555 research outputs found
Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries
We discussed the scenario that a discrete flavor group combined with CP
symmetry is broken to in both neutrino and charged lepton
sectors. All lepton mixing angles and CP violation phases are predicted to
depend on two free parameters and varying in the
range of . As an example, we comprehensively study the lepton mixing
patterns which can be derived from the flavor group and CP
symmetry. Three kinds of phenomenologically viable lepton mixing matrices are
obtained up to row and column permutations. We further extend this approach to
the quark sector. The precisely measured quark mixing angles and CP invariant
can be accommodated for certain values of the free parameters and
. A simultaneous description of quark and lepton flavor mixing
structures can be achieved from a common flavor group and CP,
and accordingly the smallest value of the group index is .Comment: 40 pages, 8 figure
Quantum Game with Restricted Matrix Strategies
We study a quantum game played by two players with restricted multiple
strategies. It is found that in this restricted quantum game Nash equilibrium
does not always exist when the initial state is entangled. At the same time, we
find that when Nash equilibrium exists the pay off function is usually
different from that in the classical counterpart except in some special cases.
This presents an explicit example where quantum game and classical game may
differ. When designing a quantum game with limited strategies, the allowed
strategy should be carefully chosen according to the type of initial state.Comment: 5 pages and 3 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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