论文标题
未来十年的$ h \ toτμ$和$τ\ toμγ$相互作用$τ$违反风味的搜索
The Coming Decade of $h \to τμ$ and $τ\to μγ$ Interplay in $τ$ Flavor Violation Search
论文作者
论文摘要
我们在LHC上搜索$ h（125）\ toτμ$搜索之间的相互作用，而在将两种额外的Yukawa耦合（例如$ρ_{τμ} $）的额外的higgs Doublet模型中，在UP和COME BUSLE〜II实验中进行了belle〜i ii实验。 $ h \ toτμ$的搜索约束$ρ_{τμ} \cosγ$，其中$ \cosγ$是$ h $ - $ h $ - $ h $混合角度的$ h $与exotic $ cp $ cp $ -even scalar $ h $。对于$τ\至μγ$，我们通过将额外的顶部Yukawa耦合$ρ_{tt} = 1 \（\congλ_t）$设置在两回路图中，定义“ BSM基准”，并将其定义为$ \cosγ= 0 $。我们表明，由于$ h $和$ h $和$ cp $ -odd标量$ a $而引起的这种领先效果也很容易被Belle〜II探测，即使是$ρ_{τμ} =0.7λ_τ$的保守值。我们通过将$ρ_{tt} = 0 $设置在两循环图中，并以$ \cosγ= 0.2 $进行保守的最大值来定义“ $ h $ benchmark”。我们证明它超出了Belle〜II的范围，但是可以干扰BSM基准效应，BSM基准效应原则上探测了$ρ_{tt} $的阶段。我们进一步表明，与$ρ_{τμ}ρ_{τττ} $成比例的单循环$ h $，$ a $ a效果，超出了Belle〜II对探测的敏感性，即使是$ρ_{τττ} $，也超出了$3λ_的$3λ_τ$。有了这样的假设，即$ρ_{32}^f，ρ_{33}^f = {\ cal o}（λ_3^f）$ for Alleded Fermions $ f $，我们在未来十年中发现了两种$τ$ Lepton风味违法搜索的良好发现潜力。
We explore the interplay between $h(125) \to τμ$ search at the LHC and $τ\to μγ$ at the up and coming Belle~II experiment, in context of the general two Higgs doublet model with extra Yukawa couplings such as $ρ_{τμ}$. The search for $h \to τμ$ constrains $ρ_{τμ} \cosγ$, where $\cosγ$ is the $h$--$H$ mixing angle of $h$ with the exotic $CP$-even scalar $H$. For $τ\to μγ$, we define the "BSM-benchmark" by setting the extra top Yukawa coupling $ρ_{tt} = 1\ (\cong λ_t)$ in two-loop diagrams, and $\cosγ= 0$ to decouple $h$. We show that this leading effect due to $H$ and $CP$-odd scalar $A$ can be readily probed by Belle~II, even for the conservative value of $ρ_{τμ} = 0.7λ_τ$. We define the subleading "$h$-benchmark" by setting $ρ_{tt} = 0$ in two-loop diagrams, and take the conservative maximal value of $\cosγ= 0.2$. We show that it falls beyond Belle~II reach, but can interfere with the BSM-benchmark effect, which in principle probes the phase of $ρ_{tt}$. We further show that the one-loop $H$, $A$ effect, proportional to $ρ_{τμ}ρ_{ττ}$ in amplitude, is beyond the sensitivity of Belle~II to probe, even for $ρ_{ττ}$ as large as $3λ_τ$. With the working assumption that $ρ_{32}^f, ρ_{33}^f = {\cal O}(λ_3^f)$ for all charged fermions $f$, we find good discovery potential for both $τ$ lepton flavor violation searches in the coming decade.
