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arXiv 2302.06168hep-ph
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宇宙学上限对黄金比例中微子混合在辐射修正下有效性的启示

Implication of cosmological upper bound on the validity of golden ratio neutrino mixings under radiative corrections

Y Monitar Singh, M Shubhakanta Singh, N Nimai Singh

AI总结:

本文研究最新宇宙学中微子质量上限对高能跷跷板能标黄金比例中微子混合有效性的影响,通过在MSSM中引入辐射修正和SUSY阈值修正,发现正常层级模型在特定参数下仍与Planck数据一致,而反层级模型仅符合较早上限,表明正常层级可能更受青睐。

摘要:

我们研究最新宇宙学对三种中微子质量之和的上限,对在高能跷跷板能标定义的黄金比例(GR)中微子混合有效性的影响,同时考虑在最小超对称标准模型(MSSM)中通过辐射修正产生低能中微子振荡参数值的可能性。本研究与最严格、最新的Planck宇宙学上限数据一致,即 $\sum |m_{i}| < 0.12$ eV。为了从高能跷跷板能标定义的精确黄金比例(GR)中微子混合矩阵辐射生成 sin$θ_{13}$,我们取相反CP宇称质量本征值($m_{1},-m_{2},m_{3}$),其中 $m_{3}$ 为非零实数值,并取较大的 $\tanβ> 60$,以便在计算中包含大的辐射修正效应。本分析包含CP破坏Dirac相位和SUSY阈值修正,表明在正常层级(NH)模型中,高能跷跷板能标定义的黄金比例中微子混合是有效的。通过对四个参数 $M_{R}$、$m_{s}$、$\tanβ$ 和 $\bar{η_{b}}$ 的变化进行数值分析,结果表明有效性的最佳结果在 $M_{R}=10^{15}$ GeV、$m_{s}=1$ TeV、$\tanβ=68$ 和 $\bar{η_{b}}=0.01$ 处获得。然而,基于反层级(IH)模型的分析不符合最新的Planck宇宙学界限数据,但仍符合较早的Planck宇宙学上限 $\sum |m_{i}|< 0.23$ eV,从而表明正常层级(NH)模型可能优于反层级(IH)模型。

英文摘要:

We study the implication of the most recent cosmological upper bound on the sum of three neutrino masses, on the validity of the golden ratio (GR) neutrino mixings defined at high energy seesaw scale, considering the possibility for generating low energy values of neutrino oscillation parameters through radiative corrections in the minimal supersymmetric standard model (MSSM). The present study is consistent with the most stringent and latest Planck data on cosmological upper bound, $\sum |m_{i}| < 0.12$ eV. For the radiative generation of sin$θ_{13}$ from an exact form of golden ratio (GR) neutrino mixing matrix defined at high seesaw energy scale, we take opposite CP parity mass eigenvalues ($m_{1},-m_{2},m_{3}$) with a non-zero real value of $m_{3}$, and a larger value of $\tanβ> 60$ in order to include large effects of radiative corrections in the calculation. The present analysis including the CP violating Dirac phase and SUSY threshold corrections, shows the validity of golden ratio neutrino mixings defined at high seesaw energy scale in the normal hierarchical (NH) model. The numerical analysis with the variations of four parameters viz. $M_{R}$, $m_{s}$, $\tanβ$ and $\bar{η_{b}}$, shows that the best result for the validity is obtained at $M_{R}=10^{15}$ GeV, $m_{s}=1$ TeV, $\tanβ=68$ and $\bar{η_{b}}=0.01$. However, the analysis based on inverted hierarchical (IH) model does not conform with this latest Planck data on cosmological bound but it still conforms with earlier Planck cosmological upper bound $\sum |m_{i}|< 0.23$ eV, thus indicating possible preference of NH over IH models.

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