Abstract
The R-parity violating decays of Bino neutralino LSPs are analyzed within the context of the B − L MSSM “heterotic standard model”. These LSPs correspond to statistically determined initial soft supersymmetry breaking parameters which, when evolved using the renormalization group equations, lead to an effective theory satisfying all phenomenological requirements; including the observed electroweak vector boson masses and the Higgs mass. The explicit RPV decay channels of these LSPs into standard model particles, the analytic and numerical decay rates and the associated branching ratios are presented. The analysis of these quantities breaks into two separate calculations; first, for Bino neutralino LSPs with mass larger than MW± and, second, when the Bino neutralino mass is smaller than the electroweak scale. The RPV decay processes in both of these regions is analyzed in detail. The decay lengths of these RPV interactions are discussed. It is shown that for heavy Bino neutralino LSPs the vast majority of these decays are “prompt”, although a small, but calculable, number correspond to “displaced” decays of various lengths. The situation is reversed for light Bino LSPs, only a small number of which can RPV decay promptly. The relation of these results to the neutrino hierarchy — either normal or inverted — is discussed in detail.
Highlights
It was introduced “from the bottom up” point of view as an effective field theory extension of the MSSM [21–26]
They are determined by statistically scanning over a vast range of soft supersymmetry breaking parameters, scaling the theory down to the electroweak scale using the renormalization group, and choosing those initial parameters that lead to completely realistic results
When R-parity is spontaneously broken, as it is in the B − L MSSM, the chosen LSP will decay via exactly calculable RPV interactions into standard model particles
Summary
The soft SUSY breaking Lagrangian has over 100 independent parameters, including gaugino mass terms, sfermions mass terms and Higgs couplings. The soft supersymmetry breaking parameters are statistically scattered in the range (2.1) with a log-uniform distribution. Symmetry considerations require the mass parameters in the soft SUSY breaking Lagrangian to be real, while allowing them to take both positive and negative values. We statistically generate 108 sets of initial points, each set containing 24 soft SUSY breaking parameters. Using RGE calculations discussed in detail in [8, 30], we run the mass parameters and physical couplings of the theory down from the scale MI — where the B − L MSSM emerges after the spontaneous breaking of an SO(10) GUT theory — through the soft SUSY breaking scale to lower energies. We find that 42,039 black points out of the 67,576 physically viable sets have a Bino neutralino LSP. The Wino neutralino χ0W and Wino chargino χ±W RPV decays were studied in detail in [31]
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