Constraints on Parameters of the R_F Parity Model from Quark and Neutrino Mass Matrices

TL;DR

This paper explores constraints on parameters in the R_F parity model by analyzing quark and neutrino mass matrices, deriving conditions on superpartner masses, and discussing neutrino mixing scenarios with and without sterile neutrinos.

Contribution

It determines the forms of quark and neutrino mass matrices in the R_F parity model and derives experimental constraints on superpartner masses and neutrino mixing possibilities.

Findings

Superpartner masses must satisfy specific lower bounds.

Without sterile neutrinos, large neutrino mixing angles are hard to achieve.

Sterile neutrinos enable large mixing angle solutions.

Abstract

The forms of quark and lepton mass matrices are severely restricted in the $R_F$ parity model. We determine the form of the quark mass matrix first and derive the form of the neutrino mass matrix. For this to be consistent with the present experiments, we conclude that the masses of the superpartners of the right--handed down-type squarks and sneutrino vacuum expectation values satisfy, ${m_{\tilde{d}_{Rj}}}\vmu \gtrsim 400 ~{\rm GeV}^2 $ or ${m_{\tilde{d}_{Rj}}}\vtau \gtrsim 400 ~{\rm GeV}^2 $. We also find that without a sterile neutrino it is difficult to obtain a large mixing angle solution of $\nu_\mu$ and $\nu_\tau$. With a sterile neutrino, we show a possibility for a large mixing angle solution of $\nu_\mu$ with $\nu_{\rm sterile}$.