Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for 0νββ and δCP

Abstract

We show that a degenerate neutrino mass spectrum can be realized in the neutrino mass anarchy hypothesis, if the neutrino Yukawa and right-handed neutrino mass matrices are given by the Wishart matrix, i.e. products of N 3 rectangular random matrices, whose eigenvalue distribution tends to degenerate for large N. The mixing angle and CP phase distributions are determined by either the Haar measure of U(3) or that of SO(3). We study how large N is allowed to be without tension with the observed neutrino mass squared dierences, and nd that the predicted value of mee can be within the reach of future 0 experiments especially for N on the high side of the allowed range.