Abstract : We consider a phenomenological extension of the minimal supersymmetric standard model ( MSSM ) which incorporates non-minimal chaotic inflation , driven by a quadratic potential in conjunction with a linear term in the frame function .
Inflation is followed by a Peccei-Quinn phase transition , based on renormalizable superpotential terms , which resolves the strong CP and \mu problems of MSSM and provide masses lower than about 10 ^ { 12 } ~ { } { \mbox { GeV } } for the right-handed ( RH ) ( s ) neutrinos .
Baryogenesis occurs via non-thermal leptogenesis , realized by the out-of-equilibrium decay of the RH sneutrinos , which are produced by the inflaton ’ s decay .
Confronting our scenario with the current observational data on the inflationary observables , the light neutrino masses , the baryon asymmetry of the universe and the gravitino limit on the reheat temperature , we constrain the strength of the gravitational coupling to rather large values ( \sim 45 - 2950 ) and the Dirac neutrino masses to values between about 1 and 10 ~ { } { \mbox { GeV } } . PACs numbers : 98.80.Cq , 11.30.Qc , 11.30.Er , 11.30.Pb , 12.60.Jv Published in Phys .
Rev .
D 86 , 023523 ( 2012 )