论文标题
通过并行搜索$μ^ - \ to e^+$和$μ^ - \ to e^ - $ in Muonic Atoms中的耦合模式确定耦合模式
Determination of coupling patterns by parallel searches for $μ^-\to e^+$ and $μ^-\to e^-$ in muonic atoms
论文作者
论文摘要
我们调查了$μ^ - \ to e^+$转换之前的可能性，在$μ^ - \到e^ - $转换之前，及其对新物理搜索的影响。我们专注于特定模型，包括$ su（2）_l $ doublet-和singlet型标量Leptoquarks的混合，这不仅引起了Lepton风味违规，还引起了Lepton数量的违规。这种结构是由违反R-Parity（RPV）超对称模型的动机，其中Sbottom介导了转化过程。我们以类似于Muonic Atom中的MUON捕获来制定$μ^ - \至E^+$率，并使用几个目标核对其进行数值评估。 Pion衰减的Lepton风味通用测试直接将$μ^ - \限制为e^+$ rate，并且在RPV参数的各种界限下，最大允许的$μ^ - \ to e^+$分支比为$ \ sim 10^{ - 18} $。我们表明，在不久的将来的实验中，可以发现$μ^ - \ to e^ - $或$μ^ - \ to e^+$信号。这表明对这些转换的并行搜索将为我们提供有关耦合常数模式的重要信息。
We investigate a possibility that the $μ^-\to e^+$ conversion is discovered prior to the $μ^-\to e^-$ conversion, and its implications to the new physics search. We focus on the specific model including the mixing of the $SU(2)_L$ doublet- and singlet-type scalar leptoquarks, which induces not only the lepton flavor violation but also the lepton number violation. Such a structure is motivated by R-parity violating (RPV) supersymmetric models, where a sbottom mediates the conversion processes. We formulate the $μ^-\to e^+$ rate in analogy with the muon capture in a muonic atom, and numerically evaluate it using several target nuclei. The lepton flavor universality test of pion decay directly limits the $μ^-\to e^+$ rate, and the maximally allowed $μ^-\to e^+$ branching ratio is $\sim 10^{-18}$ under the various bounds on RPV parameters. We show that either $μ^-\to e^-$ or $μ^-\to e^+$ signals can be discovered in near future experiments. This indicates that parallel searches for these conversions will give us significant information on the pattern of coupling constants.
