Publications (4)20.1 Total impact
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ABSTRACT: In a class of supersymmetric flavor models predictions are based on residual symmetries of some subsectors of the theory such as those of the charged leptons and neutrinos. However, the vacuum expectation values of the socalled flavon fields generally modify the K\"ahler potential of the setting, thus changing the predictions. We derive simple analytic formulae that allow us to understand the impact of these corrections on the predictions for the masses and mixing parameters. Furthermore, we discuss the effects on the vacuum alignment and on flavor changing neutral currents. Our results can also be applied to nonsupersymmetric flavor models.  [Show abstract] [Hide abstract]
ABSTRACT: We discuss the predictive power of supersymmetric models with flavor symmetries, focusing on the lepton sector of the standard model. In particular, we comment on schemes in which, after certain `flavons' acquire their vacuum expectation values (VEVs), the charged lepton Yukawa couplings and the neutrino mass matrix appear to have certain residual symmetries. In most analyses, only corrections to the holomorphic superpotential from higherdimensional operators are considered (for instance, in order to generate a realistic $\theta_{13}$ mixing angle). In general, however, the flavon VEVs also modify the K\"ahler potential and, therefore, the model predictions. We show that these corrections to the naive results can be sizable. Furthermore, we present simple analytic formulae that allow us to understand the impact of these corrections on the predictions for the masses and mixing parameters. 
Article: The μ term and neutrino masses
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ABSTRACT: The wellknown GiudiceMasiero mechanism explains the presence of a mu term of the order of the gravitino mass, but does not explain why the holomorphic mass term is absent in the superpotential. We discuss anomalyfree discrete symmetries which are both compatible with SU(5) unification of matter and the GiudiceMasiero mechanism, i.e. forbid the mu term in the superpotential while allowing the necessary Kaehler potential term. We find that these are Z_M^R symmetries with the following properties: (i) M is a multiple of four; (ii) the Higgs bilinear H_u H_d transforms trivially; (iii) the superspace coordinate theta has charge M/4 and, accordingly, the superpotential has charge M/2; (iv) dimension five proton decay operators are automatically absent. All Z_M^R symmetries are anomalyfree due to a nontrivial transformation of a GreenSchwarz axion, and, as a consequence, a holomorphic mu term appears at the nonperturbative level. There is a unique symmetry that is consistent with the Weinberg operator while there is a class of Z_M^R symmetries which explain suppressed Dirac neutrino masses.  [Show abstract] [Hide abstract]
ABSTRACT: We discuss, using the Hilbert basis method, how to efficiently construct a complete basis for Dflat directions in supersymmetric Abelian and nonAbelian gauge theories. We extend the method to discrete (R and nonR) symmetries. This facilitates the construction of a basis of all superpotential terms in a theory with given symmetries.
Publication Stats
34  Citations  
20.10  Total Impact Points  
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Institutions

20122013

Technische Universität München
 Faculty of Physics
München, Bavaria, Germany
