scholarly journals Discrete family symmetry, Higgs mediators and θ 13

2012 ◽  
Vol 2012 (12) ◽  
Author(s):  
Ivo de Medeiros Varzielas ◽  
Graham G. Ross
Keyword(s):  
Family Symmetry ◽  
Discrete Family

A4 SYMMETRY AND NEUTRINOS

2008 ◽  
Vol 23 (21) ◽  
pp. 3366-3370 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Family Symmetry ◽  
History Of ◽  
Discrete Family

I recount briefly the history of neutrino tribimaximal mixing and the use of the discrete family symmetry A 4 in obtaining it.

scholarly journals ANOMALY OF DISCRETE FAMILY SYMMETRIES AND GAUGE COUPLING UNIFICATION

2007 ◽  
Vol 16 (05) ◽  
pp. 1463-1478
Author(s):  
TAKESHI ARAKI
Keyword(s):  
Planck Scale ◽  
Gauge Coupling ◽  
Baryon Number ◽  
Discrete Symmetry ◽  
Lepton Number ◽  
Supersymmetric Model ◽  
Family Symmetry ◽  
Fundamental Scale ◽  
Integral Measure ◽  
Discrete Family

Anomaly of a discrete symmetry is defined as the Jacobian of the path-integral measure. Assuming that anomaly at low energy is cancelled by the Green–Schwarz (GS) mechanism at a fundamental scale, we investigate possible Kac–Moody levels for anomalous discrete family symmetries. As the first example we consider discrete abelian Baryon number and Lepton number symmetries in the minimal supersymmetric standard model with see-saw mechanism, and find that the ordinary unification of gauge couplings is not consistent with the GS conditions, indicating a possible existence of further Higgs doublets. Next we consider the recently proposed supersymmetric model with Q6 family symmetry. In this model, the GS conditions are such that the gauge coupling unification appears close to the Planck scale.

scholarly journals Discrete family symmetry from F-theory GUTs

2014 ◽  
Vol 2014 (9) ◽  
Author(s):  
Athanasios Karozas ◽  
Stephen F. King ◽  
George K. Leontaris ◽  
Andrew K. Meadowcroft
Keyword(s):  
Family Symmetry ◽  
Discrete Family

scholarly journals Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry

2007 ◽  
Vol 648 (2-3) ◽  
pp. 201-206 ◽  
Author(s):  
I. de Medeiros Varzielas ◽  
S.F. King ◽  
G.G. Ross
Keyword(s):  
Family Symmetry ◽  
Discrete Family

scholarly journals HIDING THE EXISTENCE OF A FAMILY SYMMETRY IN THE STANDARD MODEL

2005 ◽  
Vol 20 (36) ◽  
pp. 2767-2774 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Standard Model ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Higgs Sector ◽  
Higgs Doublet ◽  
Neutrino Mass Matrix ◽  
Tree Level ◽  
Family Symmetry ◽  
The Standard Model

If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are, however, three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E6 and one in SO (10). An interesting example based on SO (10)×A4 for the neutrino mass matrix is discussed.

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