arXiv 1908.083872019-08-18hep-ph

量子引力中Co-双峰混合的中微子质量谱

Neutrino Mass Spectrum for Co-Bimaximal Mixings from Quantum Gravity

Bipin Singh Koranga

备注：: 10 pages. arXiv admin note: substantial text overlap with arXiv:1006.5553, arXiv:0810.4394
发表信息：: Int. J. Modern Theo. Physics, 2019, 8(1)

摘要：

我们把不可重整化的相互作用项看作是常规中微子质量矩阵的微扰。量子引力（Planck尺度）效应导致了一个有效的$SU(2)_L\times U(1)$不变的5维Lagrange算符，该算符涉及中微子和Higgs场，在对称性破缺时，该算符引起了对中微子质量和混合的修正。引力相互作用$M_X=M_{pl}$引起中微子质量矩阵中的附加项。通过假设混合角$θ_{13}\neq0 = 10^{o}$、$θ_{23}=\fracπ{4}$、$\tanθ_{12}^ 2 = \frac{1-3sinθ_{13}^2}{2} = 34^{o}$和Dirac相位$δ=\pm\fracπ{2}$，我们还假设在电弱破缺标度以上，中微子质量几乎简并，它们的混合是Co-双峰混合，附加项可以认为是GUT标度Co-双峰中微子质量矩阵的微扰.这种关系考虑到太阳和大气中微子振荡数据在大统一尺度$m_1' \simeq 0.00001eV-0.00003eV$、$m_2' \simeq 0.00008eV-0.00012$和$m_3' \simeq 0.000207eV-000320eV$上的预测。

英文摘要：

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 $θ_{13}\neq0 = 10^{o}$, $θ_{23}=\fracπ{4}$, $\tanθ_{12}^ 2 = \frac{1-3sinθ_{13}^2}{2} = 34^{o}$ and Dirac phase $δ=\pm\fracπ{2}$.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 $m_3' \simeq 0.000207eV-000320eV$.

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