Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum
  Rule   We propose a novel A4 model in which the Tri-Bimaximal (TB) neutrino mixing
and the charged lepton mass hierarchy are reproduced simultaneously. At leading
order, the residual symmetry of the neutrino sector is Z2 x Z2 which guarantees
the TB mixing without adjusting ad hoc free parameters. In the charged lepton
sector, one of the previous Z2 is maximally broken and the resulting mass
matrix is nearly diagonal and hierarchical. A natural mechanism for the
required vacuum alignment is given with the help of the supersymmetry and an
abelian symmetry factor. In our model, subleading effects which could lead to
appreciable deviations from TB mixing are very restrictive giving rise to
possible next-to-leading predictions. From an explicit example, we show that
our ``constrained'' A4 model is a natural framework, based on symmetry
principle, to incorporate the TB sum rule:
sin^2(\theta_{12})=1/3+2\sqrt{2}(cos(\delta) sin(\theta_{13})/3).

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas