CP violation in bilinear R-parity violation and its consequences for the early universetheorie

Cheriguene, Asma; Liebler, Stefan; Porod, Werner

Preprint/Internal Report

DESY-2014-03286

CP violation in bilinear R-parity violation and its consequences for the early universetheorie

Cheriguene, A. (Corresponding Author) ; Liebler, S.Extern* ; Porod, W.

2014

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Report No.: DESY-14-109; arXiv:1406.7837

Abstract: Supersymmetric models with bilinear $R$-parity violation (BRpV) provide a framework for neutrino masses and mixing angles to explain neutrino oscillation data. We consider $CP$ violation within the new physical phases in BRpV and discuss their effect on the generation of neutrino masses and the decays of the lightest supersymmetric particle (LSP), being a light neutralino with mass $\sim 100\text{}\text{}\mathrm{GeV}$, at next-to-leading order. The decays affect the lepton and via sphaleron transitions the baryon asymmetry in the early universe. For a rather light LSP, asymmetries generated before the electroweak phase transition via e.g. the Affleck-Dine mechanism are reduced up to 2 orders of magnitude, but are still present. On the other hand, the decays of a light LSP themselves can account for the generation of a lepton and baryon asymmetry, the latter in accordance with the observation in our universe, since the smallness of the BRpV parameters allows for an out-of-equilibrium decay and sufficiently large $CP$ violation is possible consistent with experimental bounds from the nonobservation of electric dipole moments.

Keyword(s): CP: violation ; R parity: violation ; neutrino: mass ; baryon: asymmetry ; neutrino: oscillation ; electroweak interaction: critical phenomena ; sphaleron: transition ; higher-order: 1 ; LSP ; lepton ; Affleck-Dine model ; mixing angle ; neutralino ; sparticle