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Title: Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs

Abstract

We present a determination of the neutral current weak axial charge $G$ $$^{Z}_{A}$$(0) = –0.654(3) stat(5) sys using the strange quark axial charge $G$ $$^{s}_{A}$$(0) calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region 0.24 ≲ Q 2 ≲ 0.71 GeV 2 to determine the neutral current weak axial form factor $G$ $$^{Z}_{A}$$(Q 2) in the range of 0 ≲ Q 2 ≤ 1 GeV 2. This yields a phenomenological value of $G$ $$^{Z}_{A}$$(0) = –0.687(89)stat(40)sys. The value of $G$ $$^{Z}_{A}$$(0) constrained by the lattice QCD calculation of $G$ $$^{s}_{A}$$(0), when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to $G$ $$^{Z}_{A}$$(Q 2) for Q 2 > 0. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near Q 2 = 0 and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of $G$ $$^{Z}_{A}$$(Q 2) obtained from the (anti)neutrino-nucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data.

Authors:
 [1];  [2];  [1]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Univ. of Kentucky, Lexington, KY (United States)
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1595282
Report Number(s):
JLAB-THY-18-2792; DOE/OR/23177-4525; arXiv:1809.03509
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
AC05-06OR23177; SC0013065; AC05-00OR22725; ACI-1053575
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Neutrino Physics

Citation Formats

Sufian, Raza Sabbir, Liu, Keh-Fei, and Richards, David G. Weak neutral current axial form factor using $ \left(\overline{\nu}\right)\nu $-nucleon scattering and lattice QCD inputs. United States: N. p., 2020. Web. doi:10.1007/JHEP01(2020)136.
Sufian, Raza Sabbir, Liu, Keh-Fei, & Richards, David G. Weak neutral current axial form factor using $ \left(\overline{\nu}\right)\nu $-nucleon scattering and lattice QCD inputs. United States. doi:10.1007/JHEP01(2020)136.
Sufian, Raza Sabbir, Liu, Keh-Fei, and Richards, David G. Tue . "Weak neutral current axial form factor using $ \left(\overline{\nu}\right)\nu $-nucleon scattering and lattice QCD inputs". United States. doi:10.1007/JHEP01(2020)136. https://www.osti.gov/servlets/purl/1595282.
@article{osti_1595282,
title = {Weak neutral current axial form factor using $ \left(\overline{\nu}\right)\nu $-nucleon scattering and lattice QCD inputs},
author = {Sufian, Raza Sabbir and Liu, Keh-Fei and Richards, David G.},
abstractNote = {We present a determination of the neutral current weak axial charge $G$ $^{Z}_{A}$(0) = –0.654(3)stat(5)sys using the strange quark axial charge $G$ $^{s}_{A}$(0) calculated with lattice QCD. We then perform a phenomenological analysis, where we combine the strange quark electromagnetic form factor from lattice QCD with (anti)neutrino-nucleon scattering differential cross section from MiniBooNE experiments in a momentum transfer region 0.24 ≲ Q2 ≲ 0.71 GeV2 to determine the neutral current weak axial form factor $G$ $^{Z}_{A}$(Q2) in the range of 0 ≲ Q2 ≤ 1 GeV2. This yields a phenomenological value of $G$ $^{Z}_{A}$(0) = –0.687(89)stat(40)sys. The value of $G$ $^{Z}_{A}$(0) constrained by the lattice QCD calculation of $G$ $^{s}_{A}$(0), when compared to its phenomenological determination, provides a significant improvement in precision and accuracy and can be used to provide a constraint on the fit to $G$ $^{Z}_{A}$(Q2) for Q2 > 0. This constrained fit leads to an unambiguous determination of (anti)neutrino-nucleon neutral current elastic scattering differential cross section near Q2 = 0 and can play an important role in numerically isolating nuclear effects in this region. We show a consistent description of $G$ $^{Z}_{A}$(Q2) obtained from the (anti)neutrino-nucleon scattering cross section data requires a nonzero contribution of the strange quark electromagnetic form factor. We demonstrate the robustness of our analysis by providing a post-diction of the BNL E734 experimental data.},
doi = {10.1007/JHEP01(2020)136},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2020,
place = {United States},
year = {2020},
month = {1}
}

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