发表机构
Universidade de São Paulo; Universidade Estadual de Campinas（圣保罗大学; 坎皮纳斯州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用 Padé 近似并施加大-$n_f$ 约束，估计了 $H\to gg$ 在 $\alpha_s^7$ 阶的未知 QCD 修正系数为 $-312\pm 15$，并减小了重整化尺度依赖性。
AI 中文摘要
在这项工作中，我们利用基于微扰级数及其 Borel 变换构建的 Padé 近似，在重顶夸克极限下估计了希格斯玻色子衰变为胶子（$H\to gg$）的首个未知 QCD 修正。在此过程中，我们还获得了 QCD $\beta$ 函数、QCD 退耦关系以及胶球关联函数的首个未知系数的估计。我们还提供了 $\Gamma(H\to b\bar{b})$ 首个未知系数的更新预测。我们确定了微扰系数对夸克味道数 $n_f$ 的多项式依赖。我们指出，$H\to gg$ 的大-$n_f$ 结果可以从文献中已有的胶球关联函数结果中获得。然后，$n_f$ 最高次幂的系数被作为约束条件施加，并用作剔除不可靠近似的新测试。该方法通过后验预测系列最后一个已知系数得到验证。我们对 $\Gamma(H\to gg)$ 的 $\alpha_s^7$ 阶未知系数的模型无关估计为 $-312\pm 15$（在 $\overline{\mathrm{MS}}$ 方案中，取 $\mu=m_H$，其中 $m_H$ 为希格斯质量）。利用我们的估计，$\Gamma(H\to gg)$ 的残余重整化尺度依赖性减少了近 1.5 倍。
英文摘要
In this work we estimate the first unknown QCD correction to the decay of the Higgs boson into gluons, $H\to gg$, in the heavy-top limit using Padé approximants built to the perturbative series and to its Borel transform. In the process, we also obtain estimates for the first unknown coefficients of the QCD $β$ function, of the QCD decoupling relation, and of the gluonium correlator. We also provide an updated prediction for the first unknown coefficient of $Γ(H\to b\bar{b})$. We determine the polynomial dependence of the perturbative coefficients on the number of quark flavors, $n_f$. We point out that the large-$n_f$ result for $H\to gg$ can be obtained from results for the gluonium correlator already available in the literature. The coefficient of the highest power of $n_f$ is then imposed as a constraint and is also used as a new test to discard unreliable approximants. The method is validated through the postdiction of the last known coefficient of the series. Our model-independent estimate for the yet unknown coefficient of order $α_s^7$ of $Γ(H\to gg)$ is $-312\pm 15$ (in the $\overline{\mathrm{MS}}$ scheme with $μ=m_H$, where $m_H$ is the Higgs mass). With our estimate the residual renormalization-scale dependence of $Γ(H\to gg)$ is reduced by a factor of almost 1.5.
Comments42 pages, 6 figures
