Abstract
We study the factorization of quasi generalized quark distributions with twist-2 generalized parton distributions. We use an approach which is different than that used in literature. Using the approach we derive the factorization relations of all quasi generalized quark distributions at one-loop. The contributions from twist-2 generalized gluon distributions are included. Our results apply not only to the quasi distributions of a spin-1/2 hadron but also to those of a hadron with any spin.
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X. Ji, Parton physics on a Euclidean lattice, Phys. Rev. Lett. 110 (2013) 262002 [arXiv:1305.1539] [INSPIRE].
X. Ji, Parton physics from large-momentum effective field theory, Sci. China Phys. Mech. Astron. 57 (2014) 1407 [arXiv:1404.6680] [INSPIRE].
X. Ji, Y.-S. Liu, Y. Liu, J.-H. Zhang and Y. Zhao, Large-momentum effective theory, Rev. Mod. Phys. 93 (2021) 035005 [arXiv:2004.03543] [INSPIRE].
D. Müller, D. Robaschik, B. Geyer, F.M. Dittes and J. Hořejši, Wave functions, evolution equations and evolution kernels from light ray operators of QCD, Fortsch. Phys. 42 (1994) 101 [hep-ph/9812448] [INSPIRE].
X.-D. Ji, Gauge-invariant decomposition of nucleon spin, Phys. Rev. Lett. 78 (1997) 610 [hep-ph/9603249] [INSPIRE].
X.-D. Ji, Deeply virtual Compton scattering, Phys. Rev. D 55 (1997) 7114 [hep-ph/9609381] [INSPIRE].
D. Mueller, Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates, Few Body Syst. 55 (2014) 317 [arXiv:1404.2817].
M. Diehl, Generalized parton distributions, Phys. Rept. 388 (2003) 41 [hep-ph/0307382] [INSPIRE].
A.V. Belitsky and A.V. Radyushkin, Unraveling hadron structure with generalized parton distributions, Phys. Rept. 418 (2005) 1 [hep-ph/0504030] [INSPIRE].
J.-W. Chen, H.-W. Lin and J.-H. Zhang, Pion generalized parton distribution from lattice QCD, Nucl. Phys. B 952 (2020) 114940 [arXiv:1904.12376] [INSPIRE].
C. Alexandrou et al., Unpolarized and helicity generalized parton distributions of the proton within lattice QCD, Phys. Rev. Lett. 125 (2020) 262001 [arXiv:2008.10573] [INSPIRE].
H.-W. Lin, Nucleon tomography and generalized parton distribution at physical pion mass from lattice QCD, Phys. Rev. Lett. 127 (2021) 182001 [arXiv:2008.12474] [INSPIRE].
H.-W. Lin, Nucleon helicity generalized parton distribution at physical pion mass from lattice QCD, Phys. Lett. B 824 (2022) 136821 [arXiv:2112.07519] [INSPIRE].
X. Ji, A. Schäfer, X. Xiong and J.-H. Zhang, One-loop matching for generalized parton distributions, Phys. Rev. D 92 (2015) 014039 [arXiv:1506.00248] [INSPIRE].
X. Xiong and J.-H. Zhang, One-loop matching for transversity generalized parton distribution, Phys. Rev. D 92 (2015) 054037 [arXiv:1509.08016] [INSPIRE].
Y.-S. Liu et al., Matching generalized parton quasidistributions in the RI/MOM scheme, Phys. Rev. D 100 (2019) 034006 [arXiv:1902.00307] [INSPIRE].
R.K. Ellis, W. Furmanski and R. Petronzio, Power corrections to the parton model in QCD, Nucl. Phys. B 207 (1982) 1 [INSPIRE].
R.K. Ellis, W. Furmanski and R. Petronzio, Unraveling higher twists, Nucl. Phys. B 212 (1983) 29 [INSPIRE].
J.-W. Qiu, Twist four contributions to the parton structure functions, Phys. Rev. D 42 (1990) 30 [INSPIRE].
X.-N. Xiong, X.-D. Ji, J.-H. Zhang and Y. Zhao, One-loop matching for parton distributions: nonsinglet case, Phys. Rev. D 90 (2014) 014051 [arXiv:1310.7471] [INSPIRE].
Y.-Q. Ma and J.-W. Qiu, Extracting parton distribution functions from lattice QCD calculations, Phys. Rev. D 98 (2018) 074021 [arXiv:1404.6860] [INSPIRE].
W. Wang, S. Zhao and R. Zhu, Gluon quasidistribution function at one loop, Eur. Phys. J. C 78 (2018) 147 [arXiv:1708.02458] [INSPIRE].
I.W. Stewart and Y. Zhao, Matching the quasiparton distribution in a momentum subtraction scheme, Phys. Rev. D 97 (2018) 054512 [arXiv:1709.04933] [INSPIRE].
T. Izubuchi, X. Ji, L. Jin, I.W. Stewart and Y. Zhao, Factorization theorem relating Euclidean and light-cone parton distributions, Phys. Rev. D 98 (2018) 056004 [arXiv:1801.03917] [INSPIRE].
W. Wang, J.-H. Zhang, S. Zhao and R. Zhu, Complete matching for quasidistribution functions in large momentum effective theory, Phys. Rev. D 100 (2019) 074509 [arXiv:1904.00978] [INSPIRE].
L.-B. Chen, W. Wang and R. Zhu, Quasi parton distribution functions at NNLO: flavor non-diagonal quark contributions, Phys. Rev. D 102 (2020) 011503 [arXiv:2005.13757] [INSPIRE].
Z.-Y. Li, Y.-Q. Ma and J.-W. Qiu, Extraction of next-to-next-to-leading-order parton distribution functions from lattice QCD calculations, Phys. Rev. Lett. 126 (2021) 072001 [arXiv:2006.12370] [INSPIRE].
A.V. Radyushkin, Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions, Phys. Rev. D 96 (2017) 034025 [arXiv:1705.01488] [INSPIRE].
A.V. Radyushkin, Generalized parton distributions and pseudodistributions, Phys. Rev. D 100 (2019) 116011 [arXiv:1909.08474] [INSPIRE].
T. Ishikawa, Y.-Q. Ma, J.-W. Qiu and S. Yoshida, Renormalizability of quasiparton distribution functions, Phys. Rev. D 96 (2017) 094019 [arXiv:1707.03107] [INSPIRE].
N.G. Stefanis, Gauge invariant quark two point Green’s function through connector insertion to O(αs), Nuovo Cim. A 83 (1984) 205 [INSPIRE].
N.S. Craigie and H. Dorn, On the renormalization and short distance properties of hadronic operators in QCD, Nucl. Phys. B 185 (1981) 204 [INSPIRE].
T. Braunschweig, B. Geyer and D. Robaschik, Anomalous dimensions of flavor singlet light cone operators, Annalen Phys. 44 (1987) 403 [INSPIRE].
I.I. Balitsky and V.M. Braun, Evolution equations for QCD string operators, Nucl. Phys. B 311 (1989) 541 [INSPIRE].
A.V. Radyushkin, Nonforward parton distributions, Phys. Rev. D 56 (1997) 5524 [hep-ph/9704207] [INSPIRE].
J. Blumlein, B. Geyer and D. Robaschik, On the evolution kernels of twist-2 light ray operators for unpolarized and polarized deep inelastic scattering, Phys. Lett. B 406 (1997) 161 [hep-ph/9705264] [INSPIRE].
X.-D. Ji, J.-P. Ma and F. Yuan, QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum, Phys. Rev. D 71 (2005) 034005 [hep-ph/0404183] [INSPIRE].
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Ma, J.P., Pang, Z.Y. & Zhang, G.P. QCD factorization of quasi generalized quark distributions. J. High Energ. Phys. 2022, 130 (2022). https://doi.org/10.1007/JHEP08(2022)130
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DOI: https://doi.org/10.1007/JHEP08(2022)130