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Journal articles on the topic 'NLO/NNLO calculation'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

WANG, JIAN, GUOMING CHEN, and WEIMIN WU. "THE IMPACT OF LO, NLO AND NNLO FOR THE HIGGS SEARCHING AT $\sqrt{s} = 7$ TeV OF LHC." Modern Physics Letters A 25, no. 36 (2010): 3027–31. http://dx.doi.org/10.1142/s0217732310034146.

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Most of current Monte Carlo studies on the Higgs searching are based on LO, or NLO calculation. However, in recent years, the next-to-next-to-leading order (NNLO) corrections have been computed for some physics process, and found that the cross section increases the kinematics changes. As the results, the analysis results could be impacted by these high order QCD corrections. We use standard Monte Carlo generator for LO, as well as MC@NLO for NLO and ResBos for NNLO at 7 TeV of LHC to evaluate this impact for physics channel of the Higgs, mass at 165 GeV, to WW, then W decay to lepton and neut

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2

Contogouris, A. P., and G. Grispos. "Approximate calculation of corrections at NLO and NNLO." Nuclear Physics B - Proceedings Supplements 96, no. 1-3 (2001): 94–97. http://dx.doi.org/10.1016/s0920-5632(01)01115-x.

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3

Eskola, K. J., V. J. Kolhinen, P. V. Ruuskanen, and R. L. Thews. "Effects of Shadowing on Drell–Yan Dilepton Production in High Energy Nuclear Collisions." International Journal of Modern Physics E 12, no. 02 (2003): 197–209. http://dx.doi.org/10.1142/s0218301303001260.

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We compute cross sections for the Drell–Yan process in nuclear collisions at next-to-leading order (NLO) in αs. The effects of shadowing on the normalization and on the mass and rapidity dependence of these cross sections are presented. An estimate of higher order corrections is obtained from next-to-next-to-leading order (NNLO) calculation of the rapidity-integrated mass distribution. Variations in these predictions resulting from choices of parton distributions sets are discussed. Numerical results for mass distributions at NLO are presented for RHIC and LHC energies, using appropriate rapid

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4

Ocalan, Kadir. "Accurate prediction of the Drell-Yan ϕη* distribution in wide dilepton mass and rapidity ranges in pp collisions through NNLO+N³LL". Physica Scripta 96, № 12 (2021): 125323. http://dx.doi.org/10.1088/1402-4896/ac3e19.

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Abstract This paper presents high-accuracy predictions for the differential cross ss as a function of the key observable ϕ η * of the neutral-current Drell-Yan (DY) dilepton production in proton-proton (pp) collisions. The differential distributions for the ϕ η * are presented by using the state-of-the-art predictions from the combined calculations of fixed-order perturbative quantum chromodynamics (QCD) corrections at next-to-next-to-leading order (NNLO) accuracy and resummation of large logarithmic terms at next-to-next-to-leading logarithmic (NNLL) and next-to-NNLL (N3LL) accuracies, i.e.,

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5

CONTOGOURIS, A. P., and Z. MEREBASHVILI. "APPROXIMATE NEXT-TO-LEADING ORDER AND NEXT-TO-NEXT-TO-LEADING ORDER CORRECTIONS." International Journal of Modern Physics A 18, no. 06 (2003): 957–66. http://dx.doi.org/10.1142/s0217751x03013983.

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For processes involving structure functions and/or fragmentation functions, arguments that over a range of a proper kinematic variable, there is a part that dominates the next-to-leading order (NLO) corrections, are briefly reviewed. The arguments are tested against more recent NLO and in particular complete next-to-next-to-leading order (NNLO) calculations. A critical examination of when these arguments may not be useful is also presented.

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6

Kovalenko, O. "Neutral Meson and Direct Photon Measurements with the ALICE Experiment." Ukrainian Journal of Physics 64, no. 7 (2019): 602. http://dx.doi.org/10.15407/ujpe64.7.602.

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The ALICE experiment is designed to study the properties of the matter created in proton-proton and heavy-ion collisions at the LHC. Neutral mesons can be reconstructed in ALICE in a wide range of transverse momenta via two-photon decays. Neutral meson measurements in pp collisions give an opportunity to validate the NLO or NNLO pQCD calculations and to constrain the parton distribution functions and the parton fragmentation functions. Neutral meson spectra measured in pA and AA collisions allow us to test a modification of the parton distribution functions in nuclei and the parton energy loss

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7

Wang, Feng, Frank P. Larkins, M.J. Brunger, Marek Michalewicz, and David Alan Winkler. "Core molecular orbital contribution to N2O isomerization as studied using theoretical electron momentum spectroscopy." Spectrochimica Acta Part A Molecular and Biomolecular Spectroscopy 57, no. 1 (2001): 9–15. https://doi.org/10.1016/S1386-1425(00)00335-8.

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Core molecular orbital contribution to the electronic structure of N2O isomers has been studied using quantum mechanical density functional theory combined with a plane wave impulse approximation method. Momentum distributions of wave functions for inner shell molecular orbitals of the linear NNO, cyclic and linear NON isomers of N2O are calculated through the (e, 2e) differential cross sections in momentum space. This is possible because this momentum distribution is directly proportional to the modulus squared of the momentum space wave function for the molecular orbital in question. While t

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8

Altowyan, Mezna Saleh, Saied M. Soliman, Jamal Lasri, et al. "A New Pt(II) Complex with Anionic s-Triazine Based NNO-Donor Ligand: Synthesis, X-ray Structure, Hirshfeld Analysis and DFT Studies." Molecules 27, no. 5 (2022): 1628. http://dx.doi.org/10.3390/molecules27051628.

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The reaction of PtCl2 with s-triazine-type ligand (HTriaz) (1:1) in acetone under heating afforded a new [Pt(Triaz)Cl] complex. Single-crystal X-ray diffraction analysis showed that the ligand (HTriaz) is an NNO tridentate chelate via two N-atoms from the s-triazine and hydrazone moieties and one oxygen from the deprotonated phenolic OH. The coordination environment of the Pt(II) is completed by one Cl−1 ion trans to the Pt-N(hydrazone). Hirshfeld surface analysis showed that the most dominant interactions are the H···H, H···C and O···H intermolecular contacts. These interactions contributed b

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9

Babazadeh, Shahrouz, Tanya Furman, John M. Cottle, Davood Raeisi, and Ianna Lima. "Magma chamber evolution of the Ardestan pluton, Central Iran: evidence from mineral chemistry, zircon composition and crystal size distribution." Mineralogical Magazine 83, no. 6 (2019): 763–80. http://dx.doi.org/10.1180/mgm.2019.44.

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AbstractThe Oligo–Miocene Ardestan quartz diorite to tonalite is part of widespread Cenozoic magmatism within the Urumieh–Dokhtar Magmatic Assemblage of Iran. The Ardestan pluton is composed mainly of varying proportions of plagioclase feldspar (normally zoned from bytownite to andesine), amphibole (magnesio-hornblende) and biotite. Biotite exhibits a range of Al values (~2–2.8 apfu) over very restricted Fe# ratios (0.42–0.56) which are characteristic of continental arc magmatic suites. High Ti2O contents of biotite (<6.1 wt.%) suggest a magmatic origin. Ti-in-biotite geothermometery gives

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10

Campbell, John, Tobias Neumann, and Zack Sullivan. "Single-top-quark production in the t-channel at NNLO." Journal of High Energy Physics 2021, no. 2 (2021). http://dx.doi.org/10.1007/jhep02(2021)040.

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Abstract We present a calculation of t-channel single-top-quark production and decay in the five-flavor scheme at NNLO. Our results resolve a disagreement between two previous calculations of this process that found a difference in the inclusive cross section at the level of the NNLO coefficient itself. We compare in detail with the previous calculations at the inclusive, differential and fiducial level including b-quark tagging at a fixed scale μ = mt. In addition, we advocate the use of double deep inelastic scattering (DDIS) scales (μ2 = Q2 for the light-quark line and μ2 = Q2 + $$ {m}_t^2

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11

Lansberg, Jean-Philippe, Maxim Nefedov, and Melih A. Ozcelik. "Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections." Journal of High Energy Physics 2022, no. 5 (2022). http://dx.doi.org/10.1007/jhep05(2022)083.

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Abstract The energy dependence of the total hadroproduction cross section of pseudoscalar quarkonia is computed via matching Next-to-Leading Order (NLO) Collinear-Factorisation (CF) results with resummed higher-order corrections, proportional to $$ {\alpha}_s^n{\ln}^{n-1} $$ α s n ln n − 1 (1/z), to the CF hard-scattering coefficient, where z = M2/$$ \hat{s} $$ s ̂ with M and $$ \hat{s} $$ s ̂ being the quarkonium mass and the partonic center-of-mass energy squared. The resummation is performed using High-Energy Factorisation (HEF) in the Doubly-Logarithmic (DL) approximation, which is a subse

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12

Valeshabadi, Ramin Kord, Majid Modarres, and Somayeh Rezaie. "Three-photon productions within the $$k_t$$-factorization at the LHC." European Physical Journal C 81, no. 11 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09771-9.

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AbstractRecently, the ATLAS data of isolated three-photon production showed that the next-to-leading order (NLO) collinear factorization is not enough to describe experimental data. Therefore, one needs to calculate the cross section beyond the NLO, and as showed later, these data can be well described by the NNLO calculation within the collinear factorization framework. However, it is shown that the $$k_t$$ k t -factorization can be quite successful in describing exclusive and high energy collision processes, henceforth we decided to calculate isolated three-photon production within this fram

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13

Isaacson, Joshua, Yao Fu, and C. P. Yuan. "Improving resbos for the precision needs of the LHC." Physical Review D 110, no. 7 (2024). http://dx.doi.org/10.1103/physrevd.110.073002.

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The resummation calculation (esos) is a widely used tool for the simulation of single vector boson production at colliders. In this work, we develop a significant improvement over the esos code by increasing the accuracy from NNLL+NLO to N3LL+NNLO and release the esos v2.0 code. Furthermore, we propose a new nonperturbative function that includes information about the rapidity of the system (IFY). The IFY functional form was fitted to data from fixed target experiments, the Tevatron, and the LHC. We find that the nonperturbative function has mild rapidity dependence based on the results of the

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14

Chawdhry, Herschel A., Michał Czakon, Alexander Mitov, and Rene Poncelet. "NNLO QCD corrections to diphoton production with an additional jet at the LHC." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)093.

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Abstract We calculate the NNLO QCD corrections to diphoton production with an additional jet at the LHC. Our calculation represents the first NNLO-accurate prediction for the transverse momentum distribution of the diphoton system. The improvement in the accuracy of the theoretical prediction is significant, by a factor of up to four relative to NLO QCD as estimated through scale variations. Our calculation is exact except for the finite remainder of the two-loop amplitude which is included at leading color. The numerical impact of this approximated contribution is small. The results of this w

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15

Sirunyan, A. M., A. Tumasyan, W. Adam, et al. "Extraction and validation of a new set of CMS pythia8 tunes from underlying-event measurements." European Physical Journal C 80, no. 1 (2020). http://dx.doi.org/10.1140/epjc/s10052-019-7499-4.

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AbstractNew sets of CMS underlying-event parameters (“tunes”) are presented for the pythia8 event generator. These tunes use the NNPDF3.1 parton distribution functions (PDFs) at leading (LO), next-to-leading (NLO), or next-to-next-to-leading (NNLO) orders in perturbative quantum chromodynamics, and the strong coupling evolution at LO or NLO. Measurements of charged-particle multiplicity and transverse momentum densities at various hadron collision energies are fit simultaneously to determine the parameters of the tunes. Comparisons of the predictions of the new tunes are provided for observabl

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16

Lansberg, Jean-Philippe, Maxim Nefedov, and Melih A. Ozcelik. "Curing the high-energy perturbative instability of vector-quarkonium-photoproduction cross sections at order $$\alpha \alpha _s^3$$ with high-energy factorisation." European Physical Journal C 84, no. 4 (2024). http://dx.doi.org/10.1140/epjc/s10052-024-12588-x.

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AbstractWe cure the perturbative instability of the total-inclusive-photoproduction cross sections of vector S-wave quarkonia observed at high photon-proton-collision energies ($$\sqrt{s_{\gamma p}}$$ s γ p ) in Next-to-Leading Order (NLO) Collinear-Factorisation (CF) computations. This is achieved using High-Energy Factorisation (HEF) in the Doubly-Logarithmic Approximation (DLA), which is a subset of the Leading-Logarithmic Approximation (LLA) of HEF which resums higher-order QCD corrections proportional to $$\alpha _s^n \ln ^{n-1} ({\hat{s}}{/}M^2)$$ α s n ln n - 1 ( s ^ / M 2 ) in the Regg

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17

Becker, Kathrin, Fabrizio Caola, Andrea Massironi, et al. "Precise predictions for boosted Higgs production." SciPost Physics Core 7, no. 1 (2024). http://dx.doi.org/10.21468/scipostphyscore.7.1.001.

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Inclusive Higgs boson production at large transverse momentum is induced by different production channels. We focus on the leading production mechanism through gluon fusion, and perform a consistent combination of the state of the art calculations obtained in the infinite-top-mass effective theory at next-to-next-to-leading order (NNLO) and in the full Standard Model (SM) at next-to-leading order (NLO). We thus present approximate QCD predictions for this process at NNLO, and a study of the corresponding perturbative uncertainties. This calculation is then compared with those obtained with com

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18

Guzzi, Marco, Pavel Nadolsky, Laura Reina, Doreen Wackeroth, and Keping Xie. "General mass variable flavor number scheme for Z boson production in association with a heavy quark at hadron colliders." Physical Review D 110, no. 11 (2024). https://doi.org/10.1103/physrevd.110.114030.

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We present a methodology to streamline implementation of massive-quark radiative contributions in calculations with a variable number of active partons in proton-proton collisions. The methodology introduces and heavy-quark parton distribution functions (PDFs) to implement calculations in the Aivazis–Collins–Olness–Tung (ACOT) factorization scheme and its simplified realization in various processes up to the next-to-the-next-to-leading order in the QCD coupling strength. Interpolation tables for bottom-quark subtraction and residual distributions for CT18 NLO and NNLO PDF ensembles are provide

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19

Dilsiz, Kamuran, Emrah Tiras, Meryem Yilmaz, and Hasan Ogul. "QCD predictions for simultaneously produced Higgs and vector bosons at $$\sqrt{s}$$ = 13, 14, 27 and 100 TeV with a comprehensive study of systematic uncertainty and charge asymmetry." European Physical Journal C 85, no. 1 (2025). https://doi.org/10.1140/epjc/s10052-025-13823-9.

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Abstract A comprehensive study of high-order QCD cross-section for the Higgs boson that is simultaneously produced with a vector boson is presented at $$\sqrt{s} = 13, 14, 27$$ s = 13 , 14 , 27 and 100 TeV in this manuscript. The simultaneous Higgs production with a vector boson facilitates the investigation of the Higgs signal. In the calculations, three different branching states of the Higgs ( $$\tau ^{-}\tau ^{+}$$ τ - τ + , $$b{\bar{b}}$$ b b ¯ , $$\gamma \gamma $$ γ γ ) and vector bosons [ $$W^{\pm }(e^{\pm }\nu ({\bar{\nu }})), Z(e^{-}e^{+}$$ W ± ( e ± ν ( ν ¯ ) ) , Z ( e - e + )] were

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20

Buccioni, Federico, Jean-Nicolas Lang, Jonas M. Lindert, et al. "OpenLoops 2." European Physical Journal C 79, no. 10 (2019). http://dx.doi.org/10.1140/epjc/s10052-019-7306-2.

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Abstract We present the new version of OpenLoops, an automated generator of tree and one-loop scattering amplitudes based on the open-loop recursion. One main novelty of OpenLoops 2 is the extension of the original algorithm from NLO QCD to the full Standard Model, including electroweak (EW) corrections from gauge, Higgs and Yukawa interactions. In this context, among several new features, we discuss the systematic bookkeeping of QCD–EW interferences, a flexible implementation of the complex-mass scheme for processes with on-shell and off-shell unstable particles, a special treatment of on-she

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21

Devoto, Simone, Massimiliano Grazzini, Stefan Kallweit, Javier Mazzitelli, and Chiara Savoini. "Precise predictions for $$ t\overline{t}H $$ production at the LHC: inclusive cross section and differential distributions." Journal of High Energy Physics 2025, no. 3 (2025). https://doi.org/10.1007/jhep03(2025)189.

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Abstract We present the first fully differential next-to-next-to-leading order (NNLO) QCD calculation for the production of a top-antitop quark pair in association with a Higgs boson $$ \left(t\overline{t}H\right) $$ t t ¯ H at hadron colliders. The computation is exact, except for the finite part of the two-loop virtual contribution, which we estimate using two different methods that yield consistent results within their respective uncertainties. The first method relies on a soft-Higgs factorisation formula that we develop up to the three-loop order. The second is based on a high-energy expan

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22

Dasgupta, Mrinal, Basem Kamal El-Menoufi, and Jack Helliwell. "QCD resummation for groomed jet observables at NNLL+NLO." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)045.

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Abstract We use a direct QCD approach to carry out the next-to-next-to-leading logarithmic (NNLL) resummation for observables groomed with the modified mass-drop tagger (Soft Drop β = 0). We focus on observables which are additive given an arbitrary number of soft-collinear emissions. For this class of observables, we arrange the structure of the NNLL terms into two distinct categories. The first defines a simplified inclusive tagger, whereby the NNLL collinear structure is directly related to ungroomed observables. The second defines a clustering correction which takes a particularly simple f

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23

Pozzorini, Stefano, Natalie Schär, and Max Zoller. "Two-loop amplitude generation in OpenLoops." SciPost Physics Proceedings, no. 7 (June 21, 2022). http://dx.doi.org/10.21468/scipostphysproc.7.018.

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Numerical tools, such as OpenLoops, provide NLO scattering amplitudes for a very wide range of hard scattering amplitudes in a fully automated way. In order to match the numerical precision of current and future experiments, however, the higher precision of NNLO calculations is essential, and their automation in a similar tool highly desirable.In our approach, D-dimensional amplitudes are decomposed into loop-momentum tensor integrals with coefficients constructed in four dimensions and rational terms. We present a fully generic algorithm for the efficient numerical construction of the tensor

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24

Hu, YaLu, ChuanLe Sun, XiaoMin Shen, and Jun Gao. "Hadronic decays of Higgs boson at NNLO matched with parton shower." Journal of High Energy Physics 2021, no. 8 (2021). http://dx.doi.org/10.1007/jhep08(2021)122.

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Abstract We present predictions for hadronic decays of the Higgs boson at next-to-next-to-leading order (NNLO) in QCD matched with parton shower based on the POWHEG framework. Those include decays into bottom quarks with full bottom-quark mass dependence, light quarks, and gluons in the heavy top quark effective theory. Our calculations describe exclusive decays of the Higgs boson with leading logarithmic accuracy in the Sudakov region and next-to-leading order (NLO) accuracy matched with parton shower in the three-jet region, with normalizations fixed to the partial width at NNLO. We estimate

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25

Prestel, Stefan. "Matching N3LO QCD calculations to parton showers." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)041.

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Abstract The search for new interactions and particles in high-energy collider physics relies on precise background predictions. This has led to many advances in combining precise fixed-order cross-section calculations with detailed event generator simulations. In recent years, fixed-order qcd calculations of inclusive cross sections at n3lo precision have emerged, followed by an impressive progress at producing differential results. Once differential results become publicly available, it would be prudent to embed these into event generators to allow the community to leverage these advances. T

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26

Fernandez, Loïc, and Jean-Loïc Kneur. "Cold quark matter: Renormalization group improvement at next-to-next-to leading order." Physical Review D 111, no. 3 (2025). https://doi.org/10.1103/physrevd.111.034020.

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We extend previous next-to-next-to leading order (NNLO) calculations of the quantum chromodynamics (QCD) pressure at zero temperature and nonzero baryonic densities using the renormalization group optimized perturbation theory (RGOPT), which entails an all-order RG-invariant resummation. First, we consider the approximation of three massless quark flavors, and then we add the running strange quark mass dependence. The resulting pressure displays a sizeably reduced sensitivity to variations of the arbitrary renormalization scale as compared to the state-of-the-art NNLO results. This confirms pr

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Campbell, John, Tobias Neumann, and Gherardo Vita. "Projection-to-Born-improved subtractions at NNLO." Journal of High Energy Physics 2025, no. 5 (2025). https://doi.org/10.1007/jhep05(2025)172.

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Abstract While the current frontier in fixed-order precision for collider observables is N3LO, important steps are necessary to consolidate NNLO cross-section predictions with improved stability and efficiency. Slicing methods have been successfully applied to obtain NNLO and N3LO predictions, but have shown poor performance in the presence of fiducial cuts due to large kinematical power corrections. In this paper we implement Projection-to-Born-improved q T (P2B q T ) and jettiness (P2B τ 0) subtractions for a large class of color singlet processes in MCFM. This method allows for the efficien

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Aad, G., B. Abbott, D. C. Abbott, et al. "Differential $$ t\overline{t} $$ cross-section measurements using boosted top quarks in the all-hadronic final state with 139 fb−1 of ATLAS data." Journal of High Energy Physics 2023, no. 4 (2023). http://dx.doi.org/10.1007/jhep04(2023)080.

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Abstract Measurements of single-, double-, and triple-differential cross-sections are presented for boosted top-quark pair-production in 13 TeV proton–proton collisions recorded by the ATLAS detector at the LHC. The top quarks are observed through their hadronic decay and reconstructed as large-radius jets with the leading jet having transverse momentum (pT) greater than 500 GeV. The observed data are unfolded to remove detector effects. The particle-level cross-section, multiplied by the $$ t\overline{t}\to WWb\overline{b} $$ t t ¯ → WWb b ¯ branching fraction and measured in a fiducial phase

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Saleev, Vladimir. "Production of three isolated photons in the high-energy factorization approach." SciPost Physics Proceedings, no. 8 (July 14, 2022). http://dx.doi.org/10.21468/scipostphysproc.8.167.

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We study large-p_TpT three-photon production at the LHC at the center-of-mass energy \sqrt{s}=8s=8 TeV. We use the LO approximation of the parton Reggeization approach consistently merged with the real NLO corrections. For numerical calculations use the parton-level generator KaTie and modified KMR-type unintegrated parton distribution functions. We find good agreement between our predictions and data with the same accuracy as in the NNLO calculations based on the collinear parton model of QCD. At higher energies (\sqrt{s}=13s=13 and 27 TeV) parton Reggeization approach predicts larger cross s

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Borschensky, Christoph, Fausto Frisenna, Wojciech Kotlarski, Anna Kulesza, and Dominik Stöckinger. "Squark production with R-symmetry beyond NLO at the LHC." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)151.

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Abstract The Minimal R-symmetric Supersymmetric Standard Model (MRSSM) provides a realisation of supersymmetry in which the parameter space is less constrained by the current LHC data than in the simplest supersymmetric scenarios. In the present paper, we obtain the most precise theoretical predictions in the MRSSM for squark production at the LHC, enabling accurate interpretations of LHC data in terms of the MRSSM. We perform threshold resummation of soft gluon corrections to the total cross sections for the production of squark-(anti)squark pairs at the LHC in the MRSSM framework. The resumm

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Alioli, Simone, Alessandro Broggio, and Matthew A. Lim. "Zero-jettiness resummation for top-quark pair production at the LHC." Journal of High Energy Physics 2022, no. 1 (2022). http://dx.doi.org/10.1007/jhep01(2022)066.

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Abstract We study the resummation of the 0-jettiness resolution variable $$ \mathcal{T} $$ T 0 for the top-quark pair production process in hadronic collisions. Starting from an effective theory framework we derive a factorisation formula for this observable which allows its resummation at any logarithmic order in the $$ \mathcal{T} $$ T 0 → 0 limit. We then calculate the $$ \mathcal{O} $$ O (αs) corrections to the soft function matrices and, by employing renormalisation group equation methods, we obtain the ingredients for the resummation formula up to next-to-next-to-leading logarithmic (NNL

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Shahri, Taghavi F., Atashbar S. Tehrani, Alizadeh Z. Yazdi, Hamzeh Khanpour, Tehrani S. Atashbar, and Yazdi Z. Alizadeh. "Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach." March 10, 2016. https://doi.org/10.1103/physrevd.93.114024.

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We present a first QCD analysis of next-to-next-leading-order (NNLO) contributions of the spin-dependent parton distribution functions (PPDFs) in the nucleon and their uncertainties using the Jacobi polynomial approach. Having the NNLO contributions of the quark-quark and gluon-quark splitting functions in perturbative QCD [Nucl. Phys. B889, 351 (2014)], one can obtain the evolution of longitudinally polarized parton densities of hadrons up to NNLO accuracy of QCD. Very large sets of recent and up-to-date experimental data of spin structure functions of the proton g1p, neutron g1n, and deutero

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Abdul Khalek, Rabah, Richard D. Ball, Stefano Carrazza, et al. "A first determination of parton distributions with theoretical uncertainties." European Physical Journal C 79, no. 10 (2019). http://dx.doi.org/10.1140/epjc/s10052-019-7364-5.

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Abstract The parton distribution functions (PDFs) which characterize the structure of the proton are currently one of the dominant sources of uncertainty in the predictions for most processes measured at the Large Hadron Collider (LHC). Here we present the first extraction of the proton PDFs that accounts for the missing higher order uncertainty (MHOU) in the fixed-order QCD calculations used in PDF determinations. We demonstrate that the MHOU can be included as a contribution to the covariance matrix used for the PDF fit, and then introduce prescriptions for the computation of this covariance

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Cridge, T., L. A. Harland-Lang, A. D. Martin, and R. S. Thorne. "An investigation of the $$\alpha _S$$ and heavy quark mass dependence in the MSHT20 global PDF analysis." European Physical Journal C 81, no. 8 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09533-7.

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AbstractWe investigate the MSHT20 global PDF sets, demonstrating the effects of varying the strong coupling $$\alpha _S(M_Z^2)$$ α S ( M Z 2 ) and the masses of the charm and bottom quarks. We determine the preferred value, and accompanying uncertainties, when we allow $$\alpha _S(M_Z^2)$$ α S ( M Z 2 ) to be a free parameter in the MSHT20 global analyses of deep-inelastic and related hard scattering data, at both NLO and NNLO in QCD perturbation theory. We also study the constraints on $$\alpha _S(M_Z^2)$$ α S ( M Z 2 ) which come from the individual data sets in the global fit by repeating t

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35

Broggio, Alessandro, Sebastian Jaskiewicz, and Leonardo Vernazza. "Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold." Journal of High Energy Physics 2021, no. 10 (2021). http://dx.doi.org/10.1007/jhep10(2021)061.

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Abstract We calculate the generalized soft functions at $$ \mathcal{O} $$ O ($$ {\alpha}_s^2 $$ α s 2 ) at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and matter fields, giving rise to a dependence on additional convolution variables with respect to the leading power result. These soft functions constitute the last missing ingredient for the validation of the bare factorization theorem to NNLO accuracy. We carry out the calculations by reducing the soft squared amplitudes into a set o

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36

Saygin, Kadir. "Predictions of the ratio and asymmetry probes of the invisible _{Z-boson decay}." Physica Scripta, July 17, 2023. http://dx.doi.org/10.1088/1402-4896/ace80a.

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Abstract Higher-order predictions through the combined accuracy including next-to-leading order (NLO) electroweak (EW) and next-to-NLO (NNLO) quantum chromodynamics (QCD) corrections in underlying perturbation theories are presented thoroughly for the invisible decay of the Z boson into neutrino pair relative to its decay into charged-lepton pair (leptonic decay). The combined NNLO QCD+NLO EW predictions are achieved based on the fully-differential calculations of cross sections of both the invisible and leptonic processes in proton-proton (pp) collisions at 13 TeV center-of-mass energy. Diffe

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37

Kidonakis, Nikolaos, and Alberto Tonero. "N3LO soft-gluon corrections in single-particle-inclusive kinematics and H+H− production." Journal of High Energy Physics 2024, no. 6 (2024). http://dx.doi.org/10.1007/jhep06(2024)138.

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Abstract We calculate the complete soft-gluon corrections for the production of colorless final states through N3LO in single-particle-inclusive kinematics. We present explicit analytical results and use them to study higher-order QCD corrections for the production of a heavy charged Higgs pair (H+H−) via quark-antiquark annihilation in the Two-Higgs-Doublet Model at LHC energies. We calculate the NNLO soft-gluon and virtual QCD corrections as well as the N3LO soft-gluon corrections to the total cross section and the charged-Higgs rapidity distribution. This is the first calculation of complet

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38

Kidonakis, Nikolaos, and Nodoka Yamanaka. "QCD corrections in $$tq\gamma $$ production at hadron colliders." European Physical Journal C 82, no. 8 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10643-z.

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AbstractWe study QCD corrections for the associated production of a single top quark and a photon ($$tq\gamma $$ t q γ production) at hadron colliders. We calculate the NLO cross section at LHC and future collider energies for a variety of kinematical cuts, and we estimate uncertainties from scale dependence and from parton distributions. We also calculate differential distributions in top-quark transverse-momentum and rapidity as well as photon energy. Finally, we study higher-order corrections from soft-gluon emission for this process, and we provide approximate NNLO (aNNLO) results for the

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Knobbe, Max, Daniel Reichelt, and Steffen Schumann. "(N)NLO+NLL’ accurate predictions for plain and groomed 1-jettiness in neutral current DIS." Journal of High Energy Physics 2023, no. 9 (2023). http://dx.doi.org/10.1007/jhep09(2023)194.

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Abstract The possibility to reanalyse data taken by the HERA experiments offers the chance to study modern QCD jet and event-shape observables in deep-inelastic scattering. To address this, we compute resummed and matched predictions for the 1-jettiness distribution in neutral current DIS with and without grooming the hadronic final state using the soft-drop technique. Our theoretical predictions also account for non-perturbative corrections from hadronisation through parton-to-hadron level transfer matrices extracted from dedicated Monte Carlo simulations with Sherpa. To estimate parameter un

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Meng, Rui-Qing, Sheng-Quan Wang, Ting Sun, Chao-Qin Luo, Jian-Ming Shen, and Xing-Gang Wu. "QCD improved top-quark decay at next-to-next-to-leading order." European Physical Journal C 83, no. 1 (2023). http://dx.doi.org/10.1140/epjc/s10052-023-11224-4.

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AbstractWe analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative QCD predictions. The PMC renormalization scales of the coupling constant $$\alpha _s$$ α s are determined by absorbing the non-conformal $$\beta $$ β terms that govern the behavior of the running coupling by using the Renormalization Group Equation (RGE). We obtain the PMC scale $$Q_\star =15.5$$ Q ⋆ = 15.5 GeV for the top-quark decay, which is an o

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van Beekveld, Melissa, Mrinal Dasgupta, Basem Kamal El-Menoufi, Jack Helliwell, Pier Francesco Monni, and Gavin P. Salam. "A collinear shower algorithm for NSL non-singlet fragmentation." Journal of High Energy Physics 2025, no. 3 (2025). https://doi.org/10.1007/jhep03(2025)209.

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Abstract We formulate a collinear partonic shower algorithm that achieves next-to-single-logarithmic (NSL, $$ {\alpha}_s^n{L}^{n-1} $$ α s n L n − 1 ) accuracy for collinear-sensitive non-singlet fragmentation observables. This entails the development of an algorithm for nesting triple-collinear splitting functions. It also involves the inclusion of the one-loop double-collinear corrections, through a z-dependent NLO-accurate effective 1 → 2 branching probability, using a formula that can be applied more generally also to future full showers with 1 → 3 splitting kernels. The specific NLO branc

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Baranowski, Daniel, Maximilian Delto, Kirill Melnikov, and Chen-Yu Wang. "On phase-space integrals with Heaviside functions." Journal of High Energy Physics 2022, no. 2 (2022). http://dx.doi.org/10.1007/jhep02(2022)081.

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Abstract We discuss peculiarities that arise in the computation of real-emission contributions to observables that contain Heaviside functions. A prominent example of such a case is the zero-jettiness soft function in SCET, whose calculation at next-to-next-to-next-to-leading order in perturbative QCD is an interesting problem. Since the zero-jettiness soft function distinguishes between emissions into different hemispheres, its definition involves θ-functions of light-cone components of emitted soft partons. This prevents a direct use of multi-loop methods, based on reverse unitarity, for com

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Cridge, Thomas, Lucian Alexander Harland-Lang, Jamie McGowan, et al. "Combination of aN3LO PDFs and implications for Higgs production cross-sections at the LHC." Journal of Physics G: Nuclear and Particle Physics, May 29, 2025. https://doi.org/10.1088/1361-6471/adde78.

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Abstract We discuss how the two existing approximate N3LO (aN3LO) sets of parton distributions (PDFs) from the MSHT20 and NNPDF4.0 series can be combined for LHC phenomenology, both in the pure QCD case and for the QCD⊗QED sets that include the photon PDF. Using the resulting combinations, we present predictions for the total inclusive cross-section for Higgs production in gluon fusion, vector boson fusion, and associated production at the LHC Run-3. For the gluon fusion and vector boson fusion channels, the corrections that arise when using correctly matched aN3LO PDFs with N3LO cross section

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Ball, Richard D., Stefano Carrazza, Juan Cruz-Martinez, et al. "The path to proton structure at 1% accuracy." European Physical Journal C 82, no. 5 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10328-7.

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AbstractWe present a new set of parton distribution functions (PDFs) based on a fully global dataset and machine learning techniques: NNPDF4.0. We expand the NNPDF3.1 determination with 44 new datasets, mostly from the LHC. We derive a novel methodology through hyperparameter optimization, leading to an efficient fitting algorithm built upon stochastic gradient descent. We use NNLO QCD calculations and account for NLO electroweak corrections and nuclear uncertainties. Theoretical improvements in the PDF description include a systematic implementation of positivity constraints and integrability

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Mandal, Manoj K., Pierpaolo Mastrolia, Raj Patil, and Jan Steinhoff. "Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework." Journal of High Energy Physics 2023, no. 3 (2023). http://dx.doi.org/10.1007/jhep03(2023)130.

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Abstract We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N3LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy an

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Aebischer, Jason, Christoph Bobeth, and Andrzej J. Buras. "On the importance of NNLO QCD and isospin-breaking corrections in $$\varepsilon '/\varepsilon $$." European Physical Journal C 80, no. 1 (2019). http://dx.doi.org/10.1140/epjc/s10052-019-7549-y.

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AbstractFollowing the 1999 analysis of Gambino, Haisch and one of us, we stress that all the recent NLO analyses of $$\varepsilon '/\varepsilon $$ε′/ε in the Standard Model (SM) suffer from the renormalization scheme dependence present in the electroweak penguin contributions as well as from scale uncertainties in them related to the matching scale $$\mu _W$$μW and in particular to $$\mu _t$$μt in $$m_t(\mu _t)$$mt(μt). We also reemphasize the important role of isospin-breaking and QED effects in the evaluation of $$\varepsilon '/\varepsilon $$ε′/ε. Omitting all these effects, as done in the 2

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Cal, Pedro, Rebecca von Kuk, Matthew A. Lim, and Frank J. Tackmann. "qT spectrum for Higgs boson production via heavy quark annihilation at N3LL′+aN3LO." Physical Review D 110, no. 7 (2024). http://dx.doi.org/10.1103/physrevd.110.076005.

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We study the transverse momentum (qT) spectrum of the Higgs boson produced via the annihilation of massive quarks (s, c, b) in proton-proton collisions. Using soft-collinear effective theory (SCET) and working in the five-flavor scheme, we provide predictions at three-loop order in resummed perturbation theory (N3LL′). We match the resummed calculation to full fixed-order results at next-to-next-to-leading order (NNLO), and introduce a decorrelation method to enable a consistent matching to an approximate N3LO (aN3LO) result. Since the b-quark initiated process exhibits large nonsingular corre

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Mandal, Manoj K., Pierpaolo Mastrolia, Raj Patil, and Jan Steinhoff. "Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework." Journal of High Energy Physics 2023, no. 7 (2023). http://dx.doi.org/10.1007/jhep07(2023)128.

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Abstract We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to N3LO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. The gauge-invariant binding energy and the scattering angle, in special kinematic regimes and spin configurations, are explicitly derived. The results extend our earlier study on the spin-orbi

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Buckley, A., X. Chen, J. Cruz-Martinez, et al. "A comparative study of Higgs boson production from vector-boson fusion." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)108.

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Abstract The data taken in Run II at the Large Hadron Collider have started to probe Higgs boson production at high transverse momentum. Future data will provide a large sample of events with boosted Higgs boson topologies, allowing for a detailed understanding of electroweak Higgs boson plus two-jet production, and in particular the vector-boson fusion mode (VBF). We perform a detailed comparison of precision calculations for Higgs boson production in this channel, with particular emphasis on large Higgs boson transverse momenta, and on the jet radius dependence of the cross section. We study

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Marxer, Felix, and Peter Ulmer. "Crystallisation and zircon saturation of calc-alkaline tonalite from the Adamello Batholith at upper crustal conditions: an experimental study." Contributions to Mineralogy and Petrology 174, no. 10 (2019). http://dx.doi.org/10.1007/s00410-019-1619-x.

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Abstract The understanding of the geochemical and petrophysical evolution of magmas forming intermediate calc-alkaline batholiths at shallow crustal levels critically depends on knowledge of the phase equilibria relations along the liquid line of descent. Here, we present experimental results for a tonalitic system at a pressure of 200 MPa and under water-saturated conditions. Melting experiments were performed at temperatures between 700 and 1000 °C in externally heated HCM pressure vessels, with oxygen fugacity controlled close to the Ni–NiO buffer equilibrium (NNO) employing an argon–methan

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