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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:
ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo;  [1]
  1. (PNDME) Collaboration
Publication Date:
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

Citation Formats

Mondal, Santanu, Gupta, Rajan, Park, Sungwoo, Yoon, Boram, Bhattacharya, Tanmoy, Lin, Huey-Wen, and Precision Neutron Decay Matrix Elements. Moments of nucleon isovector structure functions in 2+1+1-flavor QCD. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevD.102.054512.
Mondal, Santanu, Gupta, Rajan, Park, Sungwoo, Yoon, Boram, Bhattacharya, Tanmoy, Lin, Huey-Wen, & Precision Neutron Decay Matrix Elements. Moments of nucleon isovector structure functions in 2+1+1-flavor QCD. United States. https://doi.org/10.1103/PhysRevD.102.054512
Mondal, Santanu, Gupta, Rajan, Park, Sungwoo, Yoon, Boram, Bhattacharya, Tanmoy, Lin, Huey-Wen, and Precision Neutron Decay Matrix Elements. Tue . "Moments of nucleon isovector structure functions in 2+1+1-flavor QCD". United States. https://doi.org/10.1103/PhysRevD.102.054512.
@article{osti_1664543,
title = {Moments of nucleon isovector structure functions in 2+1+1-flavor QCD},
author = {Mondal, Santanu and Gupta, Rajan and Park, Sungwoo and Yoon, Boram and Bhattacharya, Tanmoy and Lin, Huey-Wen and Precision Neutron Decay Matrix Elements},
abstractNote = {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.},
doi = {10.1103/PhysRevD.102.054512},
journal = {Physical Review D},
number = 5,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.102.054512

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