Lepton flavor mixing in the Wolfenstein scheme

TL;DR

This paper adapts the Wolfenstein parameterization, originally for quark mixing, to describe neutrino oscillations, providing a simplified scheme that relates mixing angles to a single parameter and derives bounds on additional parameters from experimental data.

Contribution

It introduces a Wolfenstein-inspired parametrization for neutrino mixing, linking mixing angles to powers of a single parameter and deriving bounds on new parameters from current neutrino data.

Findings

Parameter $ ho$, $ heta_{13}$, and $ heta_{12}$ are constrained by experimental data.

The scheme relates neutrino mixing angles to powers of the parameter $ ext{lambda}$.

Derived bounds on parameters $A$, $ ho$, and $ ext{eta}$ from world average neutrino data.

Abstract

We mimic the Wolfenstein scheme of quark flavor mixing to describe neutrino oscillations in the standard model. We identify the parameter $\lambda$ with the experimentally measured value of the mixing element responsible for atmospheric neutrino oscillations. The matrix elements responsible for solar neutrino oscillations and the Chooz angle are taken to be proportional to $\lambda^2$ and $\lambda^3$, respectively. Using present world average data on neutrinos, we derive bounds on the other parameters $A$, $\rho$, and $\eta$, of the new scheme.