Abstract
We present a reanalysis of nucleon decay in the context of the $R$-parity violating Minimal Supersymmetric Standard Model, updating bounds on $R$-parity violating parameters against recent experimental and lattice results. We pay particular attention to the derivation of these constraints and specifically to the hadronic matrix elements, which usually stand as the limiting factor in order to derive reliable bounds, except for these few channels that have been studied on the lattice.
Highlights
The question of matter stability emerged sixty years ago from the realization that the observed baryon asymmetry of the Universe [1] required a violation of those symmetries forbidding proton decay [2]
We focus on nucleon decay from the RP -violating (RpV)
For two entering downtype lines and one entering up-type line plus a neutrino, we first have a diagram with internal sdown line: AEFT 1⁄2uαm dβn uγp eq 1⁄4 −iεαβγ fðCO1 Þnmpq
Summary
The question of matter stability emerged sixty years ago from the realization that the observed baryon asymmetry of the Universe [1] required a violation of those symmetries forbidding proton decay [2]. RP could be sacrificed altogether, leading to so-called RP -violating (RpV) models [17,18], with (renormalizable) bilinear and/or trilinear either B- or L-violating terms in the superpotential At this level, it is still possible to impose B or L invariance on the Lagrangian density, or accept proton decay as a phenomenological possibility. Beyond nucleon decays, which violate the baryon number by one unit, processes violating B by two units, such as dinucleon decays or neutron-antineutron oscillations, provide relevant limits on single RpV couplings, in particular, of U c Dc Dc type These phenomena often require further sources of flavor violation in the squark sector. III, we apply up-to-date experimental bounds to specific decay channels and obtain limits on combinations of RpV couplings, before a short conclusion
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