Study of baryon number and lepton flavour violation in the new minimal supersymmetric SO(10)GUT

TL;DR

This paper investigates the new minimal supersymmetric SO(10) GUT, addressing proton decay, lepton flavor violation, and spectrum fitting, with improved loop corrections and a novel approach to flavor unification.

Contribution

It provides a detailed analysis of the superheavy spectrum, threshold corrections, and flavor violation within the NMSGUT, introducing a Yukawonification strategy for flavor unification.

Findings

Compatibility of lepton flavor violation with baryon number limits.

Improved fits with loop corrections to sparticle spectra.

Feasibility of NUHM parameters via two-loop beta functions.

Abstract

We study the so-called new minimal supersymmetric SO(10) GUT(NMSGUT) where explicit spontaneous symmetry breaking allows determination of superheavy spectrum and thus threshold corrections to the effective MSSM couplings. This provides a generic mechanism to resolve the long standing super fast proton decay in Susy GUTs. We estimate lepton flavor violation associated with realistic charged fermion and (Type I seesaw) neutrino fit and show compatibility with baryon number and lepton flavour violation limits. We improve NMSGUT fits by including important loop corrections to sparticle spectra. Our fits use 5 GUT compatible soft supersymmetry breaking parameters of the Supergravity with Non-Universal Higgs Masses(SUGRY-NUHM) type. We calculate the full two loop NMSGUT gauge-Yukawa beta functions to study feasibility of the NUHM parameters via strong renormalization of SO(10) Higgs soft masses. Focus on MSSM Higgs allows formulation of a "Yukawonification" strategy for gauged flavour unification.