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arXiv · 1912.05778

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

Ming-xing Luo·Tong-Zhi Yang·Hua Xing Zhu·Yu Jiao Zhu
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Abstract

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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Ming-xing Luo, Tong-Zhi Yang, Hua Xing Zhu, Yu Jiao Zhu. 2020-06-11. Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order. https://doi.org/10.1103/physrevlett.124.092001

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