31 July 2023 to 4 August 2023
America/Chicago timezone

Renormalization of transverse-momentum-dependent parton distribution on the lattice

3 Aug 2023, 17:00
20m
One West (WH1W)

One West

WH1W

Speaker

Kuan Zhang

Description

To calculate the transverse-momentum-dependent parton distribution functions (TMDPDFs) from lattice QCD, an important goal yet to be realized, it is crucial to establish a viable nonperturbative renormalization approach for linear divergences in the corresponding Euclidean quasi-TMDPDF correlators in large-momentum effective theory. We perform a first systematic study of the renormalization property of the quasi-TMDPDFs by calculating the relevant matrix elements in a pion state at 5 lattice spacings ranging from 0.03 fm to 0.12 fm. We demonstrate that the square root of the Wilson loop combined with the short distance hadron matrix element provides a successful method to remove all ultraviolet divergences of the quasi-TMD operator, and thus provide the necessary justification to perform a continuum limit calculation of TMDPDFs. In contrast, the popular RI/MOM renormalization scheme fails to eliminate all linear divergences.

Topical area Structure of Hadrons and Nuclei

Primary authors

Kuan Zhang Xiangdong Ji (U. Maryland/Shanghai Jiao Tong University) Yibo Yang (Michigan State University) Jianhui Zhang (University of Regensburg) Ms Fei Yao

Presentation materials