标题： 顶夸克束缚态在有限和全纯量子场理论中 显示英文标题

标题： Top Quark Bound States in Finite and Holomorphic Quantum Field Theories

摘要： 我们提出了一项统一的理论研究，探讨了在LHC上最近观察到的顶-反顶产生阈值增强现象。 首先，我们将有限的非定域量子场论扩展，以推导出包含指数调节函数的重夸克-反夸克束缚态的修正Bethe-Salpeter方程，这些函数使所有环状振幅UV有限。 我们表明，非定域传播子会在共振质量与宽度上引起特征性偏移，这可以直接与LHC数据进行对比。 通过在强作用区固定非定域调节尺度，我们的框架预测了一个$\approx 8.3\,\mathrm{pb}$增强现象，与CMS对$8.8 \pm 1.3\,\mathrm{pb}$的测量结果高度一致。 我们分析了顶-对阈值附近强耦合的重整化群流，引入了一种受统一场论构造启发的全纯变形。 我们发现，修正的$\beta$-函数会缓和$\alpha_s$的运行，从而增强阈值截面。 第三，我们系统地比较了J/ψ、Υ和toponium，量化了结合能、寿命和产生特征方面的差异。 特别是，顶夸克的较大宽度阻止了长寿命束缚态的形成，因此toponium仅作为瞬时阈值共振出现。 综合来看，我们的结果表明，toponium不仅探测了QCD的非定域UV完成，还为全纯重整化群动力学以及重夸克onium更广泛的物理解释提供了新的视角。 显示英文摘要

摘要： We propose a unified theoretical study of the recently observed threshold enhancement in top--antitop production at the LHC. First, we extend the finite, nonlocal quantum field theories to derive a modified Bethe--Salpeter equation for heavy quark--antiquark bound states, incorporating exponential regulator functions that render all loop amplitudes UV finite. We show that nonlocal propagators induce characteristic shifts in the resonance mass and width, which can be contrasted directly with LHC data. By fixing the nonlocal regulator scale in the strong sector, our framework yields a prediction of an $\approx 8.3\,\mathrm{pb}$ enhancement, in excellent agreement with the CMS measurement of $8.8 \pm 1.3\,\mathrm{pb}$. We analyze the renormalization group flow of the strong coupling near the top--pair threshold, introducing a holomorphic deformation inspired by unified field--theoretic constructions. We find that the modified $\beta$-function softens the running of $\alpha_s$, giving an enhancement of the threshold cross-section. Third, we present a systematic comparison of charmonium, bottomonium, and toponium, quantifying differences in binding energies, lifetimes, and production signatures. In particular, the top quark's large width precludes long-lived bound states, so that toponium appears only as a transient threshold resonance. Taken together, our results demonstrate that toponium not only probes nonlocal UV completions of QCD but also offers a novel window onto holomorphic renormalization group dynamics and the broader phenomenology of heavy quarkonium.