Constraining a type I seesaw model with A4 flavor symmetry from neutrino data and leptogenesis

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 sigma values of neutrino oscillation parameters keeping the presently undetermined parameters, namely, the lightest neutrino mass m(lightest), one Dirac CP phase delta, and two Majorana phases alpha, 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(lightest), delta, alpha, 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.