Charged-Lepton Mixing and Lepton Flavor Violation

TL;DR

This paper develops a model for charged-lepton mixing matrices to predict lepton flavor violation rates, linking them to quark mass matrices and exploring implications for B-meson decay anomalies.

Contribution

It introduces a new model connecting charged-lepton mixing to quark mass matrices within lepton nonuniversality frameworks, aiding predictions of flavor-violating decay rates.

Findings

Mu tau decay channels have the highest predicted rates.

The model relates lepton mixing to quark mass matrices.

Predicted flavor-violating B-decay rates are consistent with recent anomalies.

Abstract

We present a model for calculating charged-lepton mixing matrices. These matrices are an essential ingredient for predicting lepton flavor-violating rates in the lepton number nonuniversal models recently proposed to explain anomalies in B-meson decays. The model is based on work on "constrained flavor breaking" by Appelquist, Bai and Piai relating the charged-lepton mass matrix, M_l, to those for the up and down-type quarks, M_{u,d}. We use our recent model of lepton nonuniversality to illustrate the magnitudes of flavor-violating B-decay rates that might be expected. Decays with mu tau final states generally have the highest rates by far.