Abstract
We revisit the limits on $R$-parity violation in the minimal supersymmetric standard model. In particular, we focus on the high-scale supersymmetry scenario in which all the sparticles are in excess of the inflationary scale of approximately $10^{13}$ GeV, and thus no sparticles ever come into thermal equilibrium. In this case the cosmological limits, stemming from the preservation of the baryon asymmetry that have been previously applied for weak scale supersymmetry, are now relaxed. We argue that even when sparticles are never in equilibrium, $R$-parity violation is still constrained via higher dimensional operators by neutrino and nucleon experiments and/or insisting on the preservation of a non-zero $B-L$ asymmetry.
Highlights
Operators which violate baryon and/or lepton number represent a two-edged sword for beyond the Standard Model (SM) physics
We have revisited the limits on R-parity violation (RPV) in the minimal supersymmetric standard model, where the constraints from laboratory experiments and the preservation of the B − L asymmetry are discussed
We have focused on the high-scale supersymmetry scenario in which all the sparticles are in excess of the inflationary scale of approximately 1013 GeV, and they were never in equilibrium
Summary
Operators which violate baryon and/or lepton number represent a two-edged sword for beyond the Standard Model (SM) physics. Other process in equilibrium which violates another combination of B and L would lead to the complete washout of any baryon or lepton asymmetry independent of its origin This allows one to place strong constraints on any possible B- and/or L-violating operators [6–12]. In high-scale supersymmetry, the limits on RPV are relaxed as the supersymmetric particles were never in the thermal bath and could not participate in interactions that wash out the baryon asymmetry. This, is a generic prediction, because given the milder assumptions on RPV couplings, high-scale supersymmetric scenarios are more naturally R-parity violating, allowing more general UV completions where R-parity conservation is not necessary. We discuss the cosmological limits on the RPV interactions in high-scale supersymmetry models where all sparticles are assumed to have never been in chemical equilibrium with the SM particles.
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