http://arxiv.org/abs/2304.02604
We have studied the role of Hawking evaporation of primordial black hole in the production of the supersymmetric particles like sneutrinos – the super-partner of heavy right handed neutrinos. Considering lepton number violating decays of such particles and $CP$ violating phases due to soft supersymmetry breaking terms, we have obtained the baryonic asymmetry of the universe which depends on the mass of primordial black holes. Apart from CMB and BBN constraints on such mass, we have shown more stringent upper bound on this mass from the requirement of black hole evaporation temperature to be above the temperature required for almost first order phase transition so that leptogenesis could create the observed baryonic asymmetry. We have shown how the primordial black hole mass, heavy right handed neutrino mass and soft supersymmetry breaking parameters are related from the requirement of successful leptogenesis and the allowed parameter space to avoid gravitino problem. Considering experimental constraint on branching ratio of $\mu \rightarrow e \gamma $, we have shown the connection of right handed neutrino mass scale with the lower bound of the typical mass scale of supersymmetric particles.
S. Khan and R. Adhikari
Thu, 6 Apr 23
46/76
Comments: 14 pages, 3 figures
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