Relevant bibliographies by topics / Perturbative computations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Perturbative computations'

Author: Grafiati
Published: 9 March 2023
Last updated: 28 July 2025

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Journal articles on the topic "Perturbative computations"

1

Shindler, Andrea. "Gradient Flow: Perturbative and Non-Perturbative Renormalization." EPJ Web of Conferences 274 (2022): 01005. http://dx.doi.org/10.1051/epjconf/202227401005.

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We review the gradient flow for gauge and fermion fields and its applications to lattice gauge theory computations. Using specific examples, we discuss the interplay between perturbative and non-perturbative calculations in the context of renormalization with the gradient flow.
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Debbio, Luigi Del, Francesco Di Renzo, and Gianluca Filaci. "High-order perturbative expansions in massless gauge theories with NSPT." EPJ Web of Conferences 175 (2018): 11023. http://dx.doi.org/10.1051/epjconf/201817511023.

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We investigate the possibility of using numerical stochastic perturbation theory (NSPT) to probe high orders in the perturbative expansion of lattice gauge theories with massless Wilson fermions. Twisted boundary conditions are used to regularise the gauge zero-mode; the extension of these boundary conditions to include fermions in the fundamental representation requires to introduce a smell degree of freedom. Moreover, the mass of Wilson fermions is affected by an additive renormalisation: we study how to determine the mass counterterms consistently in finite volume. The knowledge of the crit
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Lüscher, M., and P. Weisz. "Efficient numerical techniques for perturbative lattice gauge theory computations." Nuclear Physics B 266, no. 2 (1986): 309–56. http://dx.doi.org/10.1016/0550-3213(86)90094-5.

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Bern, Z. "Perturbative gravity from gauge theory." Modern Physics Letters A 29, no. 32 (2014): 1430036. http://dx.doi.org/10.1142/s0217732314300365.

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Here, we describe a recently conjectured duality between color and kinematics for gauge-theory amplitudes. Whenever this duality is manifest, the integrands of loop-level gravity scattering amplitudes can be obtained from corresponding gauge-theory amplitudes via a double-copy relation. This duality has been used to enormously simplify a number of explicit multiloop supergravity calculations. The results of these computations is that supergravity theories have a surprisingly tame ultraviolet behavior, and in some cases may even be finite. As an example, we summarize a recent calculation showin
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DEMETERFI, KRESIMIR, ANTAL JEVICKI, and JOĀO P. RODRIGUES. "PERTURBATIVE RESULTS OF COLLECTIVE STRING FIELD THEORY." Modern Physics Letters A 06, no. 35 (1991): 3199–212. http://dx.doi.org/10.1142/s0217732391003699.

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We present a summary of perturbative results obtained in the framework of collective string field theory. We discuss computations of tree-level scattering amplitudes, loop corrections to tachyon self-energy, ground state energy and finite temperature free energy. A comparison with results obtained in different approaches is given. We also discuss the physical implications of our results.
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Reyes, Edilson, and Raffaele Fazio. "High-Precision Calculations of the Higgs Boson Mass." Particles 5, no. 1 (2022): 53–73. http://dx.doi.org/10.3390/particles5010006.

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In this paper, we review the status of the computations of the perturbative quantum corrections to the Higgs boson mass in the Standard Model and in its supersymmetric extensions. In particular, supersymmetric theories require a very accurate computation of the Higgs boson mass, which includes corrections even up to the three-loop level, since their predictions are limited by theoretical uncertainties. A discussion about these uncertainties in the context of the Minimal and Next To Minimal Supersymmetric Standard Model is included.
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MANIN, YURI I. "Renormalisation and computation II: time cut-off and the Halting Problem." Mathematical Structures in Computer Science 22, no. 5 (2012): 729–51. http://dx.doi.org/10.1017/s0960129511000508.

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This is the second instalment in the project initiated in Manin (2012). In the first Part, we argued that both the philosophy and technique of perturbative renormalisation in quantum field theory could be meaningfully transplanted to the theory of computation, and sketched several contexts supporting this view.In this second part, we address some of the issues raised in Manin (2012) and develop them further in three contexts: a categorification of the algorithmic computations; time cut-off and anytime algorithms; and, finally, a Hopf algebra renormalisation of the Halting Problem.
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SURGULADZE, LEVAN R. "COMPUTER PROGRAMS FOR ANALYTICAL PERTURBATIVE CALCULATIONS IN HIGH ENERGY PHYSICS." International Journal of Modern Physics C 05, no. 06 (1994): 1089–101. http://dx.doi.org/10.1142/s0129183194001161.

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A short review of the present status of computer packages for the high order analytical perturbative calculations is presented. The mathematical algorithm and the quantum field theory methods used are briefly discussed. The most recent computer package HEPLoops for analytical computations in high energy physics up to four-loops is also discussed.
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Krmar, Marija, та Miljenko Peric. "Interplay between vibronic and spin-orbit couplings in 3П states of triatomic molecules using as an example the A3Пu electronic state of NCN". Journal of the Serbian Chemical Society 66, № 9 (2001): 613–30. http://dx.doi.org/10.2298/jsc0109613k.

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A systematic study of various effects on the structure of the spectra of linear triatomic molecules in the 3P electronic states has been carried out. Paricular attention was paid to the interplay between the vibronic and spin-orbit couplings. Variational and perturbative computations at various levels of sophistication were performed for the A3Pu state of the NCN radical.
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Karanikas, A. I., and C. N. Ktorides. "Polyakov's spin factor and new algorithms for efficient perturbative computations in QCD." Physics Letters B 500, no. 1-2 (2001): 75–86. http://dx.doi.org/10.1016/s0370-2693(01)00062-4.

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Dissertations / Theses on the topic "Perturbative computations"

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Heymes, David Verfasser], Michal [Akademischer Betreuer] [Czakon, and Werner [Akademischer Betreuer] Bernreuther. "A general subtraction scheme for next to next to leading order computations in perturbative quantum chromodynamics / David Heymes ; Michal Czakon, Werner Bernreuther." Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/1128157233/34.

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Heymes, David [Verfasser], Michal [Akademischer Betreuer] Czakon, and Werner [Akademischer Betreuer] Bernreuther. "A general subtraction scheme for next to next to leading order computations in perturbative quantum chromodynamics / David Heymes ; Michal Czakon, Werner Bernreuther." Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/1128157233/34.

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RATTI, CARLOALBERTO. "Topics in sym theories: * Ads/CFT & Mesonic Spectra ** Superspace & Scattering Amplitudes." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2010. http://hdl.handle.net/10281/11607.

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In this thesis two different topics in SYM theories are investigated. In the first part we use the AdS/CFT correspondence to study the problem of flavor symmetry for theories that are marginal deformations of the maximal SYM theory. In particular, we compute exactly the masses of the mesons of these theories. The results show that the mass spectrum is discrete, with a mass gap and a Zeeman-like splitting of the mass levels occurs. In the second part of the thesis, we develop a direct computational technique for scattering amplitudes in SYM theories. A combined use of background field method, s
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Elago, David. "Robust computational methods for two-parameter singular perturbation problems." Thesis, University of the Western Cape, 2010. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_1693_1308039217.

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<p>This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov type) as well as a tted operator nite di erence method. We notice that results on Bakhvalov mesh are better than those on Shishkin mesh. However, piecewise uniform meshes provide a simpler platform for analysis and computations. Fitted operator methods are even simpler in these regards due to the ease of operating on uniform meshes. Richardson extrapolation is applied on
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Ettenhuber, Christian. "Computational approaches for metabolic flux analysis in 13C perturbation experiments." [S.l. : s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=974209961.

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Lindquist, Dana Rae. "Computation of unsteady transonic flowfields using shock capturing and the linear perturbation Euler equations." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/13090.

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Gilbert, Michael Stephen. "A Small-Perturbation Automatic-Differentiation (SPAD) Method for Evaluating Uncertainty in Computational Electromagnetics." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1354742230.

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Higgins, Erik Tracy. "Multi-Scale Localized Perturbation Method for Geophysical Fluid Flows." Thesis, Virginia Tech, 2020. http://hdl.handle.net/10919/99889.

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An alternative formulation of the governing equations of a dynamical system, called the multi-scale localized perturbation method, is introduced and derived for the purpose of solving complex geophysical flow problems. Simulation variables are decomposed into background and perturbation components, then assumptions are made about the evolution of these components within the context of an environmental flow in order to close the system. Once closed, the original governing equations become a set of one-way coupled governing equations called the "delta form" of the governing equations for short,
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Khabir, Mohmed Hassan Mohmed. "Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_7416_1320395978.

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Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be exercised only on the expiration date, and American options which can be exercised on or before the expiration date. American options are much harder to deal with than European ones. The reason being the optimal exercise policy of these options which led to free boundary problems. Ever since the seminal work of Black and Scholes [J. Pol. Econ. 81(3) (1973), 637-659], the diff
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PASTORE, Mariachiara. "Multireference Perturbation Theories for the accurate calculation of energy and molecular properties." Doctoral thesis, Università degli studi di Ferrara, 2009. http://hdl.handle.net/11392/2388724.

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This Ph.D. thesis deals with the development and the applications of N-Electron Valence State Perturbation Theory (NEVPT), a novel form of Multireference Perturbation Theory (MRPT) put forward in collaboration between the theoretical chemistry groups of the uni- versities of Ferrara and Toulouse. A review of the NEVPT approach is presented, starting from the original second order state–specific formulation, going through the quasidegenerate multi–state extension and arriving at the implementations of the third order in the energy and of the internally contracted configuration interaction
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Books on the topic "Perturbative computations"

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Kamiński, Marcin. The Stochastic Perturbation Method for Computational Mechanics. John Wiley & Sons, Ltd, 2013. http://dx.doi.org/10.1002/9781118481844.

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H, Miller John J., ed. Singular perturbation problems in chemical physics: Analytic and computational methods. J. Wiley, 1997.

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Friedman, M. J. Accurate computation and continuation of homoclinic and heteroclinic orbits for singular perturbation problems. George C. Marshall Space Flight Center, 1993.

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Freidman, M. J. Accurate computation and continuation of homoclinic and heteroclinic orbits for singular perturbation problems. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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Lindquist, Dana R. Computation of unsteady transonic flowfields using shock capturing and the linear perturbation Euler equations. Gas Turbine Laboratory, Massachusetts Institute of Technology, 1991.

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C, Monteiro A., and United States. National Aeronautics and Space Administration., eds. Accurate computation and continuation of homoclinic and heteroclinic orbits for singular perturbation problems: Preliminary technical report for the period February 22, 1990, through October 21, 1992. Research Institute, University of Alabama in Huntsville, 1992.

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Stanley, Turner Michael, Fermi National Accelerator Laboratory, and United States. National Aeronautics and Space Administration., eds. Second-order reconstruction of the inflationary potential. Fermi National Accelerator Laboratory, 1994.

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Stanley, Turner Michael, Fermi National Accelerator Laboratory, and United States. National Aeronautics and Space Administration., eds. Second-order reconstruction of the inflationary potential. Fermi National Accelerator Laboratory, 1994.

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Stanley, Turner Michael, Fermi National Accelerator Laboratory, and United States. National Aeronautics and Space Administration., eds. Second-order reconstruction of the inflationary potential. Fermi National Accelerator Laboratory, 1994.

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Meelan, Choudhari, and Langley Research Center, eds. Multiple scales approach to weakly nonparallel and curvature effects: Details for the novice. National Aeronautics and Space Administration, Langley Research Center, 1995.

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Book chapters on the topic "Perturbative computations"

1

Jorba, Àngel. "Computational Methods in Perturbation Theory." In Perturbation Theory. Springer US, 2022. http://dx.doi.org/10.1007/978-1-0716-2621-4_758.

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Kvale, Mark, and Christoph E. Schreiner. "Perturbative M-Sequences for Auditory Systems Identification." In Computational Neuroscience. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-4831-7_102.

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Jorba, Àngel. "Computational Methods in Perturbation Theory." In Encyclopedia of Complexity and Systems Science. Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-642-27737-5_758-1.

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Ginsberg, Jerry H. "Perturbation Methods." In Nonlinear Acoustics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58963-8_10.

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AbstractPerturbation methods yield approximate analytical solutions that provide physical insight into finite-amplitude sound and benchmarks for computational methods. The acoustic Mach number is employed as the small parameter for the perturbation expansions. The first method presented is the regular perturbation technique leading to a straightforward expansion of the solution in powers of the small parameter, but which is not uniformly valid. Two methods are presented for rendering the solutions uniformly valid, the method of multiple scales and the method of renormalization. Analysis of rad
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Heijungs, Reinout, and Sangwon Suh. "Perturbation theory." In The Computational Structure of Life Cycle Assessment. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-015-9900-9_6.

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Che, Maolin, and Yimin Wei. "Perturbation Theory." In Theory and Computation of Complex Tensors and its Applications. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2059-4_3.

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Sverdlov, Viktor. "Perturbative Methods for Band Structure Calculations in Silicon." In Computational Microelectronics. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0382-1_6.

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O’Malley, Robert. "Singular Perturbation Problems." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_145.

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Söderlind, Gustaf. "Stability and perturbation bounds." In Springer Series in Computational Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-74379-5_20.

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Quiney, Harry M. "Relativistic Many-Body Perturbation Theory." In Methods in Computational Chemistry. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0711-2_5.

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Conference papers on the topic "Perturbative computations"

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Takei, Hironori, Ken-Ichi Ishikawa, and Masanori Okawa. "The perturbative computation of the gradient flow coupling for the twisted Eguchi--Kawai model with the numerical stochastic perturbation theory." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2025. https://doi.org/10.22323/1.466.0362.

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Rahnema, Farzad, and Dingkang Zhang. "Perturbation Response Function Generation Method in Multigroup Transport Problems." In Mathematics and Computation 2021. American Nuclear Society, 2021. https://doi.org/10.13182/xyz-33728.

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Laudicina, Davide, Leonardo Giusti, Matteo Bresciani, et al. "Non-perturbative thermal QCD at very high temperatures: computational strategy and hadronic screening masses." In The 41st International Symposium on Lattice Field Theory. Sissa Medialab, 2024. https://doi.org/10.22323/1.466.0181.

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Ioannou, George, Thanos Tasakos, Antonios Mylonakis, et al. "Feature Extraction and Identification Techniques for the Alignment of Perturbation Simulations With Power Plant Measurements." In Mathematics and Computation 2021. American Nuclear Society, 2021. https://doi.org/10.13182/xyz-33674.

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Qian, Kun, Shunji Wan, Claudia Tang, et al. "VarBench: Robust Language Model Benchmarking Through Dynamic Variable Perturbation." In Findings of the Association for Computational Linguistics: EMNLP 2024. Association for Computational Linguistics, 2024. http://dx.doi.org/10.18653/v1/2024.findings-emnlp.946.

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Zhong, Songxiang, Min-Rong Chen, Zeyan Zhang, Jixiang Zeng, and Zihua Guo. "A Two-Stage Adaptive Large-Scale Evolutionary Algorithm via PCA-Guided Perturbation." In 2025 IEEE Congress on Evolutionary Computation (CEC). IEEE, 2025. https://doi.org/10.1109/cec65147.2025.11043028.

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Liu, Shengchao, Xiaoming Liu, Yichen Wang, et al. "Does DetectGPT Fully Utilize Perturbation? Bridging Selective Perturbation to Fine-tuned Contrastive Learning Detector would be Better." In Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Association for Computational Linguistics, 2024. http://dx.doi.org/10.18653/v1/2024.acl-long.103.

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TAYLOR, WASHINGTON. "PERTURBATIVE COMPUTATIONS IN STRING FIELD THEORY." In TASI 2003 Lecture Notes. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812775108_0006.

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Semenoff, Gordon W. "Perturbative computations in SUSYM: Testing AdS/CFT." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454377.

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Safronov, Anton, Carlo Flore, Daniel Kikola, et al. "A tool for automated perturbative cross section computations of asymmetric hadronic collisions at next-to-leading order using the $\texttt{MadGraph5_aMC@NLO}$ framework." In 41st International Conference on High Energy physics. Sissa Medialab, 2022. http://dx.doi.org/10.22323/1.414.0494.

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