Predictions of the Top mass in Mininal Supersymmetric Left-Right Model

Abstract

The one-loop evolution of Yukawa couplings in the minimal supersymmetric left-right model (MSUSYLR) model with a wide variation of the right handed breaking scale $M_R$ from 1 TeV to $10^{18}$ GeV is studied assuming that all third generation Yukawa couplings are equal and in the fixed point domain of the top quark Yuakwa coupling ($h_t$) at the Plank scale. We show that: (1) The top quark Yukawa coupling $h_t$ displays a fixed point behaviour that is similar to that of the minimal supersymmetric standard model (MSSM). (2) The MSUSYLR model predicts a value of the top mass in the interval 177 to 184 GeV for $\alpha_s$ in the interval 0.11 to 0.12. (3) A large value of $tan\beta$ is required to reproduce the correct mass of the bottom quark and tau lepton. (4) With the experimental value of the ratio ${m_b(m_b) \over m_\tau(m_\tau)}$ as an input the range of the right handed symmetry breaking scale $M_R$ can be predicted. (5) The numerical value of the Majorana Yukawa coupling $h_M$ can be calculated which is otherwise a completely free parameter.