Semileptonic Hyperon Decays on the Lattice: an Exploratory Study

TL;DR

This paper explores lattice QCD methods to calculate hyperon decay form factors, aiming to assess the precision and SU(3)-breaking effects relevant for semileptonic hyperon decays.

Contribution

It introduces an exploratory lattice approach for hyperon form factors, adapting methods from kaon decay studies to evaluate SU(3)-breaking effects.

Findings

Preliminary results demonstrate the feasibility of the lattice method.

The study estimates the potential precision of hyperon form factor calculations.

SU(3)-breaking effects are identified as significant in hyperon decay form factors.

Abstract

We present preliminary results of an exploratory lattice study of the vector form factor $f_1(q^2 = 0)$ relevant for the semileptonic hyperon decay $\Sigma^{-} --> n l \nu$. This study is based on the same method used for the extraction of $f^+(0)$ for the decay $K^0 --> \pi^{-} l \nu$. The main purpose of this study is to test the method for hyperon form factors in order to estimate the precision that can be reached and the importance of SU(3)-breaking effects.