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Title: Isovector charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD

Abstract

We present high statistics results for the isovector charges $${g}_{A}^{u{-}d}$$, $${g}_{S}^{u{-}d}$$ and $${g}_{T}^{u{-}d}$$ of the nucleon. Calculations were carried out on eleven ensembles of gauge configurations generated by the MILC collaboration using highly improved staggered quarks action with $2+1+1$ dynamical flavors. These ensembles span four lattice spacings $$a{\approx}0.06$$, 0.09, 0.12 and 0.15 fm and light-quark masses corresponding to $${M}_{{\pi}}{\approx}135$$, 225 and 315 MeV. Excited-state contamination in the nucleon three-point correlation functions is controlled by including up to three-states in the spectral decomposition. Remaining systematic uncertainties associated with lattice discretization, lattice volume and light-quark masses are controlled using a simultaneous fit in these three variables. Our final estimates of the isovector charges in the $$\overline{\mathrm{MS}}$$ scheme at 2 GeV are $${g}_{A}^{u{-}d}=1.218(25)(30)$$, $${g}_{S}^{u{-}d}=1.022(80)(60)$$ and $${g}_{T}^{u{-}d}=0.989(32)(10)$$. The first error includes statistical and all systematic uncertainties except that due to the extrapolation ansatz, which is given by the second error estimate. We provide a detailed comparison with the recent result of $${g}_{A}^{u{-}d}=1.271(13)$$ by the CalLat collaboration and argue that our error estimate is more realistic. Combining our estimate for $${g}_{S}^{u{-}d}$$ with the difference of light quark masses $$({m}_{d}{-}{m}_{u}{)}^{\mathrm{QCD}}=2.572(66)\text{ }\text{ }\mathrm{MeV}$$ given by the MILC/Fermilab/TUMQCD collaboration for $2+1+1$-flavor theory, we obtain $$({M}_{N}{-}{M}_{P}{)}^{\mathrm{QCD}}=2.63(27)\text{ }\text{ }\mathrm{MeV}$$. We update the low-energy constraints on novel scalar and tensor interactions, $${{\epsilon}}_{S}$$ and $${{\epsilon}}_{T}$$, at the TeV scale by combining our new estimates for $${g}_{S}^{u{-}d}$$ and $${g}_{T}^{u{-}d}$$ with precision low-energy nuclear experiments, and find them comparable to those from the ATLAS and the CMS experiments at the LHC.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1];  [3]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
  3. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. Dept. of Computational Mathematics, Science and Engineering
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Brookhaven National Lab. (BNL), Upton, NY (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); LANL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
Contributing Org.:
Precision Neutron Decay Matrix Elements (PNDME) Collaboration
OSTI Identifier:
1465231
Alternate Identifier(s):
OSTI ID: 1466649; OSTI ID: 1479939
Report Number(s):
BNL-208001-2018-JAAM; LA-UR-18-25335
Journal ID: ISSN 2470-0010
Grant/Contract Number:  
SC0012704; AC02-05CH11231; AC05-00OR22725; AC52-06NA25396; PHY 1653405
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice field theory; Atomic, Nuclear and Particle Physics

Citation Formats

Gupta, Rajan, Jang, Yong-Chull, Yoon, Boram, Lin, Huey-Wen, Cirigliano, Vincenzo, and Bhattacharya, Tanmoy. Isovector charges of the nucleon from 2+1+1 -flavor lattice QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.034503.
Gupta, Rajan, Jang, Yong-Chull, Yoon, Boram, Lin, Huey-Wen, Cirigliano, Vincenzo, & Bhattacharya, Tanmoy. Isovector charges of the nucleon from 2+1+1 -flavor lattice QCD. United States. doi:10.1103/PhysRevD.98.034503.
Gupta, Rajan, Jang, Yong-Chull, Yoon, Boram, Lin, Huey-Wen, Cirigliano, Vincenzo, and Bhattacharya, Tanmoy. Fri . "Isovector charges of the nucleon from 2+1+1 -flavor lattice QCD". United States. doi:10.1103/PhysRevD.98.034503.
@article{osti_1465231,
title = {Isovector charges of the nucleon from 2+1+1 -flavor lattice QCD},
author = {Gupta, Rajan and Jang, Yong-Chull and Yoon, Boram and Lin, Huey-Wen and Cirigliano, Vincenzo and Bhattacharya, Tanmoy},
abstractNote = {We present high statistics results for the isovector charges ${g}_{A}^{u{-}d}$, ${g}_{S}^{u{-}d}$ and ${g}_{T}^{u{-}d}$ of the nucleon. Calculations were carried out on eleven ensembles of gauge configurations generated by the MILC collaboration using highly improved staggered quarks action with $2+1+1$ dynamical flavors. These ensembles span four lattice spacings $a{\approx}0.06$, 0.09, 0.12 and 0.15 fm and light-quark masses corresponding to ${M}_{{\pi}}{\approx}135$, 225 and 315 MeV. Excited-state contamination in the nucleon three-point correlation functions is controlled by including up to three-states in the spectral decomposition. Remaining systematic uncertainties associated with lattice discretization, lattice volume and light-quark masses are controlled using a simultaneous fit in these three variables. Our final estimates of the isovector charges in the $\overline{\mathrm{MS}}$ scheme at 2 GeV are ${g}_{A}^{u{-}d}=1.218(25)(30)$, ${g}_{S}^{u{-}d}=1.022(80)(60)$ and ${g}_{T}^{u{-}d}=0.989(32)(10)$. The first error includes statistical and all systematic uncertainties except that due to the extrapolation ansatz, which is given by the second error estimate. We provide a detailed comparison with the recent result of ${g}_{A}^{u{-}d}=1.271(13)$ by the CalLat collaboration and argue that our error estimate is more realistic. Combining our estimate for ${g}_{S}^{u{-}d}$ with the difference of light quark masses $({m}_{d}{-}{m}_{u}{)}^{\mathrm{QCD}}=2.572(66)\text{ }\text{ }\mathrm{MeV}$ given by the MILC/Fermilab/TUMQCD collaboration for $2+1+1$-flavor theory, we obtain $({M}_{N}{-}{M}_{P}{)}^{\mathrm{QCD}}=2.63(27)\text{ }\text{ }\mathrm{MeV}$. We update the low-energy constraints on novel scalar and tensor interactions, ${{\epsilon}}_{S}$ and ${{\epsilon}}_{T}$, at the TeV scale by combining our new estimates for ${g}_{S}^{u{-}d}$ and ${g}_{T}^{u{-}d}$ with precision low-energy nuclear experiments, and find them comparable to those from the ATLAS and the CMS experiments at the LHC.},
doi = {10.1103/PhysRevD.98.034503},
journal = {Physical Review D},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.034503

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Cited by: 14 works
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