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

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 $m_{\pi }L=4.6$ but chiral extrapolation needs to be performed more carefully. Nevertheless, the discrepancy remains and further studies are needed to fully understand it.

21 pages, 4 figures

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Cited by in corpus (10)

• Global Effective-Field-Theory analysis of New-Physics effects in (semi)leptonic kaon decays
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Magnetic moments of the spin-1/2 singly charmed baryons in covariant baryon chiral perturbation theory
• SU(3) breaking in hyperon transition vector form factors
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• The baryon vector current in the combined chiral and 1/Nc expansions
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• A unified formulation of one-loop tensor integrals for finite volume effects