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 -