# 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:

- 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}

}