TY - JOUR

T1 - Deviation of atmospheric mixing from maximal and structure in the leptonic flavor sector

AU - Gouvêa, André

N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2004

Y1 - 2004

N2 - I attempt to quantify how far from maximal one should expect the atmospheric mixing angle to be given a neutrino mass matrix that leads, at zeroth order, to a [Formula Presented] mass eigenstate that is 0% [Formula Presented] 50% [Formula Presented] and 50% [Formula Presented] This is done by assuming that the solar mass-squared difference is induced by an “anarchical” first order perturbation, an approach then can naturally lead to experimentally allowed values for all oscillation parameters. In particular, both [Formula Presented] (the measure for the deviation of atmospheric mixing from maximal) and [Formula Presented] are of order [Formula Presented] in the case of a normal neutrino mass hierarchy or of order [Formula Presented] in the case of an inverted one. Hence, if any of the textures analyzed here has anything to do with reality, next-generation neutrino experiments can see a nonzero [Formula Presented] in the case of a normal mass hierarchy, while in the case of an inverted mass hierarchy only neutrino factories should be able to see a deviation of [Formula Presented] from 1.

AB - I attempt to quantify how far from maximal one should expect the atmospheric mixing angle to be given a neutrino mass matrix that leads, at zeroth order, to a [Formula Presented] mass eigenstate that is 0% [Formula Presented] 50% [Formula Presented] and 50% [Formula Presented] This is done by assuming that the solar mass-squared difference is induced by an “anarchical” first order perturbation, an approach then can naturally lead to experimentally allowed values for all oscillation parameters. In particular, both [Formula Presented] (the measure for the deviation of atmospheric mixing from maximal) and [Formula Presented] are of order [Formula Presented] in the case of a normal neutrino mass hierarchy or of order [Formula Presented] in the case of an inverted one. Hence, if any of the textures analyzed here has anything to do with reality, next-generation neutrino experiments can see a nonzero [Formula Presented] in the case of a normal mass hierarchy, while in the case of an inverted mass hierarchy only neutrino factories should be able to see a deviation of [Formula Presented] from 1.

UR - http://www.scopus.com/inward/record.url?scp=3042634910&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042634910&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.69.093007

DO - 10.1103/PhysRevD.69.093007

M3 - Article

AN - SCOPUS:3042634910

VL - 69

SP - 12

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

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

SN - 1550-7998

IS - 9

ER -