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arXiv 1302.0423hep-ph
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带电轻子修正的非零|U_e3|和大气中微子混合角

Nonzero |U_e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle

David Marzocca, Serguey T. Petcov, Andrea Romanino, Maria C. Sevilla

摘要:

在成功地测定了反应堆中微子混合角θ 13 ~ 0.16 \neq 0之后,目前的中微子振荡数据显示的一个新的特点是大气中微子混合角θ 23与π/4有相当大的偏差。利用中微子混合矩阵U = U_e^ \dagger U_v,其中U_e和U_v是由带电轻子和中微子质量矩阵对角化得到的,并假定U_v有i)双峰(BM),ii)三双峰(TBM)形式,或iii)对应轻子电荷守恒L' = L_e-L_μ- L_τ(LC),我们定量地研究了U_e的最小形式,即它所包含的角和相位,它能对U_v提供必要的修正,从而使θ_13、θ_23和太阳中微子混合角θ_12具有与现有数据相一致的值。考虑了U_e中12和23次旋转的两种可能的排序,即“标准”和“逆”。我们得到的结果强烈依赖于排序的类型。在“标准”排序的情况下,特别地,存在于U中的狄拉克CP破坏相δ被预测为在i)BM(或LC)情况下的δ~ π,ii)TBM情况下的δ~ 3π/2或π/2附近的窄区间中具有值,CP守恒值δ= 0,π,2π在大于4σ的TBM情况下被排除。在附录中,我们讨论了2013年最新数据的影响。

英文摘要:

After the successful determination of the reactor neutrino mixing angle θ_13 ~ 0.16 \neq 0, a new feature suggested by the current neutrino oscillation data is a sizeable deviation of the atmospheric neutrino mixing angle θ_23 from π/4. Using the fact that the neutrino mixing matrix U = U_e^\dagger U_ν, where U_e and U_νresult from the diagonalisation of the charged lepton and neutrino mass matrices, and assuming that U_νhas a i) bimaximal (BM), ii) tri-bimaximal (TBM) form, or else iii) corresponds to the conservation of the lepton charge L' = L_e - L_μ- L_τ(LC), we investigate quantitatively what are the minimal forms of U_e, in terms of angles and phases it contains, that can provide the requisite corrections to U_νso that θ_13, θ_23 and the solar neutrino mixing angle θ_12 have values compatible with the current data. Two possible orderings of the 12 and the 23 rotations in U_e, "standard" and "inverse", are considered. The results we obtain depend strongly on the type of ordering. In the case of "standard" ordering, in particular, the Dirac CP violation phase δ, present in U, is predicted to have a value in a narrow interval around i) δ~ πin the BM (or LC) case, ii) δ~ 3π/2 or π/2 in the TBM case, the CP conserving values δ= 0, π, 2πbeing excluded in the TBM case at more than 4σ. In the addendum we discuss the implications of the latest 2013 data.

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