Neutrino Mixing Anarchy: Alive and Kicking

TL;DR

This paper evaluates the neutrino mixing anarchy hypothesis, demonstrating its consistency with recent experimental data and analyzing its predictive power regarding neutrino mixing parameters and CP-violation.

Contribution

It provides a statistical assessment of the anarchy hypothesis in light of new data and explores its implications for neutrino mixing predictions and underlying theories.

Findings

Anarchy hypothesis is consistent with recent data (44% probability).

No strong correlations found among neutrino mixing parameters.

Expectations for CP-violation magnitude are discussed.

Abstract

Neutrino mixing anarchy is the hypothesis that the leptonic mixing matrix can be described as the result of a random draw from an unbiased distribution of unitary three-by-three matrices. In light of the recent very strong evidence for a nonzero sin^2(theta_13), we show that the anarchy hypothesis is consistent with the choice made by the Nature -- the probability of a more unusual choice is 44%. We revisit anarchy's ability to make predictions, concentrating on correlations - or lack thereof - among the different neutrino mixing parameters, especially sin^2(theta_13) and sin^2(theta_23). We also comment on anarchical expectations regarding the magnitude of CP-violation in the lepton sector, and potential connections to underlying flavor models or the landscape.