Axial-vector form factors of the nucleon from lattice QCD

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

doi:10.1103/PhysRevD.96.114503

Title: Axial-vector form factors of the nucleon from lattice QCD

Journal Article · 04 December 2017 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.96.114503 · OSTI ID:1415378

^[1]; Jang, Yong-Chull ^[1]; Lin, Huey-Wen ^[2];

^[1];

^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Michigan State Univ., East Lansing, MI (United States)

In this paper, we present results for the form factors of the isovector axial vector current in the nucleon state using large scale simulations of lattice QCD. The calculations were done using eight ensembles of gauge configurations generated by the MILC collaboration using the HISQ action with 2 + 1 + 1 dynamical flavors. These ensembles span three lattice spacings a ≈ 0.06 , 0.09, and 0.12 fm and light-quark masses corresponding to the pion masses M_π ≈ 135, 225, and 310 MeV. High-statistics estimates allow us to quantify systematic uncertainties in the extraction of G_A (Q²) and the induced pseudoscalar form factor G_P(Q²) . We perform a simultaneous extrapolation in the lattice spacing, lattice volume and light-quark masses of the axial charge radius r_A data to obtain physical estimates. Using the dipole ansatz to fit the Q² behavior we obtain r_A |_dipole = 0.49(3) fm , which corresponds to M_A = 1.39(9) GeV , and is consistent with M_A = 1.35(17) GeV obtained by the miniBooNE collaboration. The estimate obtained using the z -expansion is r_A |_{z - expansion} = 0.46(6) fm, and the combined result is r_A | combined = 0.48(4) fm. Analysis of the induced pseudoscalar form factor G_P (Q₂) yields low estimates for g*_P and g_πNN compared to their phenomenological values. To understand these, we analyze the partially conserved axial current (PCAC) relation by also calculating the pseudoscalar form factor. Lastly, we find that these low values are due to large deviations in the PCAC relation between the three form factors, and in the pion-pole dominance hypothesis.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program

Contributing Organization:: Precision Neutron Decay Matrix Elements (PNDME) Collaboration

Grant/Contract Number:: AC52-06NA25396; AC02-05CH11231; KA-1401020

OSTI ID:: 1415378

Alternate ID(s):: OSTI ID: 1411105

Report Number(s):: LA-UR-17-23678; PRVDAQ; TRN: US1800780

Journal Information:: Physical Review D, Vol. 96, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 73 works

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