Model-independent calculation of $SU(3)_f$ violation in baryon octet light-cone distribution amplitudes

TL;DR

This paper develops a model-independent approach to calculate SU(3) flavor symmetry breaking effects in baryon octet light-cone distribution amplitudes using chiral perturbation theory, aiding lattice data extrapolation.

Contribution

It introduces a minimal parametrization of baryon octet distribution amplitudes that incorporates higher twist effects and SU(3) breaking in a model-independent way using chiral perturbation theory.

Findings

Derived quark mass dependence of distribution amplitudes at one-loop accuracy.

Constructed nonlocal three-quark operators consistent with baryon and meson fields.

Provided a compact set of distribution amplitudes suitable for lattice extrapolation.

Abstract

In this work we present a minimal parametrization of the light-cone distribution amplitudes of the baryon octet including higher twist contributions. Simultaneously we obtain the quark mass dependence of the amplitudes at leading one-loop accuracy by the use of three-flavor baryon chiral perturbation theory (BChPT), which automatically yields model-independent results for the leading $SU(3)$ flavor breaking effects. For that purpose we have constructed the nonlocal light-cone three-quark operators in terms of baryon octet and meson fields and have carried out a next-to-leading order BChPT calculation. We were able to find a minimal set of distribution amplitudes (DAs) that do not mix under chiral extrapolation towards the physical point and naturally embed the $\Lambda$ baryon. Additionally they are chosen in such a way that all DAs of a certain symmetry class have a similar quark mass dependence (independent of the twist of the corresponding amplitude), which allows for a compact presentation. The results are well-suited for the extrapolation of lattice data and for model building.