Abstract
We review and investigate lepton flavor models, stemming from discrete non- Abelian flavor symmetries, described by one or two free model parameters. First, we confront eleven one- and seven two-parameter models with current results on leptonic mixing angles from global fits to neutrino oscillation data. We find that five of the one- and five of the two-parameter models survive the confrontation test at 3σ. Second, we investigate how these ten one- and two-parameter lepton flavor models may be discriminated at the proposed ESSnuSB experiment in Sweden. We show that the three one-parameter models that predict sin δCP = 0 can be distinguished from those two that predict | sin δCP| = 1 by at least 7σ. Finally, we find that three of the five one-parameter models can be excluded by at least 5σ and two of the one-parameter as well as at most two of the five two-parameter models can be excluded by at least 3σ with ESSnuSB if the true values of the leptonic mixing parameters remain close to the present best-fit values.
Highlights
The predictions and sum rules for the leptonic mixing angles and the Dirac CPV phase can be tested at current and, most importantly, future neutrino oscillation experiments [40,41,42,43,44,45,46,47,48,49,50]
We review and investigate lepton flavor models, stemming from discrete nonAbelian flavor symmetries, described by one or two free model parameters
The ESSnuSB experiment [62, 63] is a future LBL facility proposed to be built in Sweden that will significantly improve the precision on the leptonic Dirac CPV phase δCP
Summary
In the discrete symmetry approach to lepton flavor, it is assumed that at energies higher than a certain scale Λ, there exists a flavor symmetry described by a discrete non-Abelian group Gf. The group needs to be non-Abelian, since only in this case, it has multidimensional (in particular, three-dimensional) irreducible representations to which three lepton SU(2)L doublets can be assigned. The group needs to be non-Abelian, since only in this case, it has multidimensional (in particular, three-dimensional) irreducible representations to which three lepton SU(2)L doublets can be assigned This in turn allows for predictions of the leptonic mixing matrix The form of the leptonic mixing matrix given by UPMNS = Ue†Uν (2.3). It can further be shown that depending on Ge and Gν the leptonic mixing matrix is either completely fixed (up to permutations of rows and columns and external phases) or predicted to depend on a number of free parameters. We classify them according to the number of free parameters entering the predicted form of UPMNS
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