Yukawa Unification on the Bilinear R-Parity model

TL;DR

This paper explores gauge and Yukawa unification within a supersymmetric bilinear R-parity violating model, demonstrating its flexibility in achieving unification across various parameters and comparing predictions with experimental data.

Contribution

It shows that the bilinear R-parity model enables $b- au$ and $t-b- au$ Yukawa unification for a wide range of parameters, expanding the possibilities beyond the MSSM.

Findings

Allows $b- au$ Yukawa unification for any $ aneta$

Easier to achieve $t-b- au$ unification at high $ aneta$

Discusses compatibility with measured $ ext{α}_s(M_Z)$

Abstract

We discuss gauge and Yukawa unification in the context of a supersymmetric model with bilinear R-parity violation. We show that this model allows $b-\tau$ Yukawa unification for any value of $\tan\beta$ while satisfying perturbativity of the couplings. We also find the $t-b-\tau$ Yukawa unification easier to achieve than in the MSSM, occurring in a wider high $\tan\beta$ region. Finaly, we also discuss the compatibility between the predicted and the measured values for $\alpha_s(M_Z)$