Transverse-momentum-dependent factorization for lattice observables

Vladimirov, Alexey A. and Schaefer, Andreas (2020) Transverse-momentum-dependent factorization for lattice observables. PHYSICAL REVIEW D, 101 (7): 074517. ISSN 2470-0010, 2470-0029

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Abstract

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding coefficient function and anomalous dimensions. The factorized expression is built from the physical TMD distribution, and a nonperturbative lattice related factor. We demonstrate that lattice related functions cancel in appropriately constructed ratios. These ratios could be used to explore various properties of TMD distributions, for instance, the nonperturbative evolution kernel. A discussion of such ratios and the related continuum properties of TMDs is presented.

Item Type: Article
Uncontrolled Keywords: EFFECTIVE FIELD-THEORY;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Mar 2021 05:38
Last Modified: 26 Mar 2021 05:38
URI: https://pred.uni-regensburg.de/id/eprint/44694

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