Weak neutral current axial form factor using $$ \left(\overline{\nu}\right)\nu $$-nucleon scattering and lattice QCD inputs
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Kentucky, Lexington, KY (United States)
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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Kentucky, Lexington, KY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- AC05-06OR23177; SC0013065; AC05-00OR22725; ACI-1053575
- OSTI ID:
- 1595282
- Alternate ID(s):
- OSTI ID: 1596003
- Report Number(s):
- JLAB-THY-18-2792; DOE/OR/23177-4525; arXiv:1809.03509; DOE-UKY-13065-1809.03509; TRN: US2102107
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2020, Issue 1; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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