Rephasing invariance and permutation symmetry in flavor physics

TL;DR

This paper demonstrates how rephasing invariance principles can be extended to establish permutation symmetry in the standard model, and proposes a new set of parameters to characterize flavor mixing.

Contribution

It introduces a novel approach linking rephasing invariance to permutation symmetry and proposes a unique set of flavor mixing parameters.

Findings

Permutation symmetry can be established for the standard model.

Physical variables transform as tensors under permutation.

A new set of four flavor mixing parameters is proposed.

Abstract

With some modifications, the arguments for rephasing invariance can be used to establish permutation symmetry for the standard model. The laws of evolution of physical variables, which transform as tensors under permutation, are found to obey the symmetry, explicitly. We also propose to use a set of four mixing parameters, with unique properties, which may serve to characterize flavor mixing.