Predicting Leptonic CP phase by considering deviations in charged lepton and neutrino sectors

Abstract

Recently, the reactor mixing angle ${\theta }_{13}$ has been measured precisely by Daya Bay, RENO and T2K experiments with a moderately large value. However, the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal, golden ratio of types A and B, hexagonal etc., which are based on certain flavor symmetries, predict vanishing ${\theta }_{13}$. Using the fact that the neutrino mixing matrix can be represented as $V_{\mathrm{PMNS}}=U_l^{†}{U}_{\nu }{P}_{\nu }$, where $U_l$ and $U_{\nu }$ result from the diagonalization of the charged lepton and neutrino mass matrices and $P_{\nu }$ is a diagonal matrix containing Majorana phases, we explore the possibility of accounting for the large reactor mixing angle by considering deviations both in the charged lepton and neutrino sector. In the charged lepton sector we consider the deviation as an additional rotation in the (12) and (13) planes, whereas in neutrino sector we consider deviations to various neutrino mixing patterns through (13) and (23) rotations. We find that with the inclusion of these deviations it is possible to accommodate the observed large reactor mixing angle ${\theta }_{13}$, and one can also obtain limits on the CP violating Dirac phase ${\delta }_{CP}$ and Jarlskog invariant $J_{CP}$ for most of the cases. We then explore whether our findings can be tested in the currently running NO$\nu$A experiment with 3 years of data taking in neutrino mode followed by 3 years with anti-neutrino mode.

23 pages, 5 figures, revised version, to appear in New Journal of Physics

References in corpus (19)

• Observation of electron-antineutrino disappearance at Daya Bay
• New features in the simulation of neutrino oscillation experiments with GLoBES 3.0
• Global status of neutrino oscillation parameters after Neutrino-2012
• Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
• Global fit to three neutrino mixing: critical look at present precision
• Neutrino oscillations refitted
• Status of three-neutrino oscillation parameters, circa 2013
• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• The golden ratio prediction for the solar neutrino mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Golden Ratio Prediction for Solar Neutrino Mixing
• Predicting the Values of the Leptonic CP Violation Phases
• U_{PMNS} = U_ell^dagger U_nu
• Octahedral Symmetry with Geometrical Breaking: New Prediction for Neutrino Mixing Angle theta_{13} and CP Violation
• Potential of optimized NOvA for large theta(13) & combined performance with a LArTPC & T2K
• Large U_{e3} and Tri-bimaximal Mixing
• Revisiting the sensitivity studies for leptonic CP violation and mass hierarchy with T2K, NOvA and LBNE experiments
• Neutrino Oscillation Observables from Mass Matrix Structure

Cited by in corpus (12)

• $A_4$ realization of Linear Seesaw and Neutrino Phenomenology
• Addressing Neutrino Mixing Models with DUNE and T2HK
• Scotogenic dark matter and single-zero textures of the neutrino mass matrix
• Modifications to the neutrino mixing from the mu-tau reflection symmetry
• Parametrization of the Yukawa matrix in the scotogenic model and single-zero textures of the neutrino mass matrix
• Implications of Fermionic Dark Matter on recent neutrino oscillation data
• Leptonic CP phases near the $\mu -\tau$ symmetric limit
• Perturbation to TBM mixing and its phenomenological implications
• Deviations to Tri-Bi-Maximal mixing in the limit of $\mu -\tau$ symmetry
• Restricting Majorana phases in the Tri-Bi-Maximal limit
• Reactor and Atmospheric Neutrino Mixing Angles' Correlation as a Probe for New Physics
• $A_4$ realization of left-right symmetric linear seesaw