Dynamical mass matrices from effective superstring theories

Details Dynamical mass matrices from effective superstring theories Dynamical mass matrices from effective superstring theories

1995-05-12

arxiv.org/abs/hep-ph/9505295v1

Nucl.Phys. B451 (1995) 31-52

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, latex, no figures

Scientific paper

10.1016/0550-3213(95)00345-S

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.

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