Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Structure of Hadrons and Nuclei
Flavor diagonal charges of the nucleon and the sigma term
R. Gupta*, S. Park, T. Bhattacharya, F. He, S. Mondal, H.W. Lin and B. Yoon
*: corresponding author
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Pre-published on: February 20, 2025
Published on:
Abstract
Final results from the PNDME calculations of the flavor
diagonal charges of the nucleons, $g_{A,S,T}^{u,d,s}$, the
pion-nucleon sigma term, $\sigma_{\pi N}=m_{u,d} g_S^{u+d}$, and the
strangeness content of the nucleons $\sigma_{s}=m_{s} g_S^{s}$,
obtained using eight 2+1+1-flavor HISQ ensembles generated by the
MILC collaboration are presented. To remove excited-state
contributions, we have carried out both the ``standard'' and ``$N
\pi$'' analyses and use physics or $\chi$PT based reasoning for
picking between the two for the final result. To renormalize the charges,
we have carried out the calculation of the full mixing matrix for
the 2+1-flavor theory using the RI-SMOM scheme on the lattice and
then using perturbative results to match to $\overline{MS}$ scheme
and run to a common scale of $2$~GeV. The
chiral-continuum-finite-volume (CCFV) extrapolation is carried out
keeping the leading corrections in each. The results for
$g_{A,S,T}^{u,d,s}$ are summarized in Table~2 and
for the sigma terms in Eq.~4.
DOI: https://doi.org/10.22323/1.466.0333
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