Bilinear R-parity Violation in Rare Meson Decays

TL;DR

This paper investigates rare meson decays within a supersymmetric model with bilinear R-parity violation, providing estimates of branching ratios and comparing them with other lepton number violation mechanisms.

Contribution

It introduces a detailed analysis of rare meson decays in a supersymmetric framework with bilinear R-parity violation, including numerical estimates and comparison with other models.

Findings

Branching ratios for rare meson decays are estimated.

Comparison shows differences between bilinear R-parity violation and other mechanisms.

Results suggest potential experimental signatures for R-parity violation.

Abstract

We discuss rare meson decays $K^ + \to \pi ^ - \ell ^ + \ell '^ +$ and $D^ + \to K^ - \ell ^ + \ell '^ +$ ($\ell ,\ell ' = e,\mu $) in a supersymmetric extension of the standard model with explicit breaking of R-parity by bilinear Yukawa couplings in the superpotential. Estimates of the branching ratios for these decays are given. We also compare our numerical results with analogous ones previously obtained for two other mechanisms of lepton number violation: exchange by massive Majorana neutrinos and trilinear R-parity violation.