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      Trimaximal lepton mixing with a trivial Dirac phase

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          Abstract

          We present a model which employs the seesaw mechanism with five right-handed neutrinos, leading to trimaximal and CP-conserving lepton mixing. Tri-bimaximal mixing is a natural limiting case of our model which occurs when one particular vacuum expectation value is real and preserves the mu-tau interchange symmetry of the Lagrangian. Our model allows for leptogenesis even in the case of exact tri-bimaximal mixing.

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          Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing

          Carl H. Albright, Werner Rodejohann (2008)
          We analyze in detail the predictions of "trimaximal" neutrino mixing, which is defined by a mixing matrix with identical second column elements. This column is therefore identical to the second column in the case of tri-bimaximal mixing. We also generalize trimaximal mixing by assuming that the other rows and columns of the mixing matrix individually have the same forms as for tri-bimaximal mixing. The phenomenology of these new mixing scenarios is studied. We emphasize how trimaximal mixings can be distinguished experimentally from broken tri-bimaximal mixing.
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            A model for trimaximal lepton mixing

            L. Lavoura, W. Grimus (2008)
            We consider trimaximal lepton mixing, defined by |U_{alpha 2}|^2 = 1/3 for all alpha = e, mu, tau. This corresponds to a two-parameter lepton mixing matrix U. We present a model for the lepton sector in which trimaximal mixing is enforced by softly broken discrete symmetries; one version of the model is based on the group Delta(27). A salient feature of our model is that no vacuum alignment is required.
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              Flavor symmetries, leptogenesis and the absolute neutrino mass scale

              E Bertuzzo, E Nardi, F. Feruglio … (2009)
              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\simeq (0.0044 \div 0.0056) eV while for inverted ordering (IO) m_l\gtrsim 0.017 eV. For the 0\nu2\beta decay parameter this yields |m_{ee}|\simeq (0.006\div 0.007) eV (NO) and |m_{ee}|\gsim 0.017 eV (IO). We show that the leptogenesis CP asymmetries only depend on m_l, 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\gtrsim 5*10^13 GeV.
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                Author and article information

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                Publication date Created: 27 November 2009
                Publication date Updated: 2010-02-11
                Article
                DOI: 10.1016/j.physletb.2010.02.032
                ArXiV ID: 0911.5120
                SO-VID: 8ab5b5ae-7f7f-4d09-972f-a67128dc17be
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
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                Report No UWThPh-2009-13, CFTP/09-034
                Journal reference Phys.Lett.B686:141-145,2010
                Comments 12 pages, no figures, some clarifications and one reference added, version for publication in Phys. Lett. B
                Categories hep-ph

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