In this work we analyse the triple Higgs boson production cross section at hadron colliders via gluon fusion, and present for the first time the full set of QCD NNLO corrections in the heavy top limit. In order to account for finite top mass effects we perform two different reweighting procedures, and study the dependence of the result on the choice of the approximation. Combining the most accurate predictions available to date, we present the following result for the total NNLO cross section for triple Higgs boson production at a 100 TeV collider: σ NNLO = 5.56 − 6 % + 5 % $$ {\sigma}_{\mathrm{NNLO}}={5.56}_{-6\%}^{+5\%} $$ ± 20% fb, where the first uncertainty is an estimate for higher order effects from scale variations, while the last one is an estimate for the missing finite top mass effects.

中文翻译：

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在 QCD 的 NNLO 的强子对撞机中产生三重希格斯粒子

在这项工作中，我们通过胶子聚变分析了强子对撞机的三重希格斯玻色子产生截面，并首次提出了重上限的全套 QCD NNLO 校正。为了说明有限顶部质量效应，我们执行两种不同的重新加权程序，并研究结果对近似值选择的依赖性。结合迄今为止最准确的预测，我们给出了在 100 TeV 对撞机下产生三重希格斯玻色子的总 NNLO 截面的以下结果：σ NNLO = 5.56 − 6 % + 5 % $$ {\sigma}_{\ mathrm{NNLO}}={5.56}_{-6\%}^{+5\%} $$ ± 20% fb，其中第一个不确定性是对尺度变化的高阶效应的估计，而最后一个是对缺失的有限顶部质量效应的估计。