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

A bstract 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 δq ( x ). The corresponding factorized expressions are derived in terms o...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2021; no. 10; pp. 1 - 23
Main Authors Braun, Vladimir M., Ji, Yao, Vladimirov, Alexey
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2021
Springer Nature B.V
SpringerOpen
Subjects
Accuracy
Asymmetry
Classical and Quantum Gravitation
Distribution functions
Elementary Particles
Euclidean space
Factorization
High energy physics
NLO Computations
Partons
Physics
Physics and Astronomy
QCD Phenomenology
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
NLO Computations
QCD Phenomenology
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Summary:A bstract 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 δq ( 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2021)087