Implications of Higgs to diphoton decay rate in the bilinear R-parity violating supersymmetric model

TL;DR

This paper explores how an observed enhancement in Higgs to diphoton decay rate impacts the bilinear R-parity violating supersymmetric model, linking it to neutrino masses and constraining model parameters.

Contribution

It provides a detailed analysis of parameter constraints in the model based on Higgs decay observations and proposes a mechanism for the smallness of key parameters.

Findings

Enhanced diphoton decay rate implies specific ranges for R-parity violating parameters.

Constraints on slepton and Higgs masses are derived from the decay rate data.

A model explaining the smallness of R-parity violating parameters is proposed.

Abstract

The Large Hadron Collider has recently discovered a Higgs-like particle having a mass around 125 GeV and also indicated that there is an enhancement in the Higgs to diphoton decay rate as compared to that in the standard model. We have studied implications of these discoveries in the bilinear R-parity violating supersymmetric model, whose main motivation is to explain the non-zero masses for neutrinos. The R-parity violating parameters in this model are $\epsilon$ and $b_\epsilon$, and these parameters determine the scale of neutrino masses. If the enhancement in the Higgs to diphoton decay rate is true, then we have found $\epsilon\gapprox 0.01$ GeV and $b_\epsilon\sim$ 1 GeV$^2$ in order to be compatible with the neutrino oscillation data. Also, in the above mentioned analysis, we can determine the soft masses of sleptons ($m_L$) and CP-odd Higgs boson mass ($m_A$). We have estimated that $m_L\gapprox$ 300 GeV and $m_A\gapprox$ 700 GeV. We have also commented on the allowed values of $\epsilon$ and $b_\epsilon$, in case there is no enhancement in the Higgs to diphoton decay rate. Finally, we present a model to explain the smallness of $\epsilon$ and $b_\epsilon$.