Modular invariant lepton models at levels 4 and 5, using flavons for charged leptons and a single modulus for neutrinos, fit the data with five parameters and predict absolute neutrino masses and CP phases.
The CKM Phase in Heterotic Orbifold Models
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abstract
We consider properties of the CKM phase in the heterotic orbifold models. We find that at the renormalizable level the CKM phase vanishes identically for the prime orbifolds, whereas it can be non-zero for some non-prime orbifolds. In particular, we study in detail the Z_6-I orbifold which allows for a non-trivial CKM phase and analyze the modular properties of the corresponding Jarlskog invariant. The CKM phase is shown to vanish if the moduli fields are stabilized at Im T_i=\pm 1/2.
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Modular Invariant Models of Lepton Masses at Levels 4 and 5
Modular invariant lepton models at levels 4 and 5, using flavons for charged leptons and a single modulus for neutrinos, fit the data with five parameters and predict absolute neutrino masses and CP phases.