Yukawa matrices from a spontaneously broken abelian symmetry

• Published in: Physics letters. B Vol. 356; no. 1; pp. 45 - 55
• Main Authors: Dudas, E, Pokorski, S, Savoy, C.A
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 10.08.1995
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/0370-2693(95)00795-M

We classify all the phenomenologically viable fermion mass matrices coming from a spontaneously broken abelian symmetry U(1) X , with one and two additional chiral fields of opposite charges X = ±1. We find that the non-trivial Kähler metric can fill zeroes of the fermion mass matrices up to phenomenologically interesting values. A general anomaly analysis shows that for one additional chiral field the only way to achieve anomaly cancellation is by use of the Green-Schwarz mechanism. For two additional fields with X = ±1 and negative charge differences in the lepton sector the anomalies can however be directly put to zero. This case gives a unique prediction for the ratio of the two Higgs scalars of MSSM, tgβ∼ m t m b ( sinθ c) 2 , where θ c is the Cabibbo angle.