在SMEFT框架内统一低能半轻子与强子异常
Uniting Low-energy Semileptonic and Hadronic Anomalies within SMEFT
AI总结：
本文提出利用SMEFT重整化群演化中的算符混合机制，系统寻找能同时解释半轻子b→sℓ⁺ℓ⁻异常与强子B→Kπ疑难的单个SMEFT算符，并展示完整筛选流程。
摘要：
四费米子SMEFT算符分为两类：半轻子型（两个夸克和两个轻子）和强子型（四个夸克）。在树图阶，某一类的算符只对同一类过程有贡献。然而，当SMEFT哈密顿量利用重整化群方程（RGEs）从新物理能标演化到低能标时，由于算符混合，同一个SMEFT算符可以在单圈阶生成另一类的算符。因此，要寻找低能异常或异常组合的SMEFT解释，必须：（i）确定候选的半轻子和强子SMEFT算符，（ii）用RGEs将它们演化到低能标，（iii）生成具有正确威尔逊系数的所需低能算符，以及（iv）检验所有其他约束都得到满足。在本文中，我们通过找出所有自身即可同时解释（半轻子）$\bar b \to \bar s \ell^+ \ell^-$异常和（强子）$B \to K \pi$疑难的全部SMEFT算符，来阐释这一方法。
英文摘要：
Two categories of four-fermion SMEFT operators are semileptonic (two quarks and two leptons) and hadronic (four quarks). At tree level, an operator of a given category contributes only to processes of the same category. However, when the SMEFT Hamiltonian is evolved down from the new-physics scale to low energies using the renormalization-group equations (RGEs), due to operator mixing this same SMEFT operator can generate operators of the other category at one loop. Thus, to search for a SMEFT explanation of a low-energy anomaly, or combination of anomalies, one must: (i) identify the candidate semileptonic and hadronic SMEFT operators, (ii) run them down to low energy with the RGEs, (iii) generate the required low-energy operators with the correct Wilson coefficients, and (iv) check that all other constraints are satisfied. In this paper, we illustrate this method by finding all SMEFT operators that, by themselves, provide a combined explanation of the (semileptonic) $\bar b \to \bar s \ell^+ \ell^-$ anomalies and the (hadronic) $B \to K π$ puzzle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
