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

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arxiv 1912.05778 v4 pith:D44ATE36 submitted 2019-12-12 hep-ph nucl-th

Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu This is my paper · ORCID
classification hep-phnucl-th
keywords calculationdistributionfeynmanintegralsnext-to-next-to-next-to-leadingorderpartonquark
verification ladder T0 review T1 audit T2 compute T3 formal

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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 non-standard 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.

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Cited by 7 Pith papers

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