Can Leptonic Mixing Matrix have a Wolfenstein Form?

TL;DR

This paper investigates whether the leptonic mixing matrix can have a Wolfenstein form at high energy scales and finds that, within minimal supersymmetric models, this is incompatible with current experimental data.

Contribution

It provides a thorough analysis of the Wolfenstein form hypothesis for leptonic mixing at high scales using recent neutrino data and constraints.

Findings

Wolfenstein form at high scale is incompatible with data in minimal SUSY models

Renormalization group effects can significantly alter leptonic mixing

High-scale leptonic mixing similar to quark mixing is disfavored by current experiments

Abstract

We analyze the possibility of the leptonic mixing matrix having a Wolfenstein form at the Grand Unified Theory scale. The renormalization group evolution of masses and mixing angles from the high scale to electroweak scale, in certain new physics scenarios, can significantly alter the form of the leptonic mixing matrix. In the past it was shown that such significant enhancement implies that the leptonic mixing matrix at high scale can be the same or similar in structure to the quark one. We thoroughly analyze this hypothesis in the light of the latest neutrino oscillation data as well as other constraints such as those coming from neutrinoless double beta decay. We show that such an ansatz, at least within the context of minimal supersymmetric models, is no longer compatible with the latest experimental data.