论文标题
与无菌中微子进行CP和T-VIOLATION的amuon生存概率放大
Zoom in muon survival probability with sterile neutrino for CP and T-violation
论文作者
论文摘要
我们介绍了使用S-矩阵形式主义在物质效应的情况下，在$ 3+1 $混合方案中介绍了MUON存活概率的近似分析表达式。我们发现，所有导致MUON生存概率的单个术语可以显着降低到三个贡献。领先的订单贡献来自三种风味muon存活概率，然后是由主动 - 差异混合产生的两个子领先的贡献。此外，为了进一步简化结果，我们采用了众所周知的序列扩展关系，涉及质量层次参数$α=δm^2_ {21} /δm^2_ {31} $和混合角$ \sinθ_{13} $在消失的极限为$α^2 $中。我们讨论了来自新物理学的CP和T侵点研究的MUON生存概率的相关性。我们还比较了真空与物质贡献之间对领先顺序下的MUON存活概率的关系。最后，我们评论了各种长基线的概率行为，以了解大气中的区域和解决现有的质量层次结构问题。
We present the approximated analytic expressions for the muon survival probability in a $3+1$ mixing scenario in the presence of matter effect using the S-matrix formalism. We find that all the individual terms contributing to the muon survival probability can significantly reduce to just three contributions. The leading order contribution comes from the three flavor muon survival probability followed by the two sub-leading contributions arising from active-sterile mixing. Furthermore, to more simplify the results we adopt the well known series expansion relations about mass-hierarchy parameter $α= Δm^2_{21} / Δm^2_{31}$ and the mixing angle $\sin θ_{13}$ in the vanishing limit of $α^2$. We discuss the relevance of muon survival probability to probe the CP and T-violation studies coming from the new physics. We also compare the analytic relation between vacuum and matter contributions to the muon survival probability at the leading order. Finally, we comment on the probability behavior at the various long baselines relevant to understand the atmospheric-neutrino sector and to resolve the existing mass-hierarchy problem.
