2,764 research outputs found
A minimal modular invariant neutrino model
We present a neutrino mass model based on modular symmetry with the fewest
input parameters to date, which successfully accounts for the 12 lepton masses
and mixing parameters through 6 real free parameters including the modulus. The
neutrino masses are predicted to be normal ordering, the atmospheric angle
is quite close to maximal value and the Dirac CP phase
is about . We also study the soft supersymmetry breaking
terms due to the modulus -term in this minimal model, which are constrained
to be the non-holomorphic modular forms. The radiative lepton flavor violation
process is discussed.Comment: 24 pages, 4 figure
Modular symmetry origin of texture zeros and quark lepton unification
The even weight modular forms of level can be arranged into the common
irreducible representations of the inhomogeneous finite modular group
and the homogeneous finite modular group which is the
double covering of , and the odd weight modular forms of level
transform in the new representations of . We find that the above
structure of modular forms can naturally generate texture zeros of the fermion
mass matrices if we properly assign the representations and weights of the
matter fields under the modular group. We perform a comprehensive analysis for
the modular symmetry. The three generations of left-handed
quarks are assumed to transform as a doublet and a singlet of , we find six
possible texture zeros structures of quark mass matrix up to row and column
permutations. We present five benchmark quark models which can produce very
good fit to the experimental data. These quark models are further extended to
include lepton sector, the resulting models can give a unified description of
both quark and lepton masses and flavor mixing simultaneously although they
contain less number of free parameters than the observables.Comment: 36 pages, 2 figur
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