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Journal articles on the topic 'Boer-Mulders function'

Author: Grafiati

Published: 11 March 2023

Last updated: 31 July 2025

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1

Song, Jianxi, Yanli Li, Shi-Chen Xue, Hui Li та Xiaoyu Wang. "The cos 2ϕh Asymmetry in K± Mesons and the Λ-Hyperon-Produced SIDIS Process at Electron Ion Colliders". Universe 10, № 7 (2024): 280. http://dx.doi.org/10.3390/universe10070280.

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We investigate the cos2ϕh azimuthal asymmetry contributed by the coupling of the Boer–Mulders function and the Collins function in K±- and Λ-hyperon-produced SIDIS process. The asymmetry is studied under the transverse-momentum-dependent (TMD) factorization framework at the leading order by considering the TMD evolution effects that utilize the parametrization for non-perturbative Sudakov form factors. The DGLAP evolution effects of the collinear counterpart of the Collins function of the final-state hadrons are considered by introducing the approximated evolution kernels. We utilize the avail

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2

GAMBERG, LEONARD, and MARC SCHLEGEL. "FINAL STATE INTERACTIONS AND THE TRANSVERSE STRUCTURE OF PION." Modern Physics Letters A 24, no. 35n37 (2009): 2960–72. http://dx.doi.org/10.1142/s0217732309001170.

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In the factorized picture of semi-inclusive deep inelastic scattering the naive time reversal-odd parton distributions exist by virtue of the gauge link which is intrinsic to their definition. The link structure describes initial/final-state interactions of the active parton due to soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, calculations of final-state interaction have been performed in a perturbative one-gluon approximation. We include higher-order contributions by applying non-perturbative eikonal methods to calculate the Boer-Mulders functio

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3

Christova, E., D. Kotlorz, and E. Leader. "A new extraction of the Boer-Mulders function." Journal of Physics: Conference Series 1435 (January 2020): 012003. http://dx.doi.org/10.1088/1742-6596/1435/1/012003.

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4

Musch, Bernhard U. "Studying the Sivers and Boer-Mulders Function with Lattice QCD." Few-Body Systems 52, no. 3-4 (2011): 259–64. http://dx.doi.org/10.1007/s00601-011-0280-3.

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5

Kaur, Navdeep, and Harleen Dahiya. "Transverse momentum-dependent parton distributions of pion in the light-front holographic model." International Journal of Modern Physics A 36, no. 08n09 (2021): 2150052. http://dx.doi.org/10.1142/s0217751x21500524.

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Using the light-front holographic model, we study the transverse momentum-dependent parton distributions (TMDs) for the case of pion. At leading twist, the unpolarized parton distribution function [Formula: see text] and the Boer–Mulders function [Formula: see text] are obtained for pion. We calculate both the functions using the light-front holographic model with spin improved wave function and compare the predicted results with available results of other models. In order to provide inputs in predicting future experimental data, an LO evolution is performed from model scale to experimental sc

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6

KANG, ZHONG-BO, and JIAN-WEI QIU. "QCD EVOLUTION OF NAIVE-TIME-REVERSAL-ODD QUARK-GLUON CORRELATION FUNCTIONS." International Journal of Modern Physics: Conference Series 20 (January 2012): 118–28. http://dx.doi.org/10.1142/s2010194512009154.

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In this talk, we examine the existing calculations of QCD evolution kernels for the scale dependence of two sets of twist-3 quark-gluon correlation functions, Tq,F(x, x) and [Formula: see text], which are the first transverse-momentum-moment of the naive-time-reversal-odd Sivers and Boer-Mulders function, respectively. The evolution kernels at the leading order in strong coupling constant αs were derived by several groups with apparent differences. We identify the sources of discrepancies and are able to reconcile the results from various groups.

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7

Li, Hui, Xiaoyu Wang та Zhun Lu. "Single-spin asymmetry A_T^{sin(2ϕ−ϕ_S)} in π⁻p Drell-Yan process within TMD factorization". EPJ Web of Conferences 258 (2022): 03002. http://dx.doi.org/10.1051/epjconf/202225803002.

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We study the single-spin asymmetry ATsin(2ϕ−ϕS) in the pion-induced Drell-Yan process within the transverse momentum dependent factorization (TMD factorization). The asymmetry can be expressed as the convolution of the Boer-Mulders function and the transversity function. We numerically estimate the asymmetry ATsin(2ϕ−ϕS) at the COMPASS kinematics with the model results for the pion meson distributions from the light-cone wave function approach and the available parametrization for the proton distributions. We also include the TMD evolution formalism both proton and pion parton distribution fun

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8

Engelhardt, M., B. Musch, P. Hägler, A. Schäfer, and J. Negele. "The Boer-Mulders Transverse Momentum Distribution in the Pion and its Evolution in Lattice QCD." International Journal of Modern Physics: Conference Series 37 (January 2015): 1560034. http://dx.doi.org/10.1142/s2010194515600344.

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Starting from a definition of transverse momentum-dependent parton distributions (TMDs) in terms of hadronic matrix elements of a quark bilocal operator containing a staple-shaped gauge link, selected TMD observables can be evaluated within Lattice QCD. A TMD ratio describing the Boer-Mulders effect in the pion is investigated, with a particular emphasis on its evolution as a function of a Collins-Soper-type parameter which quantifies the proximity of the staple-shaped gauge links to the light cone.

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9

Nakano, Kenichi. "Measurement of Boer-Mulders Function via Drell-Yan Process by SeaQuest Experiment at Fermilab." International Journal of Modern Physics: Conference Series 40 (January 2016): 1660041. http://dx.doi.org/10.1142/s2010194516600417.

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The SeaQuest experiment is being carried out at Fermi National Accelerator Lab (FNAL) to investigate the nucleon structure with the Drell-Yan process. It utilizes the 120-GeV proton beam extracted from the FNAL Main Injector and targets of liquid hydrogen, liquid deuterium, carbon, iron and tungsten. The solid targets are used to measure the nuclear effects. This paper describes the flavor asymmetry of light anti-quark distributions in the proton ([Formula: see text]) and the angular distribution of Drell-Yan process. The Boer-Mulders function ([Formula: see text]) can be derived from the size

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10

Soudi, Ismail, and Abhijit Majumder. "Azimuthal anisotropies at high-p_T from transverse momentum dependent (TMD) parton distribution and fragmentation functions." EPJ Web of Conferences 296 (2024): 13015. http://dx.doi.org/10.1051/epjconf/202429613015.

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Unpolarized protons can generate transversely polarized quarks or linearly polarized gluons through a distribution known as the Boer-Mulders’ function. The fragmentation of similarly polarized partons to unpolarized hadrons is called the Collins’ function. Both of these functions include correlations between the spin or polarization and the relative transverse momentum of the incoming parton or outgoing hadron, with respect to the parent particle. We explore the effect of including these and other TMDs on the production of high-pT (unpolarized) hadron production from (unpolarized) proton-proto

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11

Lu, Zhun, Bo-Qiang Ma та Ivan Schmidt. "Flavor separation of the Boer–Mulders function from unpolarized π−p and π−D Drell–Yan processes". Physics Letters B 639, № 5 (2006): 494–98. http://dx.doi.org/10.1016/j.physletb.2006.06.053.

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12

Ivanov, N. Ya, A. V. Efremov, and O. V. Teryaev. "How to measure the linear polarization of gluons in unpolarized proton using the heavy-quark pair production." EPJ Web of Conferences 204 (2019): 02006. http://dx.doi.org/10.1051/epjconf/201920402006.

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In recent papers [1, 2], two new ways have been proposed to probe the linear polarization of gluons in unpolarized proton: using the azimuthal asymmetries and Callan-Gross ratio in heavy-quark pair leptoproduction, lN → l′QQ̅X. In this talk, we discuss in details the sensitivity of the QCD predictions for the azimuthal cos φ and cos 2φ asymmetries to the contribution of linearly polarized gluons inside unpolarized proton, where the azimuth φ is the angle between the lepton scattering plane (l, l′) and the heavy quark production plane (N, Q). Our analysis shows that the azimuthal distributions

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13

Guskov, Alexey, Amaresh Datta, Anton Karpishkov, Igor Denisenko, and Vladimir Saleev. "Probing Gluons with the Future Spin Physics Detector." Physics 5, no. 3 (2023): 672–87. http://dx.doi.org/10.3390/physics5030044.

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In this paper, we review the physics studies to be performed with the Spin Physics Detector (SPD) at the Nuclotron-based Ion Collider fAcility (NICA) which is a multi-purpose experiment designed to study nucleon spin structure in the three dimensions. With capabilities to collide polarized protons and deuterons with center-of-mass energy up to 27 GeV and luminosity up to 1032cm−2s−1 for protons (an order of magnitude less for deuterons), the experiment is considered to allow measurements of cross-sections and spin asymmetries of hadronic processes sensitive to the unpolarized and various polar

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14

Burkardt, Matthias, and Brian Hannafious. "Are all Boer–Mulders functions alike?" Physics Letters B 658, no. 4 (2008): 130–37. http://dx.doi.org/10.1016/j.physletb.2007.09.064.

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15

Christova, Ekaterina, Elliot Leader, and Michail Stoilov. "Tests for the extraction of Boer-Mulders functions." Journal of Physics: Conference Series 938 (December 2017): 012040. http://dx.doi.org/10.1088/1742-6596/938/1/012040.

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16

Hwang, Dae Sung. "Light-cone wavefunction representations of the Sivers and the Boer-Mulders distribution functions." Journal of the Korean Physical Society 62, no. 4 (2013): 581–90. http://dx.doi.org/10.3938/jkps.62.581.

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17

Chang, Wen-Chen. "Nucleon Partonic Spin Structure to be Explored by the Unpolarized Drell-Yan Program of COMPASS Experiment at CERN." International Journal of Modern Physics: Conference Series 40 (January 2016): 1660111. http://dx.doi.org/10.1142/s2010194516601113.

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The observation of the violation of Lam-Tung relation in the [Formula: see text] Drell-Yan process triggered many theoretical speculations. The TMD Boer-Mulders functions characterizing the correlation of transverse momentum and transverse spin for partons in unpolarized hadrons could nicely account for the violation. The COMPASS experiment at CERN will measure the angular distributions of dimuons from the unpolarized Drell-Yan process over a wide kinematic region and study the beam particle dependence. Significant statistics is expected from a successful run in 2015 which will bring further u

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18

MUSCH, B. U., and A. PROKUDIN. "(BESSEL-)WEIGHTED ASYMMETRIES." International Journal of Modern Physics: Conference Series 04 (January 2011): 126–34. http://dx.doi.org/10.1142/s2010194511001632.

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Semi-inclusive deep inelastic scattering experiments allow us to probe the motion of quarks inside the proton in terms of so-called transverse momentum dependent parton distribution functions (TMD PDFs), but the information is convoluted with fragmentation functions (TMD FFs) and soft factors. It has long been known that weighting the measured event counts with powers of the hadron momentum before forming angular asymmetries de-convolutes TMD PDFs and TMD FFs in an elegant way, but this also entails an undesirable sensitivity to high momentum contributions. Using Bessel functions as weights, w

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19

Liu, Xiaonan, and Bo-Qiang Ma. "Boer–Mulders function of the pion and pretzelosity distribution of the proton in the polarized pion-proton Drell–Yan process at COMPASS." European Physical Journal C 81, no. 7 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09457-2.

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AbstractWe present a phenomenological analysis of the $$q_{\text {T}}$$ q T -weighted transverse spin dependent azimuthal asymmetry recently measured by the COMPASS Collaboration in polarized pion-proton Drell–Yan process. In the kinematical regimes explored by experiments, we consider the leading-twist contributions from the Boer–Mulders distribution functions $$h_{1}^{\perp }(x,k_{\text {T}}^{2})$$ h 1 ⊥ ( x , k T 2 ) of both the pion and the proton, the transversity distribution $$h_{1}(x,k_{\text {T}}^{2})$$ h 1 ( x , k T 2 ) and the pretzelosity distribution $$h_{1\text {T}}^{\perp }(x,k_

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20

Piloñeta, Sara, and Alexey Vladimirov. "Angular distributions of Drell-Yan leptons in the TMD factorization approach." Journal of High Energy Physics 2024, no. 12 (2024). https://doi.org/10.1007/jhep12(2024)059.

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Abstract We present a comprehensive study of the angular structure functions for Drell-Yan leptons in Z/γ-boson production within the framework of the transverse momentum dependent (TMD) factorization theorem, including kinematic power corrections (KPCs). We find good agreement with the data in the applicability region of the TMD factorization theorem. The inclusion of KPCs allows us to describe all angular coefficients in a frame-independent manner using only the leading-twist TMD distributions: the unpolarized and the Boer-Mulders functions. The value of the Boer-Mulders function is determin

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21

Cheng, Dan-Dan, Zhu-Fang Cui, Minghui Ding, Craig D. Roberts, and Sebastian M. Schmidt. "Pion Boer–Mulders function using a contact interaction." European Physical Journal C 85, no. 1 (2025). https://doi.org/10.1140/epjc/s10052-025-13782-1.

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Abstract A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous Boer–Mulders (BM) function. Amongst other things, the analysis enables the following themes to be addressed: the quark current mass dependence of pion TMDs; the impact of the gauge link model on the positivity constraint that bounds the BM function relative to the unpolarised TMD; the equivalence of di

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22

Walter, Lisa, Jun Hua, Sebastian Lahrtz, et al. "Quark transverse spin-momentum correlation of the pion from lattice QCD: The Boer-Mulders function." Physical Review D 111, no. 9 (2025). https://doi.org/10.1103/physrevd.111.094507.

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We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the T-odd Boer-Mulders function of the pion, using large-momentum effective theory. The calculation is done at three lattice spacings a={0.098,0.085,0.064} fm and pion masses ∼350 MeV, with pion momenta up to 1.8 GeV. The matrix elements are renormalized in a state-of-the-art scheme and extrapolated to the continuum and infinite momentum limit. We have implemented the perturbative matching up to the next-to-next-to-leading order and carried out a renormalization-group resummation. Our results

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23

Courtoy, A., S. Scopetta, and V. Vento. "Analyzing the Boer-Mulders function within different quark models." Physical Review D 80, no. 7 (2009). http://dx.doi.org/10.1103/physrevd.80.074032.

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24

Lu, Zhun, Bo-Qiang Ma, and Jiacai Zhu. "Boer-Mulders function of the pion in the MIT bag model." Physical Review D 86, no. 9 (2012). http://dx.doi.org/10.1103/physrevd.86.094023.

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25

Tan, Chentao, and Zhun Lu. "Quark quasi-Sivers function and quasi-Boer-Mulders function in a spectator diquark model." Physical Review D 106, no. 9 (2022). http://dx.doi.org/10.1103/physrevd.106.094003.

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26

Gamberg, Leonard P., Gary R. Goldstein, and Marc Schlegel. "Transverse quark spin effects and the flavor dependence of the Boer-Mulders function." Physical Review D 77, no. 9 (2008). http://dx.doi.org/10.1103/physrevd.77.094016.

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27

Christova, E., D. Kotlorz, and E. Leader. "New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta." Physical Review D 102, no. 1 (2020). http://dx.doi.org/10.1103/physrevd.102.014035.

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28

Kovchegov, Yuri V., and M. Gabriel Santiago. "T-odd leading-twist quark TMDs at small x." Journal of High Energy Physics 2022, no. 11 (2022). http://dx.doi.org/10.1007/jhep11(2022)098.

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Abstract We study the small-x asymptotics of the flavor non-singlet T-odd leading-twist quark transverse momentum dependent parton distributions (TMDs), the Sivers and Boer-Mulders functions. While the leading eikonal small-x asymptotics of the quark Sivers function is given by the spin-dependent odderon [1, 2], we are interested in revisiting the sub-eikonal correction considered by us earlier in [3]. We first simplify the expressions for both TMDs at small Bjorken x and then construct small-x evolution equations for the resulting operators in the large-Nc limit, with Nc the number of quark c

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29

Balitsky, I. "Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x." Journal of High Energy Physics 2021, no. 5 (2021). http://dx.doi.org/10.1007/jhep05(2021)046.

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Abstract The Drell-Yan hadronic tensor for electromagnetic (EM) current is calculated in the Sudakov region $$ s\gg {Q}^2\gg {q}_{\perp}^2 $$ s ≫ Q 2 ≫ q ⊥ 2 with $$ \frac{1}{Q^2} $$ 1 Q 2 accuracy, first at the tree level and then with the double-log accuracy. It is demonstrated that in the leading order in Nc the higher-twist quark-quark-gluon TMDs reduce to leading-twist TMDs due to QCD equation of motion. The resulting tensor for unpolarized hadrons is EM gauge-invariant and depends on two leading-twist TMDs: f1 responsible for total DY cross section, and Boer-Mulders function $$ {h}_1^{\p

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30

Alexeev, G. D., M. G. Alexeev, C. Alice, et al. "Final COMPASS Results on the Transverse-Spin-Dependent Azimuthal Asymmetries in the Pion-Induced Drell-Yan Process." Physical Review Letters 133, no. 7 (2024). http://dx.doi.org/10.1103/physrevlett.133.071902.

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The COMPASS Collaboration performed measurements of the Drell-Yan process in 2015 and 2018 using a 190 GeV/c π− beam impinging on a transversely polarized ammonia target. Combining the data of both years, we present final results on the amplitudes of five azimuthal modulations, which correspond to transverse-spin-dependent azimuthal asymmetries (TSAs) in the dimuon production cross section. Three of them probe the nucleon leading-twist Sivers, transversity, and pretzelosity transverse-momentum dependent (TMD) parton distribution functions (PDFs). The other two are induced by subleading effects

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31

Balitsky, Ian. "Drell-Yan angular lepton distributions at small x from TMD factorization." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)022.

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Abstract The Drell-Yan process is studied in the framework of TMD factorization in the Sudakov region s » Q2 » $$ {q}_{\perp}^2 $$ q ⊥ 2 corresponding to recent LHC experiments with Q2 of order of mass of Z-boson and transverse momentum of DY pair ∼ few tens GeV. The DY hadronic tensors are expressed in terms of quark and quark-gluon TMDs with $$ \frac{1}{Q^2} $$ 1 Q 2 and $$ \frac{1}{N_c^2} $$ 1 N c 2 accuracy. It is demonstrated that in the leading order in Nc the higher-twist quark-quark-gluon TMDs reduce to leading-twist TMDs due to QCD equation of motion. The resulting hadronic tensors de

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32

Wang, Zhengxian, Xiaoyu Wang та Zhun Lu. "Boer-Mulders function of the pion and the qT -weighted cos2φ asymmetry in the unpolarized π−p Drell-Yan process at COMPASS". Physical Review D 95, № 9 (2017). http://dx.doi.org/10.1103/physrevd.95.094004.

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33

Kovchegov, Yuri V., and M. Gabriel Santiago. "Quark sivers function at small x: spin-dependent odderon and the sub-eikonal evolution." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)200.

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Abstract We apply the formalism developed earlier [1, 2] for studying transverse momentum dependent parton distribution functions (TMDs) at small Bjorken x to construct the small-x asymptotics of the quark Sivers function. First, we explicitly construct the complete fundamental “polarized Wilson line” operator to sub-sub-eikonal order: this object can be used to study a variety of quark TMDs at small x. We then express the quark Sivers function in terms of dipole scattering amplitudes containing various components of the “polarized Wilson line” and show that the dominant (eikonal) term which c

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34

Lu, Zhun, and Ivan Schmidt. "Updating Boer-Mulders functions from unpolarizedpdandppDrell-Yan data." Physical Review D 81, no. 3 (2010). http://dx.doi.org/10.1103/physrevd.81.034023.

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35

Zhang, Bing, Zhun Lu, Bo-Qiang Ma, and Ivan Schmidt. "Extracting Boer-Mulders functions fromp+DDrell-Yan processes." Physical Review D 77, no. 5 (2008). http://dx.doi.org/10.1103/physrevd.77.054011.

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36

Pasquini, Barbara, and Feng Yuan. "Sivers and Boer-Mulders functions in light-cone quark models." Physical Review D 81, no. 11 (2010). http://dx.doi.org/10.1103/physrevd.81.114013.

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37

Christova, E., E. Leader, and M. Stoilov. "Consistency tests for the extraction of the Boer-Mulders and Sivers functions." Physical Review D 97, no. 5 (2018). http://dx.doi.org/10.1103/physrevd.97.056018.

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38

Boer, Daniël, Tom van Daal, Jonathan Gaunt, Tomas Kasemets, and Piet Mulders. "Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering." SciPost Physics 3, no. 6 (2017). http://dx.doi.org/10.21468/scipostphys.3.6.040.

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It has been suggested that a colour-entanglement effect exists in the Drell-Yan cross section for the ‘double T-odd’ contributions at low transverse momentum \bm{Q_\st}, rendering the colour structure different from that predicted by the usual factorisation formula . These T-odd contributions can come from the Boer-Mulders or Sivers transverse momentum dependent distribution functions. The different colour structure should be visible already at the lowest possible order that gives a contribution to the double Boer-Mulders (dBM) or double Sivers (dS) effect, that is at the level of two gluon ex

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39

Soudi, Ismail, and Abhijit Majumder. "T -odd parton distribution functions and azimuthal anisotropy at high transverse momentum in p−p and p−A collisions." Physical Review C 111, no. 2 (2025). https://doi.org/10.1103/physrevc.111.024901.

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Various azimuthal anisotropies (v1,v2,v3,v4), at high transverse momentum (high pT), are shown to arise from the asymmetric scattering of transverse polarized quarks and gluons, arising from unpolarized nucleons (the Boer-Mulders effect) and resulting in unpolarized hadrons (the Collins effect). Combined with the asymmetric scattering of partons from polarization independent but transverse momentum dependent (TMD) distributions, we obtain a possible mechanism to understand the azimuthal anisotropy of hadrons at large transverse momentum observed in p−p collisions. Constraining the ratio of pol

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