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arXiv 1808.09453hep-ph
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物质中的有效$Δm^2_{ee}$

The Effective $Δm^2_{ee}$ in Matter

Peter B. Denton, Stephen J. Parke

摘要:

在本文中,我们推广的概念,一个有效的$Δm^2_{ee}$的$ν_e/\barν_e$消失的实验,这已被广泛使用的短基线反应堆实验,包括通过物质的传播较长的基线$ν_e/\barν_e$消失实验的影响。这种推广是物质中中微子质量平方本征值的平凡线性组合,因此不是通常真空表达式的简单扩展,尽管它必须简化为真空极限下的正确表达式。我们还证明了物质中的有效$Δm^2_{ee}$在概念上和数值上对于理解物质中中微子质量平方本征态的形式和计算物质振荡几率是非常有用的。最后,我们分析估计这种两味方法的精度和数值验证,它是精确的子百分比的水平。

英文摘要:

In this paper we generalize the concept of an effective $Δm^2_{ee}$ for $ν_e/\barν_e$ disappearance experiments, which has been extensively used by the short baseline reactor experiments, to include the effects of propagation through matter for longer baseline $ν_e/\barν_e$ disappearance experiments. This generalization is a trivial, linear combination of the neutrino mass squared eigenvalues in matter and thus is not a simple extension of the usually vacuum expression, although, as it must, it reduces to the correct expression in the vacuum limit. We also demonstrated that the effective $Δm^2_{ee}$ in matter is very useful conceptually and numerically for understanding the form of the neutrino mass squared eigenstates in matter and hence for calculating the matter oscillation probabilities. Finally we analytically estimate the precision of this two-flavor approach and numerically verify that it is precise at the sub-percent level.

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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