R-parity breaking phase transition in the SUSY singlet majoron model

We consider thermal properties of the SUSY singlet majoron model. We compute the critical temperature Tc and the subsequent reheating temperature TRH for R-parity breaking. Successful baryogenesis constrains the parameter space via the requirements that Tc and TRH are lower than the electroweak phase transition temperature. A further constraint is provided by requiring that the gauge singlet should be kinematically allowed to decay, in order not to have a matter dominated universe at the time of nucleosynthesis. We have made a detailed study of the parameter space and find an upper limit for the SUSY breaking scalar mass m0 ≲ 750 (900) GeV if mgluino = 100 (1000) GeV, which is valid except for certain special values of the singlet sector parameters.