Yukawa matrices from a spontaneously broken abelian symmetry
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 phenome...
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Published in | Physics letters. B Vol. 356; no. 1; pp. 45 - 55 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
10.08.1995
|
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 0370-2693 1873-2445 |
DOI: | 10.1016/0370-2693(95)00795-M |