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2021

QCD factorization for chiral-odd parton quasi- and pseudo-distributions

Braun, Vladimir M., Ji, Yao, Vladimirov, Alexey

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We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$.

The corresponding factorized expressions are derived in terms of the twist-two and twist-three collinear distributions to one-loop accuracy.
The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for quasi- and pseudo-distributions.
We demonstrate that the twist-two part of the $h_L$ quasi(pseudo)-distribution can be separated from the twist-three part by virtue of an exact Jaffe-Ji-like relation.

QCD factorization for chiral-odd parton quasi- and pseudo-distributions · Around

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I. Scimemi, A. Tarasov and A. Vladimirov, Collinear matching for Sivers function at next-to-leading order , JHEP 05
Original
1901
Earlier work this paper cites.
B. Joó, J. Karpie, K. Orginos, A. Radyushkin, D. Richards and S. Zafeiropoulos, Parton Distribution Functions from Ioffe time pseudo-distributions , JHEP 12
Original
1908
Earlier work this paper cites.
B. Ioffe, Space-time picture of photon and neutrino scattering and electroproduction cross-section asymptotics , Phys. Lett. B 30
1969
Earlier work this paper cites.
S. A. Anikin and O. I. Zavialov, Short-Distance and Light-Cone Expansions for Products of Currents , Annals Phys. 116
1978
Earlier work this paper cites.
V. Dotsenko and S. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory , Nucl. Phys. B 169
1980
Earlier work this paper cites.
L. Abbott, The Background Field Method Beyond One Loop , Nucl. Phys. B 185
1981
Earlier work this paper cites.
L. Abbott, Introduction to the Background Field Method , Acta Phys. Polon. B 13
1982
Earlier work this paper cites.
R. K. Ellis, W. Furmanski and R. Petronzio, Unraveling Higher Twists , Nucl. Phys. B 212
1983
Earlier work this paper cites.
R. Jaffe, Parton Distribution Functions for Twist Four , Nucl. Phys. B 229
1983
Earlier work this paper cites.
M. A. Shifman and M. B. Voloshin, On Production of d and D* Mesons in B Meson Decays , Sov. J. Nucl. Phys. 47
1988
Earlier work this paper cites.
I. Balitsky and V. M. Braun, Evolution Equations for QCD String Operators , Nucl. Phys. B 311
1989
Earlier work this paper cites.
I. I. Balitsky, V. M. Braun and A. V. Kolesnichenko, Radiative Decay Σ + → p γ \Sigma^{+}\to p\gamma in Quantum Chromodynamics , Nucl. Phys. B 312
1989
Earlier work this paper cites.
V. M. Braun and I. E. Filyanov, Conformal Invariance and Pion Wave Functions of Nonleading Twist , Z. Phys. C 48
1990
Earlier work this paper cites.
R. L. Jaffe and X.-D. Ji, Chiral odd parton distributions and polarized Drell-Yan , Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
V. Braun, P. Gornicki and L. Mankiewicz, Ioffe - time distributions instead of parton momentum distributions in description of deep inelastic scattering , Phys. Rev. D 51
1995
Earlier work this paper cites.
U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli and L. Silvestrini, Model independent determination of the light cone wave functions for exclusive processes , Phys. Lett. B 441
1998
Earlier work this paper cites.
D. Boer and P. J. Mulders, Time reversal odd distribution functions in leptoproduction , Phys. Rev. D 57
1998
Earlier work this paper cites.

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