The exponential parameterization of the quark mixing matrix

TL;DR

This paper discusses an exponential parameterization of the quark mixing matrix that naturally reflects its hierarchical structure and extends this approach to neutrino mixing, including a new exponential generator for the tribimaximal matrix.

Contribution

It introduces an exponential parameterization that captures the hierarchical features of quark and neutrino mixing matrices, including a novel generator for the tribimaximal form.

Findings

The exponential parameterization naturally incorporates the Cabibbo and Wolfenstein structures.

Extension of the exponential approach to neutrino mixing matrices.

Introduction of an exponential generator for the tribimaximal matrix.

Abstract

We comment on the exponential parameterization of the quark mixing matrix, by stressing that it naturally incorporates the Cabibbo structure and the hierarchical features of the Wolfenstein form. We extend our results to the neutrino mixing and introduce an exponential generator of the tribimaximal matrix.