Revisiting Flavor and CP Violation in Supersymmetric SU(5) with Right-Handed Neutrinos

TL;DR

This paper examines flavor and CP violation in a minimal supersymmetric SU(5) grand unified theory with right-handed neutrinos, analyzing constraints from proton decay, electric dipole moments, and Higgs mass, and identifying viable parameter regions.

Contribution

It provides a detailed analysis of flavor and CP violation constraints in SUSY SU(5) models with right-handed neutrinos, considering recent experimental bounds and the impact of non-zero A-terms.

Findings

Viable parameter regions exist with large neutrino mixing angles and phases.

Flavor and CP constraints are less restrictive for sfermion masses above a few TeV.

Non-zero A-terms help satisfy all experimental constraints.

Abstract

We revisit the minimal supersymmetric SU(5) grand unified theory with three right-handed neutrinos in which universality conditions for soft-supersymmetry breaking parameters are imposed at an input scale above the unification scale. If the Majorana masses for the neutrinos are around $10^{15}$ GeV, large mixing angles and phases in the neutrino sector lead to flavor-violation and CP-violation in the right-handed down squark and left-handed slepton sectors. Since the observed Higgs boson mass and the proton decay constraints indicate sfermions have masses larger than a few TeV, flavor and CP constraints are less restrictive. We explore the constraints on models with a universal soft-supersymmetry breaking input parameters coming from proton stability, electric dipole moments, $\mu\to e\gamma$ decays, and the Higgs mass observed at the LHC. Regions compatible with all constraints can be found if non-zero A-terms are taken.