SU(3) breaking in hyperon transition vector form factors

Abstract

We present a calculation of the SU(3)-breaking corrections to the hyperon transition vector form factors to $\mathcal{O}(p^4)$ in heavy baryon chiral perturbation theory with finite-range regularisation. Both octet and decuplet degrees of freedom are included. We formulate a chiral expansion at the kinematic point $Q^2=-(M_{B_1}-M_{B_2}{)}^2$, which can be conveniently accessed in lattice QCD. The two unknown low-energy constants at this point are constrained by lattice QCD simulation results for the ${\Sigma }^{-}\to n$ and ${\Xi }^0\to {\Sigma }^{+}$ transition form factors. Hence we determine lattice-informed values of $f_1$ at the physical point. This work constitutes progress towards the precise determination of $|V_{us}|$ from hyperon semileptonic decays.

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• Hyperon decay form factors in chiral perturbation theory
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Cited by in corpus (9)

• Global Effective-Field-Theory analysis of New-Physics effects in (semi)leptonic kaon decays
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Feynman--Hellmann approach to transition matrix elements and quasi-degenerate energy states
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• The SU(3) Vector Currents in BChPT x 1/Nc
• Accessing high-momentum nucleons with dilute stochastic sources
• Hyperon production in quasielastic ${\bar{\nu }}_{\tau }-$nucleon scattering
• Lattice Calculation of the Proton Charge Radius