Patterns of flavour symmetry breaking in hadron matrix elements involving u, d and s quarks

TL;DR

This paper investigates how SU(3) flavor symmetry breaking influences the extrapolation of baryon matrix elements and form factors, providing a systematic approach to connect symmetric and physical quark mass points.

Contribution

It introduces a symmetry breaking expansion method to constrain baryon matrix elements and form factors across different quark mass regimes.

Findings

Constructed combinations of matrix elements that interpolate from symmetric to physical quark masses.

Analyzed the vector amplitude at zero momentum transfer for flavor-changing currents.

Provided a framework for systematic extrapolation of hadron matrix elements.

Abstract

Using an SU(3)-flavour symmetry breaking expansion between the strange and light quark masses, we determine how this constrains the extrapolation of baryon octet matrix elements and form factors. In particular we can construct certain combinations, which fan out from the symmetric point (when all the quark masses are degenerate) to the point where the light and strange quarks take their physical values. As a further example we consider the vector amplitude at zero momentum transfer for flavour changing currents.