Large-Theta(13) Perturbation Theory of Neutrino Oscillation
Large-Theta(13) Perturbation Theory of Neutrino Oscillation
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中微子振荡的大Theta(13)微扰理论
DOI：
10.1007/jhep06(2011)022
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
H. Minakata
中科院分区：
文献类型：
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作者：
H. Minakata
Cervera等人的公式是长基线实验中最著名的中微子振荡概率近似公式，它可以看作是具有小膨胀参数的二阶微扰公式≡∆m 2 21∆m 2 31≃0。03在21假设下s 13≃λ。如果θ 13很大，就像在T2K的一个候选ν e事件以及最近的全球分析所表明的那样，为了更好的准确性，需要对公式进行更高阶的s 13修正。我们系统地计算了以θ 13为的微扰框架，保证了它在小于Chooz极限的θ 13范围内的有效性。我们在一般的基础上证明，校正项必须是阶为λ 2的。然而，它们很好地填补了低能量和相对较长的基线下近似和精确公式之间的不匹配。推导出了有助于更好地理解振荡概率的δ依赖性的一般定理。讨论了大θ 13假设的一些有趣的含义。
The Cervera et al. formula, the best known approximate formula of neutrino oscillation probability for long-baseline experiments, can be regarded as a second-order perturbative formula with small expansion parameter ϵ≡∆ m 2 21∆ m 2 31≃ 0. 03 under the 21assumption s 13≃ ϵ. If θ 13 is large, as suggested by a candidate ν e event at T2K as well as the recent global analyses, higher order corrections of s 13 to the formula would be needed for better accuracy. We compute the corrections systematically by formulating a perturbative framework by taking θ 13 as, which guarantees its validity in a wide range of θ 13 below the Chooz limit. We show on general ground that the correction terms must be of order ϵ 2. Yet, they nicely fill the mismatch between the approximate and the exact formulas at low energies and relatively long baselines. General theorems are derived which serve for better understanding of δ-dependence of the oscillation probability. Some interesting implications of the large θ 13 hypothesis are discussed.
通过具有不同基线的两个相同探测器解析中微子质量等级和 CP 简并性
DOI：
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发表时间：
2005
期刊：
Physical Review D 24
影响因子：
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作者：
M.Ishitsuka;T.Kajita;H.Minakata;H.Nunokawa
通讯作者：
H.Nunokawa