skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: New simple A{sub 4} neutrino model for nonzero {theta}{sub 13} and large {delta}{sub CP}

Abstract

In a new simple application of the non-Abelian discrete symmetry A{sub 4} to charged-lepton and neutrino mass matrices, we show that for the current experimental central value of sin{sup 2} 2{theta}{sub 13} Asymptotically-Equal-To 0.1, leptonic CP violation is necessarily large, i.e. Double-Vertical-Line tan{delta}{sub CP} Double-Vertical-Line > 1.3. We also consider T{sub 7} model with one parameter to be complex, thus allowing for one Dirac CP phase {delta}{sub CP} and two Majorana CP phases {alpha}{sub 1,2}. We find a slight modification to this correlation as a function of {delta}{sub CP}. For a given set of input values of {Delta}m{sup 2}{sub 21}, {Delta}m{sup 2}{sub 32}, {theta}{sub 12}, and {theta}{sub 13}, we obtain sin{sup 2} 2{theta}{sub 23} and m{sub ee} (the effective Majorana neutrino mass in neutrinoless double beta decay) as functions of tan {delta}{sub CP}. We find that the structure of this model always yields small Double-Vertical-Line tan {delta}{sub CP} Double-Vertical-Line .

Authors:
 [1]
  1. Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)
Publication Date:
OSTI Identifier:
22118515
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1534; Journal Issue: 1; Conference: CETUP 2012: Workshop on dark matter, unification and neutrino physics, Lead-Deadwood, SD (United States), 10 Jul - 1 Aug 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRELATIONS; CP INVARIANCE; DIRAC EQUATION; DOUBLE BETA DECAY; GAUGE INVARIANCE; MATRICES; NEUTRINO OSCILLATION; NEUTRINOS; PARTICLE MODELS; QUANTUM FIELD THEORY; REST MASS; SYMMETRY

Citation Formats

Ishimori, Hajime. New simple A{sub 4} neutrino model for nonzero {theta}{sub 13} and large {delta}{sub CP}. United States: N. p., 2013. Web. doi:10.1063/1.4807366.
Ishimori, Hajime. New simple A{sub 4} neutrino model for nonzero {theta}{sub 13} and large {delta}{sub CP}. United States. doi:10.1063/1.4807366.
Ishimori, Hajime. Thu . "New simple A{sub 4} neutrino model for nonzero {theta}{sub 13} and large {delta}{sub CP}". United States. doi:10.1063/1.4807366.
@article{osti_22118515,
title = {New simple A{sub 4} neutrino model for nonzero {theta}{sub 13} and large {delta}{sub CP}},
author = {Ishimori, Hajime},
abstractNote = {In a new simple application of the non-Abelian discrete symmetry A{sub 4} to charged-lepton and neutrino mass matrices, we show that for the current experimental central value of sin{sup 2} 2{theta}{sub 13} Asymptotically-Equal-To 0.1, leptonic CP violation is necessarily large, i.e. Double-Vertical-Line tan{delta}{sub CP} Double-Vertical-Line > 1.3. We also consider T{sub 7} model with one parameter to be complex, thus allowing for one Dirac CP phase {delta}{sub CP} and two Majorana CP phases {alpha}{sub 1,2}. We find a slight modification to this correlation as a function of {delta}{sub CP}. For a given set of input values of {Delta}m{sup 2}{sub 21}, {Delta}m{sup 2}{sub 32}, {theta}{sub 12}, and {theta}{sub 13}, we obtain sin{sup 2} 2{theta}{sub 23} and m{sub ee} (the effective Majorana neutrino mass in neutrinoless double beta decay) as functions of tan {delta}{sub CP}. We find that the structure of this model always yields small Double-Vertical-Line tan {delta}{sub CP} Double-Vertical-Line .},
doi = {10.1063/1.4807366},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1534,
place = {United States},
year = {Thu May 23 00:00:00 EDT 2013},
month = {Thu May 23 00:00:00 EDT 2013}
}