1. Unpolarized quark and gluon TMD PDFs and FFs at N3LO
- Author
-
Yu Jiao Zhu, Tong-Zhi Yang, Hua Xing Zhu, Mingxing Luo, University of Zurich, and Zhu, Hua Xing
- Subjects
Quark ,Nuclear and High Energy Physics ,Particle physics ,Nuclear Theory ,530 Physics ,FOS: Physical sciences ,Parton ,10192 Physics Institute ,QC770-798 ,Nuclear Theory (nucl-th) ,symbols.namesake ,High Energy Physics - Phenomenology (hep-ph) ,Nuclear and particle physics. Atomic energy. Radioactivity ,Perturbative QCD ,Feynman diagram ,3106 Nuclear and High Energy Physics ,Resummation ,Quantum chromodynamics ,Physics ,Analytic continuation ,High Energy Physics::Phenomenology ,Gluon ,High Energy Physics - Phenomenology ,symbols - Abstract
In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through Next-to-Next-to-Next-to-Leading Order (N$^3$LO) in QCD. The N$^3$LO TMD PDFs are calculated by solving a system of differential equation of Feynman and phase space integrals. The TMD FFs are obtained by analytic continuation from space-like quantities to time-like quantities, taking into account the probability interpretation of TMD PDFs and FFs properly. The coefficient functions for TMD FFs exhibit double logarithmic enhancement at small momentum fraction $z$. We resum such logarithmic terms to the third order in the expansion of $\alpha_s$. Our results constitute important ingredients for precision determination of TMD PDFs and FFs in current and future experiments., Comment: references added
- Published
- 2021