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arXiv 1502.02503hep-ph
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为什么中微子振荡公式在$Δm_{21}^{2}/Δm_{31}^{2}$中展开后在太阳物质共振附近仍然准确?

Why Is The Neutrino Oscillation Formula Expanded In $Δm_{21}^{2}/Δm_{31}^{2}$ Still Accurate Near The Solar Resonance In Matter?

Xun-Jie Xu

摘要:

由Cervera等人和Freund首先提出的中微子振荡的质量平方差比$α=Δm_{21}^{2}/Δm_{31}^{2}\approx0.03$的传统近似公式,在加速器中微子实验中被证明是一个精确的公式。最初,它需要中微子能量远高于太阳共振来验证膨胀,但当公式外推到共振时,发现它仍然非常准确,这对T2K实验非常重要。本文表明,准确性是保证取消的分支切奇点,也是第一次,分析计算的实际误差的公式。实际误差意味着在当前实验中可以安全地去除原始要求。

英文摘要:

The conventional approximate formula for neutrino oscillation in matter which is obtained from the expansion in terms of the ratio of mass square differences $α=Δm_{21}^{2}/Δm_{31}^{2}\approx0.03$, first proposed by Cervera, et al and Freund, turns out to be an accurate formula for accelerator neutrino experiments. Originally it required the neutrino energy to be well above the solar resonance to validate the expansion but it is found to be still very accurate when the formula is extrapolated to the resonance, which is practically important for the T2K experiment. This paper shows that the accuracy is guaranteed by cancellations of branch cut singularities and also, for the first time, analytically computes the actual error of the formula. The actual error implies that the original requirement can be safely removed in current experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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