2-loop supersymmetric renormalization group equations including R-parity violation and aspects of unification - art. no. 056002

We present the complete 2-loop renormalization group equations of superpote ntial parameters for the supersymmetric standard model including the full s et of R-parity violating superpotential couplings. We use these equations t o do a study of (a) gauge coupling unification, (b) bottom-tau unification, (c) the fixed-point structure of the top quark Yukawa coupling, and (d) tw o-loop bounds from perturbative unification. The value of alpha(S)(M-Z) pre dicted from unification can be reduced by 5% with respect to the R-parity c onserving case, bringing it to within 2 sigma of the observed value. Bottom -tau Yukawa unification becomes potentially valid for any value of tan beta similar to 2-50. The prediction of the top Yukawa coupling from the low ta n beta infrared quasi-fixed point can be lowered by up to 10%, raising tan beta up to a maximum of 5 and relaxing experimental constraints upon the qu asi-fixed scenario. For heavy scalar fermion masses O(1 TeV) the limits on the higher family Delta L not equal 0 operators from perturbative unificati on are competitive with the indirect laboratory bounds. We calculate the de pendence of these bounds upon tan beta. [S0556-2821(99)04217-4].