Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/11/036
Keywords
Cosmology of Theories beyond the SM; Neutrino Physics; CP violation; Discrete and Finite Symmetries
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We study the interplay between flavor symmetries and leptogenesis in the case when the scale of flavor symmetry breaking is higher than the scale at which lepton number is violated. We show that when the heavy Majorana neutrinos belong to an irreducible representation of the flavor group, all the leptogenesis CP asymmetries vanish in the limit of exact symmetry. In the case of reducible representations we identify a general condition that, if satisfied, guarantees the same result. We then focus on the case of a model in which an A(4) flavor symmetry yields a drastic reduction in the number of free parameters, implying that at leading order several quantities are only a function of the lightest neutrino mass m(l), which in turn is strongly constrained. For normal ordering (NO) we find m(l) similar or equal to (0.0044 divided by 0.0056) eV while for inverted ordering (IO) m(l) greater than or similar to 0.017 eV. For the 0 nu 2 beta decay parameter this yields |m(ee)| similar or equal to (0.006 divided by 0.007) eV (NO) and |m(ee)| greater than or similar to 0.017 eV (IO). We show that the leptogenesis CP asymmetries only depend on ml, on a single non-hierarchical Yukawa coupling y, and on two parameters that quantify the flavor symmetry breaking effects, and we argue that the unflavored regime for leptogenesis is strongly preferred in our model, thus realizing a rather predictive scenario. Performing a calculation of the matter-antimatter asymmetry we find that for NO the observed value is easily reproduced for natural values of the symmetry breaking parameters. For IO successful leptogenesis is possible for a limited choice of the parameters implying rather large reheating temperatures T-reh greater than or similar to 5 x 10(13) GeV.
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