Light-Heavy Symmetry: Geometric Mass Hierarchy for Three Families
1995
- 85Usage
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Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
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Article Description
The Universal Seesaw pattern coupled with a Light↔ Heavy symmetry principle leads to the Diophantine equation N =NXi =1ni, where ni ≥ 0 and distinct. Its unique non-trivial solution (3 = 0+1+2) gives rise to the geometric mass hierarchy mW, mWǫ, mWǫ2 for N = 3 fermion families. This is realized in a model where the hybrid (yet Up ↔ Down symmetric) quark mass relations m dmt ≈ m2 c ↔ mumb ≈ m2 s play a crucial role in expressing the CKM mixings in terms of simple mass ratios, notably sin θC ≈ m c m b . PACS numbers: 11.30.Hv, 12.10.Kt, 12.15.Ff, 12.15.Hh, 12.60.-i
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