TY - JOUR

T1 - Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for 0νββ and δcP

AU - Jeong, Kwang Sik

AU - Kitajima, Naoya

AU - Takahashi, Fuminobu

N1 - Publisher Copyright:
© 2015 American Physical Society.

PY - 2015/6/16

Y1 - 2015/6/16

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.91.113010

DO - 10.1103/PhysRevD.91.113010

M3 - Article

AN - SCOPUS:84935439218

VL - 91

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 11

M1 - 113010

ER -