Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of nonstandard Feynman integrals with rapidity divergence. We introduce a se...

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Bibliographic Details
Published inPhysical review letters Vol. 124; no. 9; p. 092001
Main Authors Luo, Ming-Xing, Yang, Tong-Zhi, Zhu, Hua Xing, Zhu, Yu Jiao
Format Journal Article
LanguageEnglish
Published United States 06.03.2020
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Summary:We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of nonstandard Feynman integrals with rapidity divergence. We introduce a set of generalized integration-by-parts equations, which allows an algorithmic evaluation of such integrals using the machinery of modern Feynman integral calculation.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.124.092001