论文标题
$ΔF= 2 $转换的SMEFT地图集
SMEFT ATLAS of $ΔF=2$ Transitions
论文作者
论文摘要
我们提出了$Δf= 2 $ transitions $ k^0- \ b^0 $，$ b_ {s，d} - \ bar b_ {s，d} $和$ d^0- \ bar d^0 $在标准模型有效现场理论（SMEFT）的上下文中。我们为混合振幅$ \ big [m_ {12} \ big] _ \ text {bsm} $提供两个主公式。一个关于在Electroweak量表上评估的低能有效理论（左）操作员的Wilson系数（WC），$μ__\ text {ew} $，另一个在BSM量表$λ$的SMEFT操作员的WC中。系数$ p_a^{ij} $输入这些公式，分别包含尺度下方的所有信息$μ__\ text {ew} $和$λ$。顶级Yukawa耦合的重新归一化组效应起着最重要的作用。 SMEFT操作员对$ \ big [m_ {12} \ big] _ \ text {bsm} $的个人贡献的收集被认为是$ΔF= 2 $过渡的SMEFT地图集，并且构成了远远超出LHC探索的此类过渡的旅行指南。我们强调，该地图集取决于是否考虑了SMEFT操作员的下基础或上流基础。我们用重量表玻色子（$ z^\ prime $，$ g^\ prime $）和相应的重型标量的树级交换来说明这项技术。
We present a model-independent anatomy of the $ΔF=2$ transitions $K^0-\bar K^0$, $B_{s,d}-\bar B_{s,d}$ and $D^0-\bar D^0$ in the context of the Standard Model Effective Field Theory (SMEFT). We present two master formulae for the mixing amplitude $\big[M_{12} \big]_\text{BSM}$. One in terms of the Wilson coefficients (WCs) of the Low-Energy Effective Theory (LEFT) operators evaluated at the electroweak scale $μ_\text{ew}$ and one in terms of the WCs of the SMEFT operators evaluated at the BSM scale $Λ$. The coefficients $P_a^{ij}$ entering these formulae contain all the information below the scales $μ_\text{ew}$ and $Λ$, respectively. Renormalization group effects from the top-quark Yukawa coupling play the most important role. The collection of the individual contributions of the SMEFT operators to $\big[M_{12}\big]_\text{BSM}$ can be considered as the SMEFT ATLAS of $ΔF=2$ transitions and constitutes a travel guide to such transitions far beyond the scales explored by the LHC. We emphasize that this ATLAS depends on whether the down-basis or the up-basis for SMEFT operators is considered. We illustrate this technology with tree-level exchanges of heavy gauge bosons ($Z^\prime$, $G^\prime$) and corresponding heavy scalars.
