Grand unified theory constrained supersymmetry and neutrinoless double beta decay

TL;DR

This paper investigates how GUT-constrained supersymmetry models contribute to neutrinoless double beta decay, analyzing nuclear matrix elements, particle contributions, and experimental limits to constrain model parameters.

Contribution

It provides a comprehensive analysis of GUT-constrained MSSM contributions to neutrinoless double beta decay, including nuclear matrix elements and experimental constraints.

Findings

GUT-constrained MSSM can significantly contribute to neutrinoless double beta decay.

Current experimental limits constrain the R-parity breaking parameter λ'_{111}.

Analysis of gluino and neutralino contributions highlights their importance in decay processes.

Abstract

We analyze the contributions to the neutrinoless double $\beta$ decay ($0\nu\beta\beta$-decay) coming from the Grand Unified Theory (GUT) constrained Minimal Supersymmetric Standard Model (MSSM) with trilinear R-parity breaking. We discuss the importance of two-nucleon and pion-exchange realizations of the quark-level $0\nu\beta\beta$-decay transitions. In this context, the questions of reliability of the calculated relevant nuclear matrix elements within the Renormalized Quasiparticle Random Phase Approximation (pn-RQRPA) for several medium and heavy open-shell nuclei are addressed. The importance of gluino and neutralino contributions to $0\nu\beta\beta$-decay is also analyzed. We review the present experiments and deduce limits on the trilinear R-parity breaking parameter $\lambda_{111}'$ from the non-observability of $0\nu\beta\beta$-decay for different GUT constrained SUSY scenarios. In addition, a detailed study of limits on the MSSM parameter space coming from the $B \to X_s \gamma$ processes by using the recent CLEO and OPAL results is performed. Some studies in respect to the future $0\nu\beta\beta$-decay project GENIUS are also presented.