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

Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong

doi:10.1007/JHEP03(2020)099

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

Journal Article · Tue Mar 17 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2020)099· OSTI ID:1614987

^[1]; Stewart, Iain W. ^[1]; Zhao, Yong ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)

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.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0012704; SC0011090

OSTI ID:: 1614987

Alternate ID(s):: OSTI ID: 1635608

Report Number(s):: BNL-213837-2020-JAAM; TRN: US2106330

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 30 works

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