AI 中文总结
本文研究QCD与暗π介子间的拓扑门户，构建弱耦合紫外完备化模型，计算热共湮灭并利用LHC、LEP及味观测量检验，提出FCC-ee可探测低质量区域。
AI 中文摘要
我们研究了文献[1]中提出的QCD与伪南布-戈德斯通暗物质之间的拓扑门户现象学。我们构建了一个弱耦合的紫外完备化模型，其中矢量中介子对QCD轻夸克味的重子流进行规范，将其与参数化陪集$SU(2)_D/U(1)_D$的暗π介子联系起来。作为一个具体的无反常实现，我们对轻子phobic组合$B_1+B_2-2B_3$进行规范。这一完备化使我们能够计算超出π介子有效理论适用范围的热共湮灭，包括共振中介子效应，并通过LHC的增强双喷注和单喷注搜索、LEP和底夸克偶素数据以及味观测量来检验由此产生的热靶。这些对撞机特征直接源于匹配拓扑门户所需的对称结构。在低动量转移下，拓扑算符反而控制较重暗π介子的衰变，该暗π介子寿命较长。未来高统计量的$Z$工厂，如FCC-ee，可以探测强子对撞机灵敏度下降的低质量区域，为拓扑门户提供互补的检验。
英文摘要
We study the phenomenology of the topological portal between QCD and pseudo-Nambu--Goldstone dark matter proposed in~\cite{Davighi:2024zip}. We construct a weakly coupled ultraviolet completion in which a vector mediator gauges a baryonic current of QCD for the light quark flavours, linking it to dark pions parametrizing the coset $SU(2)_D/U(1)_D$. As a concrete anomaly-free realisation, we gauge the leptophobic combination $B_1+B_2-2B_3$. This completion allows us to calculate thermal coannihilation beyond the regime of validity of the pion effective theory, including resonant mediator effects, and to test the resulting thermal target with boosted-dijet and monojet searches at the LHC, with LEP and bottomonium data, and with flavour observables. These collider signatures follow directly from the symmetry structure required by matching onto the topological portal. At low momentum transfer, the topological operator instead controls the decay of the heavier dark pion, which is long-lived. A future high-statistics $Z$ factory, such as FCC-ee, can probe the low-mass region where hadron-collider sensitivity deteriorates, providing complementary tests of the topological portal.
Comments38 pages, 1 figure
