Status of Supersymmetric Seesaw in SO(10) models

TL;DR

This paper evaluates the current status of supersymmetric seesaw models within SO(10) frameworks, considering recent experimental constraints from lepton flavor violation, neutrino mixing, and Higgs mass measurements, and explores how different boundary conditions affect model viability.

Contribution

It provides a comprehensive analysis of supersymmetric SO(10) seesaw models under recent experimental data, including the impact of non-universal Higgs masses on flavor violation predictions.

Findings

Large mixing case is highly constrained, with only a small parameter space remaining.

Future experiments could exclude the remaining parameter space with improved sensitivity.

Non-universal Higgs boundary conditions can significantly alter flavor violation predictions.

Abstract

We report on the status of supersymmetric seesaw models in the light of recent experimental results on $\mu \to e + \gamma$, $\theta_{13}$ and the light Higgs mass at the LHC. SO(10)-like relations are assumed for neutrino Dirac Yukawa couplings and two cases of mixing, one large, PMNS-like, and another small, CKM-like, are considered. It is shown that for the large mixing case, only a small range of parameter space with moderate $\tan \beta$ is still allowed. This remaining region can be ruled out by an order of magnitude improvement in the current limit on BR($\mu \to e + \gamma$). We also explore a model with non-universal Higgs mass boundary conditions at the high scale. It is shown that the renormalization group induced flavor violating slepton mass terms are highly sensitive to the Higgs boundary conditions. Depending on the choice of the parameters, they can either lead to strong enhancements or cancellations within the flavor violating terms. Such cancellations might relax the severe constraints imposed by lepton flavor violation compared to mSUGRA. Nevertheless for a large region of parameter space the predicted rates lie within the reach of future experiments once the light Higgs mass constraint is imposed. We also update the potential of the ongoing and future experimental searches for lepton flavor violation in constraining the supersymmetric parameter space.