Nucleon axial coupling from Lattice QCD


Cheng Chang, Chia, Nicholson, Amy, Rinaldi, Enrico, Berkowitz, Evan, Garron, Nicolas ORCID: 0000-0002-4428-3984, Brantley, David, Monge-Camacho, Henry, Monahan, Chris, Bouchard, Chris, Clark, MA et al (show 5 more authors) (2018) Nucleon axial coupling from Lattice QCD. .

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Abstract

<jats:p>We present state-of-the-art results from a lattice QCD calculation of the nucleon axial coupling, <jats:italic>g<jats:sub>A</jats:sub></jats:italic>, using Möbius Domain-Wall fermions solved on the dynamical <jats:italic>N<jats:sub>f</jats:sub></jats:italic> = 2 + 1 + 1 HISQ ensembles after they are smeared using the gradient-flow algorithm. Relevant three-point correlation functions are calculated using a method inspired by the Feynman-Hellmann theorem, and demonstrate significant improvement in signal for fixed stochastic samples. The calculation is performed at five pion masses of m<jats:sub>π</jats:sub> ~ {400, 350, 310, 220, 130} MeV, three lattice spacings of <jats:italic>a</jats:italic> ~ {0.15, 0.12, 0.09} fm, and we do a dedicated volume study with <jats:italic>m<jats:sub>π</jats:sub>L</jats:italic> ~ {3.22, 4.29, 5.36}. Control over all relevant sources of systematic uncertainty are demonstrated and quantified. We achieve a preliminary value of <jats:italic>g<jats:sub>A</jats:sub></jats:italic> = 1.285(17), with a relative uncertainty of 1.33%.</jats:p>

Item Type: Conference or Workshop Item (Unspecified)
Depositing User: Symplectic Admin
Date Deposited: 07 Aug 2018 08:41
Last Modified: 19 Jan 2023 01:29
DOI: 10.1051/epjconf/201817501008
Open Access URL: https://doi.org/10.1051/epjconf/201817501008
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3024648
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