论文标题
与Muonium至antimuonium transition相关的两极分化$μ^+$衰减中的横向正电子极化
Transverse positron polarization in the polarized $μ^+$ decay related with the muonium-to-antimuonium transition
论文作者
论文摘要
新的高强度隆隆声束线的构造正在世界各地的设施中进展,并且期望与Muons相关的新物理搜索。该设施可以观察到偏振$μ^+$衰减的横向正电子极化,以测试标准模型。 Muonium向抗膜(Mu-to- $ \ bar {\ text {mu}} $ transition)的过渡,这是模型以外的模型中有趣的可能性之一,也可以测试。对过渡的近乎想象的观察给我们带来了很大的影响,因为它表明Lepton部门存在近似离散的对称性。如果生成Mu-to-$ \ bar {\ text {Mu}} $过渡操作员,则可以存在一个新的MUON衰减操作员,并且可能会干扰标准的MUON MUON衰减操作员,以在$μ^+$ decay中诱导横向正电子极化的校正。在本文中,我们研究了Mu-to- $ \ bar {\ text {Mu}} $过渡的可能性,以及对横向正面极化的校正是相关的,我们表明这两个与中性风味仪的模型相关。我们还研究了生成Mu-to-$ \ bar {\ text {mu}} $过渡的模型,例如惰性$ su(2)_l $ doublet,$ su(2)_l $ seesaw seesaw seesaw模型,Dilepton Gauge Boson type-II Seesaw Model,type-ii seesaw型模型和左右模型。两个方向之一的横向极化的非零值,$ p _ {\ rm t_2} $,违反了时间反转的不变性,并且电子偶极矩的实验约束可以在$ p _ {\ rm t_2} $的情况下提供严重的约束。
The constructions of the new high-intensity muon beamlines are progressing in facilities around the world, and new physics searches related to the muons are expected. The facilities can observe the transverse positron polarization of the polarized $μ^+$ decay to test the standard model. The transition of muonium into antimuonium (Mu-to-$\bar{\text{Mu}}$ transition), which is one of the interesting possibilities in the models beyond the standard model, can be also tested. The near-future observation of the transition gives us a great impact since it indicates that there is an approximate discrete symmetry in the lepton sector. If the Mu-to-$\bar{\text{Mu}}$ transition operator is generated, a new muon decay operator can exist and it may interfere with the standard model muon decay operator to induce the corrections to the transverse positron polarization in the $μ^+$ decay. In this paper, we examine the possibility that the Mu-to-$\bar{\text{Mu}}$ transition and the correction to the transverse positron polarization are related, and we show that those two are related in the model of a neutral flavor gauge boson. We also investigate the models to generate the Mu-to-$\bar{\text{Mu}}$ transition, such as an inert $SU(2)_L$ doublet, a $SU(2)_L$ triplet for the type-II seesaw model, a dilepton gauge boson, and a left-right model. The non-zero value of the transverse polarization for one of the two directions, $P_{\rm T_2}$, violates the time-reversal invariance, and the experimental constraint of the electron electric dipole moment can provide a severe constraint on $P_{\rm T_2}$ depending on the model.