Neutrino Mass Spectrum for Co-Bimaximal Mixings from Quantum Gravity

18 Aug 2019  ·  Koranga Bipin Singh Department of Physics, Kirori Mal college, University of Delhi, India ·

We consider non-renormalizable interaction term as a perturbation of the conventional neutrino mass matrix. Quantum gravitational (Planck scale )effects lead to an effective $SU(2)_L\times U(1)$ invariant dimension-5 Lagrangian involving neutrino and Higgs fields,On symmetry breaking, this operator gives rise to correction to the neutrino masses and mixing... The gravitational interaction $M_X=M_{pl}$ which gives rise to additional terms in neutrino mass matrix. We also assume that, just above the electroweak breaking scale, neutrino masses are nearly degenerate and their mixing is Co-bimaximal mixing by assuming mixing angle $\theta_{13}\neq0 = 10^{o}$, $\theta_{23}=\frac{\pi}{4}$, $\tan\theta_{12}^ 2 = \frac{1-3sin\theta_{13}^2}{2} = 34^{o}$ and Dirac phase $\delta=\pm\frac{\pi}{2}$.There additional term can be considered to be perturbation of the GUT scale Co-bimaximal neutrino mass matrix. The relation consider with solar and atmospheric neutrino oscillation data predicted above GUT scale $m_1' \simeq 0.00001eV-0.00003eV$, $m_2' \simeq 0.00008eV-0.00012$, and $m_3' \simeq 0.000207eV-000320eV$. read more

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High Energy Physics - Phenomenology