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arXiv 0809.3312hep-phhep-ex
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非标准中微子相互作用下中微子振荡的微扰理论

Perturbation Theory of Neutrino Oscillation with Nonstandard Neutrino Interactions

Takashi Kikuchi, Hisakazu Minakata, Shoichi Uchinami

摘要:

讨论了非标准相互作用下中微子振荡的各种物理性质。我们以Δm^2_{21} / Δm^2_{31},s_{13}和NSI元素ε_{αβ}(α,β= e,μ,τ)作为同阶ε的小展开参数,构造了一个微扰框架.在ε微扰理论中,我们得到了ε中的S矩阵元和二阶(ν_e相关道中为三阶)中微子振荡几率公式。该公式可以估计任意通道中任意NSI元素ε_{αbeta}对振荡几率的贡献大小,并给出了NSI下中微子振荡现象的全局鸟瞰图。本文从二阶公式出发,讨论了如何确定所有的轻子混合和NSI参数。我们的结果表明,虽然理论上可以确定ν_e扇区中的θ_{13},δ和NSI元素,但用唯率分析法不可能完全测量ν_μ- ν_τ扇区中的NSI参数。对参数确定的讨论和基于物质微扰理论的分析表明,NSI参数普遍存在参数简并性。此外,还发现了一个新的太阳-大气变量交换简并,并阐明了有无NSI时中微子振荡的一些一般性质。

英文摘要:

We discuss various physics aspects of neutrino oscillation with non-standard interactions (NSI). We formulate a perturbative framework by taking Δm^2_{21} / Δm^2_{31}, s_{13}, and the NSI elements ε_{αβ} (α, β= e, μ, τ) as small expansion parameters of the same order ε. Within the εperturbation theory we obtain the S matrix elements and the neutrino oscillation probability formula to second order (third order in ν_e related channels) in ε. The formula allows us to estimate size of the contribution of any particular NSI element ε_{αbeta} to the oscillation probability in arbitrary channels, and gives a global bird-eye view of the neutrino oscillation phenomena with NSI. Based on the second-order formula we discuss how all the conventional lepton mixing as well as NSI parameters can be determined. Our results shows that while θ_{13}, δ, and the NSI elements in ν_e sector can in principle be determined, complete measurement of the NSI parameters in the ν_μ- ν_τsector is not possible by the rate only analysis. The discussion for parameter determination and the analysis based on the matter perturbation theory indicate that the parameter degeneracy prevails with the NSI parameters. In addition, a new solar-atmospheric variable exchange degeneracy is found. Some general properties of neutrino oscillation with and without NSI are also illuminated.

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