Mass hierarchies from anomalies: A peek behind the Planck curtain
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 occurs through the Green-Schwarz mechanism. An important check of this idea is that it links the Weinberg angle to a mass ration 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. 16 refs., 2 tabs.
- Research Organization:
- Florida Univ., Gainesville, FL (United States). Dept. of Physics and Astronomy
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG05-86ER40272
- OSTI ID:
- 228511
- Report Number(s):
- DOE/ER/40272--251; UFIFT-HEP--96-10; ON: DE96010584
- Country of Publication:
- United States
- Language:
- English
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