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Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory

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arxiv 2005.14572 v2 pith:Q2ZSQ7WR submitted 2020-05-29 hep-lat hep-ph

Qi-An Zhang , Jun Hua , Yikai Huo , Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu , Maximilian Schlemmer , Andreas Schäfer
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Peng Sun Wei Wang Yi-Bo Yang (Lattice Parton Collaboration)
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classification hep-lathep-ph
keywords functionsoftlarge-momentumeffectiveevolutionfactorizationpartquasi-tmd
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The transverse-momentum-dependent (TMD) soft function is a key ingredient in QCD factorization of Drell-Yan and other processes with relatively small transverse momentum. We present a lattice QCD study of this function at moderately large rapidity on a 2+1 flavor CLS dynamic ensemble with $a=0.098$ fm. We extract the rapidity-independent (or intrinsic) part of the soft function through a large-momentum-transfer pseudo-scalar meson form factor and its quasi-TMD wave function using leading-order factorization in large-momentum effective theory. We also investigate the rapidity-dependent part of the soft function---the Collins-Soper evolution kernel---based on the large-momentum evolution of the quasi-TMD wave function.

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