BLFQ calculations of the proton leading twist quark TMDs
DOI:
https://doi.org/10.31349/SuplRevMexFis.3.0308101Keywords:
protons, Transverse-momentum dependent distributions, SIDISAbstract
For hadron collisions, transverse-momentum-dependent parton distribution functions (TMD PDFs) are important quantities to connect the- oretic calculations and experimental cross sections. And recently, basis light-front quantization (BLFQ) has become a powerful tool to investigate the structures of the bound state. We present the first calculations within the BLFQ framework for the leading twist quark TMDs under a trivial assumption of the gauge link. We compare our calculations with previous calculations via the PDF limit and evolve our results of the unpolarized TMDs.
References
Collins, J. and Soper, D. Back-to-back jets in QCD. Nuclear Physics, Section B. 193 (1981) 381.
Collins, J. and Soper, D. Parton distribution and decay functions. Nuclear Physics, Section B. 194 (1982) 445.
Collins, J. Foundations of Perturbative QCD. Foundations Of Perturbative QCD. (2011) 624, http://ebooks.cambridge.org/ref/id/CBO9780511975592.
Avakian, H., Efremov, A., Schweitzer, P. and Yuan, F. Transverse momentum dependent distribution functions in the bag model. Physical Review D. 81 (2010) 1.
Lu, Z. and Schmidt, I. Connection between the Sivers function and the anomalous magnetic moment. Physical Review D. 75 (2007) 073008, https://link.aps.org/doi/10.1103/PhysRevD.75.073008.
Pasquini, B., Cazzaniga, S. and Boffi, S. Transverse momentum dependent parton distributions in a light-cone quark model. Physical Review D. 78 (2008) 034025, https://link.aps.org/doi/10.1103/PhysRevD.78.034025.
Wiecki, P., Li, Y., Zhao, X., Maris, P. and Vary, J. Basis lightfront quantization approach to positronium. Physical Review D. 91 (2015) 105009, https://link.aps.org/doi/10.1103/PhysRevD.91.105009.
Musch, B., Hagler, P., Negele, J. and Schäfer, A. Exploring quark transverse momentum distributions with lattice QCD. Physical Review D. 83 (2011) 1.
Musch, B., Hagler, P., Engelhardt, M., Negele, J. and Schäfer, A. Sivers and Boer-Mulders observables from lattice QCD. Physical Review D. 85 (2012) 094510, https://link.aps.org/doi/10.1103/PhysRevD.85.094510.
Signori, A., Bacchetta, A., Radici, M. and Schnell, G. Investigations into the flavor dependence of partonic transverse momentum. Journal Of High Energy Physics. 2013 (2013).
Anselmino, M., Boglione, M., Gonzalez H., J., Melis, S. and Prokudin, A. Unpolarised transverse momentum dependent distribution and fragmentation functions from SIcludegraphicsDIS multiplicities. Journal Of High Energy Physics. 2014 (2014).
Anselmino, M., Boglione, M., D’Alesio, U., Murgia, F. and Prokudin, A. Study of the sign change of the Sivers function from STAR collaboration W/Z production data. Journal Of High Energy Physics. 2017 (2017).
J. Cammarota, et al., Origin of single transverse-spin asymmetries in high-energy collisions. Physical Review D. 102 (2020) 54002, https://doi.org/10.1103/PhysRevD.102.054002.
Bhattacharya, S., Kang, Z., Metz, A., Penn, G. and Pitonyak, D. First global QCD analysis of the TMD g1T from semiinclusive DIS data. (2021,10), http://arxiv.org/abs/2110.10253.
D’Alesio, U., Flore, C. and Prokudin, A. Role of the Soffer bound in determination of transversity and the tensor charge. Physics Letters, Section B. 803 (2020) 135347, https://doi.org/10.1016/j.physletb.2020.135347.
Lefky, C. and Prokudin, A. Extraction of the distribution function h1T from experimental data. Physical Review D. 91 (2015) 1.
Avakian, H., Efremov, A., Schweitzer, P. and Yuan, F. Transverse momentum dependent distribution functions in the bag model. Physical Review D. 81 (2010) 1.
Hu, Z., Xu, S., Mondal, C., Zhao, X. and Vary, J. Transverse structure of electron in momentum space in basis light-front quantization. Physical Review D. 103 (2021) 36005, https://doi.org/10.1103/PhysRevD.103.036005.
M. Kreshchuk, et al., Simulating hadronic physics on noisy intermediate-scale quantum devices using basis light-front quantization. Physical Review A. 103 (2021) 062601, https://link.aps.org/doi/10.1103/PhysRevA.103.062601
L. Adhikari, et al., Generalized Parton Distributions and Spin Structures of Light Mesons from a Light-Front Hamiltonian Approach. ArXiv (2021) 1.
C. Mondal, et al., Proton structure from a lightfront Hamiltonian. Physical Review D. 102 (2020) 016008, https://link.aps.org/doi/10.1103/PhysRevD.102.016008.
S. Xu, et al., J. Nucleon structure from basis light-front quantization. Physical Review D. 104 (2021) 094036, http://arxiv.org/abs/2109.12921 20 https://link.aps.org/doi/10.1103/PhysRevD.104 094036.
Goeke, K., Metz, A. and Schlegel, M. Parameterization of the quark-quark correlator of a spin-1/2 hadron. Physics Letters, Section B. 618 (2005) 90.
Meissner, S., Metz, A. and Goeke, K. Relations between generalized and transverse momentum dependent parton distributions. Physical Review D. 76 (2007) 1, http://arxiv.org/abs/hep-ph/0703176%20 http://dx.doi.org/10.1103/PhysRevD.76.034002.
Meissner, S., Metz, A. and Schlegel, M. Generalized parton correlation functions for a spin-1/2 hadron. Journal Of High Energy Physics. 2009 (2009) 1.
Bacchetta, A., Mantovani, L. and Pasquini, B. Electron in threedimensional momentum space. Physical Review D. 93 (2016) 1.
Brodsky, S., Hwang, D. and Schmidt, I. Final-state interactions and single-spin asymmetries in semi-inclusive deep inelastic scattering. International Journal Of Modern Physics A. 18 (2003) 1327.
Belitsky, A., Ji, X. and Yuan, F. Final state interactions and gauge invariant parton distributions. Nuclear Physics B. 656 (2003) 165,
Ji, X. and Yuan, F. Parton, distributions in light-cone gauge: Where are the final-state interactions?. Physics Letters, Section B. 543 (2002) 66, https://linkinghub.elsevier.com/retrieve/pii/S0370269302023845.
Maji, T. and Chakrabarti, D. Transverse structure of a proton in a light-front quark-diquark model. Physical Review D. 95 (2017) 074009. http://link.aps.org/doi/10.1103/PhysRevD.95.074009.
Bacchetta, A., Boglione, M., Henneman, A. and Mulders, P. Bounds on transverse momentum dependent distribution and fragmentation functions. Physical Review Letters. 85 (2000) 712-715.
Teckentrup, T., Metz, A. and Schweitzer, P. Lorentz invariance relations and wandzura-wilczek approximation. Modern Physics Letters A. 24 (2009) 2950-2959.
Hu, Zhi et al., Proton three-dimensional structures within the basis light-front quantization framework. In preparation (2022).
Aybat, S. and Rogers, T. TMD Parton Distribution and Fragmentation Functions with QCD Evolution. Phys. Rev. D. 83 (2011) 114042.
Bastami, S., Efremov, A., Schweitzer, P., Teryaev, O. and Zavada, P. Structure of the nucleon at leading and subleading twist in the covariant parton model. Phys. Rev. D. 103 (2021) 014024.
Anselmino, M., Boglione, M. and Melis, S. A Strategy towards the extraction of the Sivers function with TMD evolution. Phys. Rev. D. 86 (2012) 014028.
Kang, Z., Prokudin, A., Sun, P. and Yuan, F. Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution. Phys. Rev. D. 93 (2016) 014009 .
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Copyright (c) 2022 Zhi Hu, Siqi Xu, Chandon Mondal, Xingbo Zhao, James P. Vary (Author)
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