Hyperon neutrinoless double beta decays in chiral perturbation theory

TL;DR

This paper investigates neutrinoless double beta decays of hyperons using chiral perturbation theory, providing decay amplitude calculations and Dalitz plot analyses to explore lepton number violation in baryon decays.

Contribution

It introduces a novel calculation of hyperon neutrinoless double beta decay amplitudes within covariant baryon chiral perturbation theory at one-loop level.

Findings

Decay amplitudes computed for hyperon processes.

Dalitz plots presented for six decay channels.

Numerical analysis to be detailed in future work.

Abstract

We study the neutrinoless double beta decays of spin-1/2 hyperons, $B_1^- \to B_2^+ \ell^- \ell^-$ with $B_1^-\in \{\Sigma^-,\Xi^-\}$ and $B_2^+\in\{p,\Sigma^+\}$, which violate lepton number by two units. The decay amplitudes are computed within covariant baryon chiral perturbation theory at the one-loop level. Dalitz plots of the squared amplitude for six physical decay processes are presented in this proceeding, while a detailed numerical analysis will be presented in a forthcoming publication.