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arXiv 1706.08548hep-ph
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自顶向下电弱偶极算子

Top Down Electroweak Dipole Operators

Kaori Fuyuto, Michael Ramsey-Musolf

摘要:

我们推导出目前的限制,和前瞻性的敏感性,电偶极矩(EDM)的顶夸克($d_t$)的搜索所暗示的电子和核子的EDM。在电弱标度$v$之上,$d_t$产生于在标度$Λ\gg v$上产生的两个规范不变算符,它们也在双圈阶的重整化群演化下与轻费米子EDMs混合。因此,第一代费米子系统的EDM上的界限意味着$|d_t|$上的界限。工作在领先的对数平方近似,我们发现,目前的上限约为$10^{-19}$ $e$厘米的$Λ= 1$ TeV,除了在精细调谐的取消,允许$|d_t|$的区域是高达50倍大。未来的$d_e$和$d_n$探针可能会使$d_t$灵敏度增加一个数量级,而纳入前瞻性质子EDM搜索可能会导致范围的额外增加。

英文摘要:

We derive present constraints on, and prospective sensitivity to, the electric dipole moment (EDM) of the top quark ($d_t$) implied by searches for the EDMs of the electron and nucleons. Above the electroweak scale $v$, the $d_t$ arises from two gauge invariant operators generated at a scale $Λ\gg v$ that also mix with the light fermion EDMs under renormalization group evolution at two-loop order. Bounds on the EDMs of first generation fermion systems thus imply bounds on $|d_t|$. Working in the leading log-squared approximation, we find that the present upper bound on $|d_t|$ is roughly $10^{-19}$ $e$ cm for $Λ= 1$ TeV, except in regions of finely tuned cancellations that allow for $|d_t|$ to be up to fifty times larger. Future $d_e$ and $d_n$ probes may yield an order of magnitude increase in $d_t$ sensitivity, while inclusion of a prospective proton EDM search may lead to an additional increase in reach.

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