Test of SU(3) symmetry in hyperon semileptonic decays

Existing analyses of baryon semileptonic decays indicate the presence of a small SU(3) symmetry breaking effect in hyperon semileptonic decays. However, to provide evidence for SU(3) symmetry breaking, one needs a relation similar to the Gell-Mann-Okubo baryon mass formula satisfied to within a few percent, showing evidence for SU(3) symmetry breaking in the divergence of the vector current matrix element. In this paper, we shall present a similar Gell-Mann-Okubo relation for the hyperon semileptonic decay axial vector form factors. Using these relations and the measured axial vector current for vector current form factor ratios, we show that the amount of SU(3) symmetry breaking in hyperon semileptonic decaysis 5-11%. DOI: 10.1103/PhysRevD.87.016002