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

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 ${\lambda }^{\prime }$-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.

Revised version, 25 pages, 16 figures

References in corpus (4)

• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Accumulating evidence for nonstandard leptonic decays of D_s mesons
• Measurement of B(Ds -> munu)
• R-parity violating supersymmetry, B_s mixing, and D_s -> l nu