论文标题
无菌中微子：物质传播和对无菌质量排序的敏感性
Sterile Neutrinos: Propagation in Matter and Sensitivity to Sterile Mass Ordering
论文作者
论文摘要
我们通过分析计算中微子转换概率$ p_ {μe} $在存在无菌中微子的情况下，完全依赖于$Δm^2_ {41} $，并明确包括物质效应。使用小参数的扰动扩展，涉及小混合角$θ_{24} $和$θ_{34} $的术语可以分开，而仅由于物质效应而产生的$θ_{34} $依赖性。我们以$ \ sin（x）/x $的数量来表达$ p_ {μe} $，这有助于阐明其对物质效应的依赖性和$δm^2_ {41} $ values的广泛范围。我们的分析表达式使我们能够在像Dune这样的长基线实验下预测$ΔM^2_ {41} $的符号的影响。我们从数值上计算了沙丘对无菌质量排序的敏感性，并发现此灵敏度在$ |δm^2_ {41} |的范围内可能很重要。 \ sim（10^{ - 4} -10^{ - 2}）$ ev $^2 $，用于主动中微子的任何批量订购。对于所有质量排序组合，可以通过研究由于无菌扇区与物质效应之间的相互作用而出现的类似共振的术语来解释这种敏感性对所有质量排序组合的$Δm^2_ {41} $的依赖性。
We analytically calculate the neutrino conversion probability $P_{μe}$ in the presence of sterile neutrinos, with exact dependence on $Δm^2_{41}$ and with matter effects explicitly included. Using perturbative expansion in small parameters, the terms involving the small mixing angles $θ_{24}$ and $θ_{34}$ can be separated out, with $θ_{34}$ dependence only arising due to matter effects. We express $P_{μe}$ in terms of the quantities of the form $\sin(x)/x$, which helps in elucidating its dependence on matter effects and a wide range of $Δm^2_{41}$ values. Our analytic expressions allow us to predict the effects of the sign of $Δm^2_{41}$ at a long baseline experiment like DUNE. We numerically calculate the sensitivity of DUNE to the sterile mass ordering and find that this sensitivity can be significant in the range $|Δm^2_{41}| \sim (10^{-4} - 10^{-2})$ eV$^2$, for either mass ordering of active neutrinos. The dependence of this sensitivity on the value of $Δm^2_{41}$ for all mass ordering combinations can be explained by investigating the resonance-like terms appearing due to the interplay between the sterile sector and matter effects.
