Hierarchical structure of fermion masses and mixings

Summary, in English

We examine patterns where ratios of the fermion masses and the W-boson mass (x_i= m_i m_w) are proportional to powers of a small parameter λ(x_i=c_iλ^Pi). For a simple estimate of the uncertainty in the coefficients c_i we determine the allowed values of P_i and the corresponding range of λ. Using this information we search for realistic patterns in a large class of anomaly-free SU(3)×SU(2)×U(1)×U(1) models where λ is related to a symmetry breaking scale and the P_i follow from the quantum numbers. No realistic model is found. In contrast, realistic mass patterns can be induced from an anomalous U(1) symmetry.

• Author: Johan Bijnens; Christof Wetterich
• Publishing year: 1987-12-31
• Language: English
• Pages: 525-530
• Publication/Series: Physics Letters B
• Volume: 199
• Issue: 4
• Links: http://dx.doi.org/10.1016/0370-2693(87)91621-2
• Document type: Journal article
• Publisher: Elsevier
• Topic: Subatomic Physics
• Status: Published
• ISBN/ISSN/Other: ISSN: 0370-2693