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arXiv 2009.07276hep-phhep-exhep-lat
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$ΔF=2$转换的SMEFT ATLAS

SMEFT ATLAS of $ΔF=2$ Transitions

Jason Aebischer, Christoph Bobeth, Andrzej J. Buras, Jacky Kumar

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76 pages, 13 figures
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摘要：

我们提出了一个模型独立的$ΔF=2$转换$K^0-\bar K^0$，$B_{s,d}-\bar B_{s,d}$和$D^0-\bar D^0$的背景下，有效场理论（SMEFT）的解剖。我们提出了两个主公式的混合振幅$\big[M_{12} \big]_\text{BSM}$。一个是低能有效理论（LEFT）算子在电弱标度$μ_\text{ew}$下的Wilson系数（WC），一个是SMEFT算子在BSM标度$Λ$下的WC。进入这些公式的系数$P_a^{ij}$分别包含尺度$μ_\text{ew}$和$Λ$以下的所有信息。顶夸克汤川耦合的重正化群效应起着最重要的作用。SMEFT操作员对$\big[M_{12}\big]_\text{BSM}$的个人贡献的集合可以被认为是$ΔF=2$跃迁的SMEFT图谱，并构成了远远超出LHC探索的尺度的这种跃迁的旅行指南。我们强调，这个ATLAS取决于是否考虑SMEFT运营商的向下基础或向上基础。我们说明了这种技术与树级交换的重规范玻色子（$Z^\prime$，$G^\prime$）和相应的重标量。

英文摘要：

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.

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