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arXiv 1107.1097hep-ph
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大θ_13四极大中微子混合的辐射修正和显式微扰

Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large theta_13

He Zhang, Shun Zhou

摘要:

四最大中微子混合模式预测了一个相对较大的反应堆混合角θ_13 \approx 8.4 \circ,这与最新的最佳拟合值θ_13 = 9 \circ非常一致。然而,其对θ_12 \approx 30.4^ \circ的预测与3 σ C. L.处的当前振荡数据不一致。我们表明,显式扰动的四最大混合可以自然地提高θ 12的最佳拟合值θ 12 = 34^ \circ。此外,我们证明,如果在高能尺度Lambda = 10^14 GeV下,四极大混合是由某种味对称性产生的,那么最小超对称标准模型中的显著辐射修正可以修改θ_12,使其与电弱尺度Lambda_EW = 10^2 GeV下的实验数据相兼容。对θ_13 \approx 8.4^ \circ和θ_23 = 45^ \circ以及CP破坏相rho = sigma = -delta = 90^ \ciic的预测,相对于辐射修正是相当稳定的。

英文摘要:

The tetra-maximal neutrino mixing pattern predicts a relatively large reactor mixing angle theta_13 \approx 8.4^\circ, which is in good agreement with the latest best-fit value theta_13 = 9^\circ. However, its prediction for theta_12 \approx 30.4^\circ is inconsistent with current oscillation data at the 3sigma C.L. We show that explicit perturbations to the tetra-maximal mixing can naturally enhance theta_12 to its best-fit value theta_12 = 34^\circ. Furthermore, we demonstrate that if the tetra-maximal mixing is produced by a certain flavor symmetry at a high-energy scale Lambda = 10^14 GeV, significant radiative corrections in the minimal supersymmetric standard model can modify theta_12 to be compatible with experimental data at the electroweak scale Lambda_EW = 10^2 GeV. The predictions for theta_13 \approx 8.4^\circ and theta_23 = 45^\circ, as well as the CP-violating phases rho = sigma = -delta = 90^\ciic, are rather stable against radiative corrections.

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