Mass Hierarchies from Anomalies: a Peek Behind the Planck Curtain

P. Ramond

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arXiv · hep-ph/9604251

Mass Hierarchies from Anomalies: a Peek Behind the Planck Curtain

P. Ramond

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Abstract

The masses of quarks and leptons suggest a strong hierarchical structure. We argue that their patterns can be reproduced through the introduction of a new Abelian symmetry. The data suggest that this symmetry is anomalous. We suggest that the cancellation of its anomalies occur through the Green-Schwarz mechanism. An important check of this idea is that it links the Weinberg angle to a mass ratio of the elementary fermions. The Green-Schwarz mechanism occurs naturally in many superstring compactifications, and produces a small parameter, which we use to determine the quark mass hierarchy. We show that hierarchy and mixings among the chiral fermions is a consequence of the Green-Schwarz mechanism. We present several models where this idea is realized.

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P. Ramond. 1996-04-04. Mass Hierarchies from Anomalies: a Peek Behind the Planck Curtain. https://arxiv.org/abs/hep-ph/9604251

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