Renormalizability of quasiparton distribution functions

Ishikawa, Tomomi; Ma, Yan-Qing; Qiu, Jian-Wei; Yoshida, Shinsuke

doi:10.1103/PhysRevD.96.094019

Title: Renormalizability of quasiparton distribution functions

Journal Article · Tue Nov 21 00:00:00 EST 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.094019· OSTI ID:1410289

Ishikawa, Tomomi ^[1]; Ma, Yan-Qing ^[2]; Qiu, Jian-Wei ^[3]; Yoshida, Shinsuke ^[4]

Shanghai Jiao Tong Univ. (China). T. D. Lee Inst.
Peking Univ., Beijing (China). School of Physics, State Key Lab. of Nuclear Physics and Technology; Peking Univ., Beijing (China). Center for High Energy physics; Collaborative Innovation Center of Quantum Matter, Beijing (China)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

Quasi-parton distribution functions have received a lot of attentions in both perturbative QCD and lattice QCD communities in recent years because they not only carry good information on the parton distribution functions, but also could be evaluated by lattice QCD simulations. However, unlike the parton distribution functions, the quasi-parton distribution functions have perturbative ultraviolet power divergences because they are not defined by twist-2 operators. Here in this article, we identify all sources of ultraviolet divergences for the quasi-parton distribution functions in coordinate-space, and demonstrated that power divergences, as well as all logarithmic divergences can be renormalized multiplicatively to all orders in QCD perturbation theory.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

Grant/Contract Number:: SC0012704; AC05-06OR23177; AC52-06NA25396; 16DZ2260200; R2411

OSTI ID:: 1410289

Alternate ID(s):: OSTI ID: 1409708

Report Number(s):: JLAB-THY-17-2517; DOE/OR/-23177-4179; arXiv:1707.03107; PRVDAQ

Journal Information:: Physical Review D, Vol. 96, Issue 9; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 98 works

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