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

Editor: 周婷     Time: 2020-03-09      Number of visits: 11

Ming-xing Luo, Tong-Zhi Yang, Hua Xing Zhu, and Yu Jiao Zhu

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.

Phys. Rev. Lett. 124, 092001 – Published 5 March 2020

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