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Nucleon axial and pseudoscalar form factors using twisted-mass fermion ensembles at the physical point
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abstract
We compute the nucleon axial and pseudoscalar form factors using three $N_f=$2+1+1 twisted mass fermion ensembles with all quark masses tuned to approximately their physical values. The values of the lattice spacings of these three physical point ensembles are 0.080 fm, 0.068 fm, and 0.057 fm, and spatial sizes 5.1 fm, 5.44 fm, and 5.47 fm, respectively, yielding $m_\pi L$>3.6. Convergence to the ground state matrix elements is assessed using multi-state fits. We study the momentum dependence of the three form factors and check the partially conserved axial-vector current (PCAC) hypothesis and the pion pole dominance (PPD). We show that in the continuum limit, the PCAC and PPD relations are satisfied. We also show that the Goldberger-Treimann relation is approximately fulfilled and determine the Goldberger-Treiman discrepancy. We find for the nucleon axial charge $g_A$=1.245(28)(14), for the axial radius $\langle r^2_A \rangle$=0.339(48)(06) fm$^2$, for the pion-nucleon coupling constant $g_{\pi NN} \equiv \lim_{Q^2 \rightarrow -m_\pi^2} G_{\pi NN}(Q^2)$=13.25(67)(69) and for $G_P(0.88m_{\mu}^2)\equiv g_P^*$=8.99(39)(49).
Forward citations
Cited by 9 Pith papers
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Continuum-limit nucleon charges and sigma-terms from physical-point lattice ensembles: the isovector axial charge is 1.250(24) and sigma_piN is 41.9(8.1) MeV, with a preliminary finer-lattice check.
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A GEVP weighting that skips the costly pion-nucleon diagonal three-point function significantly reduces N pi excited-state contamination for isovector pseudoscalar and axial nucleon matrix elements at m_pi=131 MeV.
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Isovector axial and pseudoscalar form factors from twisted mass lattice QCD at the physical point
From three physical-point twisted mass ensembles, the authors extract g_A, the axial radius, g_P^* and g_piNN in the continuum limit and report that PCAC and pion pole dominance hold.
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