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

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Title
Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for 0νββ and δCP
Author(s)
Gwang Sik Jeong; Naoya Kitajima; Fuminobu Takahashi
Publication Date
2015-06
Journal
Physical Review D - Particles, Fields, Gravitation and Cosmology, v.91, no.11, pp.113010
Publisher
American Physical Society
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.
URI
https://pr.ibs.re.kr/handle/8788114/1694
DOI
10.1103/PhysRevD.91.113010
ISSN
1550-7998
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
PhysRevD.91-degenerate spectrum.pdfDownload

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