A new parametrization of the neutrino mixing matrix for neutrino oscillations

Abstract

In this paper we study three active neutrino oscillations, favored by recent data from SuperK and SNO, using a new parametrization of the lepton mixing matrix $V$ constructed from a linear combination of the unit matrix $I$, and a hermitian unitary matrix $U$, that is, $V=\cos \theta I+i\sin \theta U$. There are only three real parameters in $V$ including the parameter $\theta$. It is interesting to find that experimental data on atmospheric neutrino dictates the angle $\theta$ to be $\pi /4$ such that the ${\nu }_{\mu }$ and ${\nu }_{\tau }$ mixing is maximal. The solar neutrino problem is solved via the MSW effect with a small mixing angle, with $U$ depending on one small parameter $\epsilon$. The resulting mixing matrix with just two parameters ($\theta$ and $\epsilon$) predicts that the oscillating probabilities for ${\nu }_e\to {\nu }_{\mu }$ and ${\nu }_e\to {\nu }_{\tau }$ to be equal and of the order $2{\epsilon }^2=(0.25\sim 2.5)\times 10^{-3}$. The measurement of CP asymmetries at the proposed Neutrino Factories would also provide a test of our parametrization.

10 pages, Retex, no figures

References in corpus (4)

• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• Detection of Accelerator-Produced Neutrinos at a Distance of 250 km
• Measurement of CP violation at a Neutrino Factory

Cited by in corpus (3)

• Discriminating sterile neutrinos and unitarity violation with CP invariants
• Predictions for the unitarity triangle angles in a new parametrization
• A hyperbolic parametrization of lepton mixing for small $U_{e3}$