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

Abstract

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 \( \overline{\mathrm{MS}} \) scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.

Authors:
ORCiD logo [1];  [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1614987
Alternate Identifier(s):
OSTI ID: 1635608
Report Number(s):
BNL-213837-2020-JAAM
Journal ID: ISSN 1029-8479; TRN: US2106330
Grant/Contract Number:  
SC0012704; SC0011090
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; lattice field theory simulation; QCD phenomenology; parton; distribution function; quantum chromodynamics; lattice; renormalization; transverse momentum dependence; correlation function; transverse momentum; Drell-Yan process; Wilson loop; Euclidean

Citation Formats

Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Renormalization and matching for the Collins-Soper kernel from lattice QCD. United States: N. p., 2020. Web. doi:10.1007/JHEP03(2020)099.
Ebert, Markus A., Stewart, Iain W., & Zhao, Yong. Renormalization and matching for the Collins-Soper kernel from lattice QCD. United States. https://doi.org/10.1007/JHEP03(2020)099
Ebert, Markus A., Stewart, Iain W., and Zhao, Yong. Tue . "Renormalization and matching for the Collins-Soper kernel from lattice QCD". United States. https://doi.org/10.1007/JHEP03(2020)099. https://www.osti.gov/servlets/purl/1614987.
@article{osti_1614987,
title = {Renormalization and matching for the Collins-Soper kernel from lattice QCD},
author = {Ebert, Markus A. and Stewart, Iain W. and Zhao, Yong},
abstractNote = {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 \( \overline{\mathrm{MS}} \) scheme. We also propose a procedure for calculating the Collins-Soper kernel directly from position space correlators, which simplifies the lattice determination.},
doi = {10.1007/JHEP03(2020)099},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2020,
place = {United States},
year = {2020},
month = {3}
}

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