• Deviation from tri-bimaximal mixings through flavour twisters in inverted and normal hierarchical neutrino mass models

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      https://www.ias.ac.in/article/fulltext/pram/069/04/0533-0549

    • Keywords

       

      Inverted hierarchical mass matrix; normal hierarchical mass matrix; tribimaximal mixings, solar angle.

    • Abstract

       

      We explore a novel possibility for lowering the solar mixing angle ($\theta_{12}$) from tri-bimaximal mixings, without sacrificing the predictions of maximal atmospheric mixing angle ($\theta_{23} = 45^{\circ}$) and zero reactor angle ($\theta_{13} = 0^{\circ}$) in the inverted and normal hierarchical neutrino mass models having 2-3 symmetry. This can be done through the identification of a flavour twister term in the texture of neutrino mass matrix and the variation of such term leads to lowering of solar mixing angle. For the observed ranges of $\Delta m_{21}^{2}$ and $\Delta m_{23}^{2}$, we calculate the predictions on tan2 $\theta_{12} = 0.5, 0.45, 0.35$ for different input values of the parameters in the neutrino mass matrix. We also observe a possible transition from inverted hierarchical model having even CP parity (Type-IHA) to inverted hierarchical model having odd CP parity (Type-IHB) in the first two mass eigenvalues, when there is a change in input values of parameters in the same mass matrix. The present work differs from the conventional approaches for the deviations from tri-bimaximal mixing, where the 2-3 symmetry is broken, leading to $\theta_{23} \neq 45^{\circ}$ and $\theta_{13} \neq 0^{\circ}$.

    • Author Affiliations

       

      N Nimai Singh1 2 Monisa Rajkhowa1 3 Abhijit Borah4

      1. Department of Physics, Gauhati University, Guwahati 781 014, India
      2. Regular Associate, The Abdus Salam ICTP, 34014-Trieste, Italy
      3. Department of Physics, Science College, Jorhat 781 014, India
      4. Department of Physics, Fazl Ali College, Mokokchung 798 601, India
    • Dates

       
  • Pramana – Journal of Physics | News

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