Title: Moments of nucleon isovector structure functions in 2+1+1-flavor QCD

Abstract

We present results on the isovector momentum fraction, $$\langle x \rangle_{u–d}$$ , helicity moment, $$\langle x \rangle_{Δ u–Δd}$$ , and the transversity moment, $$\langle x \rangle_{δu–δd}$$, of the nucleon obtained using nine ensembles of gauge configurations generated by the MILC Collaboration using 2 + 1 + 1 -flavors of dynamical highly improved staggered quarks. The correlation functions are calculated using the Wilson-Clover action, and the renormalization of the three operators is carried out nonperturbatively on the lattice in the RI'–MOM scheme. The data have been collected at lattice spacings a ≈ 0.15 , 0.12, 0.09, and 0.06 fm and $$M_π$$ ≈ 310 , 220, and 135 MeV, which are used to obtain the physical values using a simultaneous chiral-continuum-finite-volume fit. The final results, in the $$\overline{\text{MS}}$$ scheme at 2 GeV, are $$\langle$$ x $$\rangle$$ u – d = 0.173 ( 14 ) ( 07 ) , $$\langle x \rangle_{Δu–Δd}$$ = 0.213 ( 15 ) ( 22 ) , and $$\langle x \rangle_{δu–δd}$$ = 0.208 ( 19 ) ( 24 ) , where the first error is the overall analysis uncertainty and the second is an additional systematic uncertainty due to possible residual excited-state contributions. These results are consistent with other recent lattice calculations and phenomenological global fit values.

Authors:

Mondal, Santanu ;

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Gupta, Rajan ;

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Park, Sungwoo ;

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Yoon, Boram ;

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Bhattacharya, Tanmoy ;

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Lin, Huey-Wen ;

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Precision Neutron Decay Matrix Elements ^[1]

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+ Show Author Affiliations

1. (PNDME) Collaboration

Publication Date:

2020-09-22

Research Org.:

Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Org.:

USQCD Collaboration; USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); Research Corporation for Science Advancement

OSTI Identifier:

1664543

Alternate Identifier(s):

OSTI ID: 1768549

Report Number(s):

LA-UR-20-23801
Journal ID: ISSN 2470-0010; PRVDAQ; 054512

Grant/Contract Number:  

89233218CNA000001; AC02-05CH11231; AC05-00OR22725; AC52-06NA25396; PHY 1653405

Resource Type:

Published Article

Journal Name:

Physical Review D

Additional Journal Information:

Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; atomic, nuclear and particle physics; nucleon momentum distribution, helicity, transversity, lattice QCD