Dynamical mass matrices from effective superstring theories

Abstract

We analyze the general structure of the fermion mass matrices in effective superstrings. They are generically given at low energy by non-trivial functions of the gauge singlet moduli fields. Interesting structures appear in particular if they are homogeneous functions of zero degree in the moduli. In this case we find Yukawa matrices very similar to the ones obtained by imposing a $U(1)$ family symmetry to reproduce the observed hierarchy of masses and mixing angles. The role of the $U(1)$ symmetry is played here by the modular symmetry. Explicit orbifold examples are given where realistic quark mass matrices can be obtained. Finally, a complete scenario is proposed which generates the observed hierarchies in a dynamical way.

27 pages, latex, no figures

References in corpus (7)

• Fermion masses and mixing angles from gauge symmetries
• Yukawa Textures and Anomalies
• Mass formulae and natural hierarchy in string effective supergravities
• Constraints on non-universal soft terms from flavor changing neutral currents
• Towards a dynamical determination of parameters in the Minimal Supersymmetric Standard Model
• Fermion mass hierarchies in low energy supergravity and superstring models
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• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
• Yukawa interactions, flavor symmetry, and non-canonical Kähler potential
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• Chasing after flavor symmetries of quarks from bottom up
• A bottom-up approach to fermion mass hierarchy: a case with vector-like fermions