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Simple and compact expressions for neutrino oscillation probabilities in matter

机译:有关中微子振荡概率的简单和紧凑的表达

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A bstract We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Δ m _(2) scales. Unlike previous works, we use a renormalized basis in which certain first-order effects are taken into account in the zeroth-order Hamiltonian. We show that the new framework has an exceptional feature that leads to the neutrino oscillation probability in matter with the same structure as in vacuum to first order in the expansion parameter. It facilitates immediate physical interpretation of the formulas, and makes the expressions for the neutrino oscillation probabilities extremely simple and compact. We find, for example, that the ν ~( e ) disappearance probability at this order is of a simple two-flavor form with an appropriately identified mixing angle and Δ m _(2). More generally, all the oscillation probabilities can be written in the universal form with the channel-discrimination coefficient of 0 , ± 1 or simple functions of θ ~(23). Despite their simple forms they include all order effects of θ ~(13) and all order effects of the matter potential, to first order in our expansion parameter.
机译:一种Bstract,我们以与太阳比与大气δM_(2)尺度的比例相关的扩展参数,为中微子振荡的扰动理论重构了中微子振荡的扰动理论。与以前的作品不同,我们使用一个重整化的基础,其中在Zeroth哈尔顿人中考虑了某些一阶效果。我们表明,新框架具有出色的特征,其在膨胀参数中具有与真空相同的结构,以与第一顺序相同的结构,导致中微子振荡概率。它有助于立即对公式进行物理解释,并使表达式用于中微子振荡概率极其简单和紧凑。例如,我们发现该顺序的ν〜(e)消失概率是一种简单的双味形式,具有适当识别的混合角度和δm_(2)。更一般地,所有振荡概率都可以以普通形式写入θ〜(23)的频道辨率系数的通用形式。尽管他们简单的形式,但它们包括θ〜(13)的所有订单效应以及事务潜力的所有订单效应,在我们的扩展参数中的第一顺序。

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