Renormalization and matching for the Collins-Soper kernel from lattice QCD

被引：44
作者：
Ebert, Markus A. [1 ]
Stewart, Iain W. [1 ]
Zhao, Yong [1 ,2 ]
机构：
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] Brookhaven Natl Lab, Dept Phys, Bldg 510A, Upton, NY 11973 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2020年 / 2020卷 / 03期
关键词：
Lattice field theory simulation; QCD Phenomenology; 3-LOOP SPLITTING FUNCTIONS; TO-BACK JETS; TRANSVERSE-MOMENTUM; CROSS-SECTION; NONPERTURBATIVE RENORMALIZATION; COLLISIONS;
D O I：
10.1007/JHEP03(2020)099
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
The Collins-Soper kernel, which governs the energy evolution of transverse- momentum dependent parton distribution functions (TMDPDFs), is required to accurately predict Drell-Yan like processes at small transverse momentum, and is a key ingredient for extracting TMDPDFs from experiment. Earlier we proposed a method to calculate this kernel from ratios of the so-called quasi-TMDPDFs determined with lattice QCD, which are defined as hadronic matrix elements of staple-shaped Euclidean Wilson line operators. Here we provide the one-loop renormalization of these operators in a regularization-independent momentum subtraction (RI '/MOM) scheme, as well as the conversion factor from the RI '/MOM-renormalized quasi-TMDPDF to the MS over bar scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.
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页数：40
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