Two-loop neutrino masses with large R-parity violating interactions in supersymmetry

TL;DR

This paper explores how large R-parity violating interactions in supersymmetry can generate neutrino masses primarily through two-loop processes, aligning with observed neutrino properties while avoiding one-loop contributions.

Contribution

It demonstrates that specific large R-parity violating couplings can suppress one-loop neutrino mass contributions, making two-loop effects the dominant source in a supersymmetric framework.

Findings

Two-loop contributions can generate correct neutrino masses.

Large R-parity violating couplings can be consistent with observed neutrino mixing.

Certain parameter regions are favored for neutrino mass generation.

Abstract

We attempt to reconcile large trilinear R-parity violating interactions in a supersymmetric (SUSY) theory with the observed pattern of neutrino masses and mixing. We show that, with a restricted number of such interaction terms with the $\lambda'$-type couplings in the range (0.1-1.0), it is possible to forbid one-loop contributions to the neutrino mass matrix. This is illustrated with the help of a `working example' where an econnomic choice of SUSY parameters is made, with three non-vanishing and `large' R-parity violating terms in the superpotential. The two-loop contributions in such a case can not only generate the masses in the requisite order but can also lead us to specific allowed regions of the parameter space.