Nucleon isovector axial form factors

Journal Article · Thu Jan 04 23:00:00 EST 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.014503· OSTI ID:2278895

Jang, Yong-Chull; Gupta, Rajan; Bhattacharya, Tanmoy; Yoon, Boram; Lin, Huey-Wen

We present results for the isovector axial vector form factors obtained using thirteen $2+1+1$ -flavor highly improved staggered quark (HISQ) ensembles generated by the MILC collaboration. The calculation of nucleon two- and three-point correlation functions has been done using Wilson-clover fermions. In the analysis of these data, we quantify the sensitivity of the results to strategies used for removing excited state contamination and invoke the partially conserved axial current relation between the form factors to choose between them. Our data driven analysis includes removing contributions from multihadron $N\pi$ states that make significant contributions. Our final results are $g_A=1.292\left(53{)}_{\mathrm{stat}}\right(24{)}_{\mathrm{sys}}$ for the axial charge; $g_S=1.085\left(50{)}_{\mathrm{stat}}\right(103{)}_{\mathrm{sys}}$ and $g_T=0.991\left(21{)}_{\mathrm{stat}}\right(10{)}_{\mathrm{sys}}$ for the scalar and tensor charges; $⟨r_A^2⟩=0.439\left(56{)}_{\mathrm{stat}}\right(34{)}_{\mathrm{sys}}{\mathrm{fm}}^2$ for the mean squared axial charge radius, $g_P^{*}=9.03\left(47{)}_{\mathrm{stat}}\right(42{)}_{\mathrm{sys}}$ for the induced pseudoscalar charge; and $g_{\pi NN}=14.14\left(81{)}_{\mathrm{stat}}\right(85{)}_{\mathrm{sys}}$ for the pion-nucleon coupling. We also provide a parametrization of the axial form factor $G_A\left(Q^2\right)$ over the range $0\le Q^2\le 1{\mathrm{GeV}}^2$ for use in phenomenology and a comparison with other lattice determinations. We find that the various lattice data agree within 10% but are significantly different from the extraction of $G_A\left(Q^2\right)$ from the $\nu$ -deuterium scattering data.

Published by the American Physical Society 2024

• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: AC02-05CH11231; AC05-00OR22725; AC52-06NA25396
• OSTI ID: 2278895
• Alternate ID(s): OSTI ID: 2426788
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English