Constraints on flavor neutrino masses and sin{sup 2}2{theta}{sub 12}>>sin{sup 2}{theta}{sub 13} in neutrino oscillations

Journal Article · Fri Apr 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.075011· OSTI ID:20709010

Aizawa, Ichiro; Kitabayashi, Teruyuki; Yasue, Masaki ^[1]

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1. Department of Physics, Tokai University, 1117 Kitakaname, Hiratsuka, Kanagawa 259-1291 (Japan)

To realize the condition of sin{sup 2}2{theta}{sub 12}>>sin{sup 2}{theta}{sub 13}, we find constraints on flavor neutrino masses M{sub ij} (ij=e,{mu},{tau}): (C1) c{sub 23}{sup 2}M{sub {mu}}{sub {mu}}+s{sub 23}{sup 2}M{sub {tau}}{sub {tau}}{approx_equal}2s{sub 23}c{sub 23}M{sub {mu}}{sub {tau}}+M{sub ee} and/or (C2) vertical bar c{sub 23}M{sub e{mu}}-s{sub 23}M{sub e{tau}} vertical bar >> vertical bar s{sub 23}M{sub e{mu}}+c{sub 23}M{sub e{tau}} vertical bar, where c{sub 23}=cos{theta}{sub 23} (s{sub 23}=sin{theta}{sub 23}) and {theta}{sub 12}, {theta}{sub 13}, and {theta}{sub 23} are the mixing angles for three flavor neutrinos. The applicability of (C1) and (C2) is examined in models with one massless neutrino and two massive neutrinos suggested by det(M)=0, where M is a mass matrix constructed from M{sub ij} (i,j=e,{mu},{tau}). To make definite predictions on neutrino masses and mixings, especially on sin{theta}{sub 13}, that enable us to trace (C1) and (C2), M is assumed to possess texture zeros or to be constrained by textures with M{sub {mu}}{sub {mu}}=M{sub {tau}}{sub {tau}} or M{sub e{tau}}={+-}M{sub e{mu}}, which turn out to ensure the emergence of the maximal atmospheric neutrino mixing at sin{theta}{sub 13}{yields}0. It is found that (C1) is used by textures such as M{sub e{mu}}=0 or M{sub e{tau}}=0, while (C2) is used by textures such as M{sub e{tau}}={+-}M{sub e{mu}}.

• OSTI ID: 20709010
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRON NEUTRINOS
FLAVOR MODEL
MIXING
MUON NEUTRINOS
NEUTRINO OSCILLATION
REST MASS
STANDARD MODEL
TAU NEUTRINOS
WEINBERG ANGLE