Nonperturbatively renormalized nucleon gluon momentum fraction in the continuum limit of Nf=2+1+1 lattice QCD

Fan, Zhouyou; Lin, Huey-Wen; Zeilbeck, Matthew

doi:10.1103/physrevd.107.034505

Nonperturbatively renormalized nucleon gluon momentum fraction in the continuum limit of Nf =2+1+1 lattice QCD

Journal Article · Tue Feb 14 00:00:00 EST 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.107.034505· OSTI ID:2423029

Fan, Zhouyou ^[1]; ^[1]; ^[1]

Michigan State Univ., East Lansing, MI (United States)

We present the nonperturbatively renormalized nucleon gluon momentum fraction using ensembles with 2+1+1 flavors of highly improved staggered quarks (HISQ), generated by the MILC Collaboration. The calculation is done using clover fermions for the valence action with three pion masses, 220, 310, and 690 MeV, and three lattice spacings, 0.09, 0.12, and 0.15 fm. The renormalization is done using RI/MOM nonperturbative renormalization and using cluster-decomposition error reduction (CDER) to enhance the signal-to-noise ratio of the renormalization constant. We find the CDER technique is particularly important to improve the signal at the finer lattice ensembles where the lattice volume is larger. We extrapolate the gluon momentum fraction to the continuum-physical limit and obtain $$\langle{x}\rangle$$_g = 0.502⁢(53)_stat+NPR⁢(50)_mixing in the $$\overline{MS}$$ scheme at 2 GeV, where first error includes the statistical error and uncertainties in nonperturbative renormalization, while the latter systematic error accounts for ignoring quark mixing. Our gluon momentum fraction is consistent with other recent lattice-QCD results at physical pion mass.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2423029

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 107; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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