An Alternative Yukawa Unified SUSY Scenario

TL;DR

This paper proposes a novel Yukawa unification scenario in supersymmetric SO(10) GUTs that involves mixing in the charged lepton sector, leading to neutrino mixing consistent with experimental data, and explores its phenomenological implications.

Contribution

It introduces a new weak eigenstate Yukawa unification model where charged leptons mix with other SO(10) multiplets, avoiding large threshold corrections and aligning with neutrino mixing observations.

Findings

Neutrino mixing angle $sin^2 2\Theta_{23} \approx 1$ in large parameter space.

Model compatible with current LHC and experimental constraints.

Provides detailed phenomenological analysis of the scenario.

Abstract

Supersymmetric SO(10) Grand Unified Theories with Yukawa unification represent an appealing possibility for physics beyond the Standard Model. However Yukawa unification is made difficult by large threshold corrections to the bottom mass. Generally one is led to consider models where the sfermion masses are large in order to suppress these corrections. Here we present another possibility, in which the top and bottom GUT scale Yukawa couplings are equal to a component of the charged lepton Yukawa matrix at the GUT scale in a basis where this matrix is not diagonal. Physically, this weak eigenstate Yukawa unification scenario corresponds to the case where the charged leptons that are in the 16 of SO(10) containing the top and bottom quarks mix with their counterparts in another SO(10) multiplet. Diagonalizing the resulting Yukawa matrix introduces mixings in the neutrino sector. Specifically we find that for a large region of parameter space with relatively light sparticles, and which has not been ruled out by current LHC or other data, the mixing induced in the neutrino sector is such that $sin^2 2\Theta_{23} \approx 1$, in agreement with data. The phenomenological implications are analyzed in some detail.