Constraining a type I seesaw model withA4flavor symmetry from neutrino data and leptogenesis
| Autor: | Rupam Kalita, Debasish Borah |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Physical Review D. 92 |
| ISSN: | 1550-2368 1550-7998 |
| DOI: | 10.1103/physrevd.92.055012 |
| Popis: | We study a type I seesaw model of neutrino masses within the framework of ${A}_{4}$ flavor symmetry. Incorporating the presence of both singlet and triplet flavons under ${A}_{4}$ symmetry, we construct the leptonic mass matrices involved in the type I seesaw mechanism. We then construct the light neutrino mass matrix using the $3\ensuremath{\sigma}$ values of neutrino oscillation parameters keeping the presently undetermined parameters, namely, the lightest neutrino mass ${m}_{\text{lightest}}$, one Dirac CP phase $\ensuremath{\delta}$, and two Majorana phases $\ensuremath{\alpha},\ensuremath{\beta}$, as free parameters. Comparing the mass matrices derived using ${A}_{4}$ parameters as well as light neutrino parameters, we then evaluate all the ${A}_{4}$ parameters in terms of light neutrino parameters. Assuming some specific vacuum alignments of the ${A}_{4}$ triplet flavon field, we then numerically evaluate all the free parameters in the light neutrino sector, using them to find out the remaining ${A}_{4}$ parameters. We then use the numerical values of these parameters to calculate baryon asymmetry through the mechanism of leptogenesis. We constrain not only the ${A}_{4}$ vacuum alignments from the requirement of successful leptogenesis, but also the free parameters in the light neutrino sector $({m}_{\text{lightest}},\ensuremath{\delta},\ensuremath{\alpha},\ensuremath{\beta})$ to a certain range of values. These values can be tested in ongoing and future neutrino experiments, providing a way to discriminate between different possible ${A}_{4}$ vacuum alignments discussed in this work. |
| Databáze: | OpenAIRE |
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