Grand unified theory constrained supersymmetry and neutrinoless double beta decay
We analyze the contributions to the neutrinoless double $β$ decay ($0νββ$-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 $0νββ$-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 $0νββ$-decay is also analyzed. We review the present experiments and deduce limits on the trilinear R-parity breaking parameter $λ_{111}'$ from the non-observability of $0νββ$-decay for different GUT constrained SUSY scenarios. In addition, a detailed study of limits on the MSSM parameter space coming from the $B \to X_s γ$ processes by using the recent CLEO and OPAL results is performed. Some studies in respect to the future $0νββ$-decay project GENIUS are also presented.