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

Kwang Sik Jeong, Naoya Kitajima, Fuminobu Takahashi

Research output: Contribution to journalArticle

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 charge-parity (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 differences and find that the predicted value of mee can be within the reach of future 0νββ experiments especially for N on the high side of the allowed range.

Original languageEnglish
Article number113010
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number11
DOIs
Publication statusPublished - 2015 Jun 16

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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