#### Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with μτ-flavored CP symmetry

Journal of High Energy Physics
March 2019, 2019:81 | Cite as
Phenomenological implications of the Friedberg-Lee transformation in a neutrino mass model with μτ-flavored CP symmetry
AuthorsAuthors and affiliations
Roopam SinhaSukannya BhattacharyaRome Samanta
Open Access
Regular Article - Theoretical Physics
First Online: 14 March 2019
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Abstract
We propose a neutrino mass model with μτ-flavored CP symmetry, where the effective light neutrino Lagrangian enjoys an additional invariance under a Friedberg-Lee (FL) transformation on the left-handed flavor neutrino fields that leads to a highly predictive and testable scenario. While both types of the light neutrino mass ordering, i.e., Normal Ordering (NO) as well as the Inverted Ordering (IO) are allowed, the absolute scale of neutrino masses is fixed by the vanishing determinant of light Majorana neutrino mass matrix Mν. We show that for both types of mass ordering, whilst the atmospheric mixing angle θ23 is in general nonmaximal (θ23 ≠ π/4), the Dirac CP phase δ is exactly maximal (δ = π/2, 3π/2) for IO and nearly maximal for NO owing to cos δ ∝ sin θ13. For the NO, very tiny nonvanishing Majorana CP violation might appear through one of the Majorana phases β; otherwise the model predicts vanishing Majorana CP violation. Thus, despite the fact, that from the measurement of θ23, it is difficult to rule out the model, any large deviation of δ from its maximality, will surely falsify the scenario. For a comprehensive numerical analysis, beside fitting the neutrino oscillation global fit data, we also present a study on the νμ → νe oscillation which is expected to show up Dirac CP violation in different long baseline experiments. Finally, assuming purely astrophysical sources, we calculate the Ultra High Energy (UHE) neutrino flavor flux ratios at neutrino telescopes, such as IceCube, from which statements on the octant of θ23 could be made in our model.
Keywords CP violation Neutrino Physics
ArXiv ePrint: 1810.05391
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Copyright information
© The Author(s) 2019
Authors and Affiliations
Roopam Sinha1Email authorSukannya Bhattacharya1Rome Samanta21.Saha Institute of Nuclear Physics, HBNIKolkataIndia2.Physics and AstronomyUniversity of SouthamptonSouthamptonU.K.