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Type: Journal article
Title: Nucleon axial charge and pion decay constant from two-flavor lattice QCD
Author: Horsley, R.
Nakamura, Y.
Nobile, A.
Rakow, P.
Schierholz, G.
Zanotti, J.
Citation: Physics Letters Section B: Nuclear, Elementary Particle and High-Energy Physics, 2014; 732:41-48
Publisher: Elsevier
Issue Date: 2014
ISSN: 1873-2445
Statement of
R. Horsley, Y. Nakamura, A. Nobile, P.E.L. Rakow, G. Schierholz, J.M. Zanotti
Abstract: The axial charge of the nucleon gA and the pion decay constant fπ are computed in two-flavor lattice QCD. The simulations are carried out on lattices of various volumes and lattice spacings. Results are reported for pion masses as low as mπ = 130 MeV. Both quantities, gA and fπ, suffer from large finite size effects, which to leading order ChEFT and ChPT turn out to be identical. By considering the naturally renormalized ratio gA/ fπ , we observe a universal behavior as a function of decreasing quark mass. From extrapolating the ratio to the physical point, we find gR/A = 1.29(5)(3), using the physical value of fπ as input and r0 = 0.50(1) to set the scale. In a subsequent calculation we attempt to extrapolate gA and fπ separately to the infinite volume. Both volume and quark mass dependencies of gA and fπ are found to be well described by ChEFT and ChPT. We find at the physical point gRA = 1.24(4) and f R/π = 89.6(1.1)(1.8) MeV. Both sets of results are in good agreement with experiment. As a by-product we obtain the low-energy constant Ī4 = 4.2(1)
Rights: © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license ( Funded by SCOAP.
RMID: 0030015624
DOI: 10.1016/j.physletb.2014.03.002
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Appears in Collections:Physics publications

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