Test of SU(3) Symmetry in Hyperon Semileptonic Decays

TL;DR

This paper investigates SU(3) symmetry breaking in hyperon semileptonic decays by deriving a GMO-like relation for axial vector form factors and analyzing experimental data, revealing a 5-11% symmetry breaking.

Contribution

The paper introduces a GMO-like relation for hyperon decay axial form factors to quantify SU(3) symmetry breaking.

Findings

SU(3) symmetry breaking is 5-11% in hyperon semileptonic decays.

Derived a GMO relation for axial vector form factors.

Provided evidence for small but significant SU(3) symmetry breaking.

Abstract

Existing analyzes of baryon semileptonic decays indicate the presence of a small SU(3) symmetry breaking in hyperon semileptonic decays, but to provide evidence for SU(3) symmetry breaking, one would need a relation similar to the Gell-Mann Okubo(GMO) baryon mass formula which is satisfied to a few percents, showing evidence for SU(3) symmetry breaking in the divergence of the vector current matrix element. In this paper, we shall present a similar GMO relation for the hyperon semileptonic decay axial vector form factors. Using these relations and the measured axial vector current to vector current form factor ratios, we show that SU(3) symmetry breaking in hyperon semileptonic decays is of 5-11%.