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Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
Ming-Xing Luo1, Tong-Zhi Yang1, Hua Xing Zhu1
1Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China.
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 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.
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