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arXiv · 1911.03840

Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory

Xiangdong Ji·Yizhuang Liu·Yu-Sheng Liu
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Abstract

We show that transverse-momentum-dependent parton distribution functions (TMDPDFs), important non-perturbative quantities for describing the properties of hadrons in high-energy scattering processes such as Drell-Yan and semi-inclusive deep-inelastic scattering with observed small transverse momentum, can be obtained from Euclidean QCD calculations in the framework of large-momentum effective theory (LaMET). We present a LaMET factorization of the Euclidean quasi-TMDPDFs in terms of the physical TMDPDFs and off-light-cone soft function at leading order in $1/P^z$ expansion, with the perturbative matching coefficient satisfying a renormalization group equation. We also discuss the implementation in lattice QCD with finite-length gauge links as well as the rapidity-regularization-independent factorization for Drell-Yan cross section.

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Xiangdong Ji, Yizhuang Liu, Yu-Sheng Liu. 2020-11-09. Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory. https://doi.org/10.1016/j.physletb.2020.135946

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