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arXiv · 1402.7133

Chiral extrapolation and finite-volume dependence of the hyperon vector couplings

Li-Sheng Geng·Kai-wen Li·J. Martin Camalich
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Abstract

The hyperon vector form factors at zero momentum transfer, $f_1(0)$, play an important role in a precise determination of the Cabibbo-Kobayashi-Maskawa matrix element $V_{us}$. Recent studies based on lattice chromodynamics (LQCD) simulations and covariant baryon chiral perturbation theory yield contradicting results. In this work, we study chiral extrapolation of and finite-volume corrections to the latest $n_f=2+1$ LQCD simulations. Our results show that finite-volume corrections are relatively small and can be safely ignored at the present LQCD setup of $m_πL=4.6$ but chiral extrapolation needs to be performed more carefully. Nevertheless, the discrepancy remains and further studies are needed to fully understand it.

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Li-Sheng Geng, Kai-wen Li, J. Martin Camalich. 2014-02-28. Chiral extrapolation and finite-volume dependence of the hyperon vector couplings. https://doi.org/10.1103/physrevd.89.113007

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