Gauge and Yukawa unification with broken R-parity

We study Yukawa coupling unification in the simplest extension of the Minimal Supersymmetric Standard Model (MSSM) which incorporates R-parity violation through a bilinear superpotential term. In contrast to what happens in the MSSM, we show that bottom-tau unification at the scale MGUT where the gauge couplings approximately unify can be achieved for any value of tan β by choosing appropriately the sneutrino vacuum expectation value. Moreover, we show that in contrast with the MSSM where large tan β solutions exist, in our case for sufficiently large sneutrino VEV ν3, large tan β becomes incompatible with bottom-tau unification.