Baglio J, Campanario F, Glaus S, Mühlleitner M, Spira M, Streicher J
1Institute for Theoretical Physics, Eberhard Karls Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
2Theory Division, IFIC, University of Valencia-CSIC, 46980 Paterna, Valencia Spain.
Eur Phys J C Part Fields. 2019;79(6):459. doi: 10.1140/epjc/s10052-019-6973-3. Epub 2019 May 30.
We present the calculation of the full next-to-leading order (NLO) QCD corrections to Higgs boson pair production via gluon fusion at the LHC, including the exact top-mass dependence in the two-loop virtual and one-loop real corrections. This is the first independent cross-check of the NLO QCD corrections presented in the literature before. Our calculation relies on numerical integrations of Feynman integrals, stabilised with integration-by-parts and a Richardson extrapolation to the narrow width approximation. We present results for the total cross section as well as for the invariant Higgs-pair-mass distribution at the LHC, including for the first time a study of the uncertainty due to the scheme and scale choice for the top mass in the loops.
我们给出了在大型强子对撞机（LHC）上通过胶子融合产生希格斯玻色子对的完整次领头阶（NLO）量子色动力学（QCD）修正的计算，包括在两圈虚拟修正和一圈实修正中对顶夸克质量的精确依赖。这是对之前文献中给出的NLO QCD修正的首次独立交叉检验。我们的计算依赖于费曼积分的数值积分，并通过分部积分和对窄宽度近似的理查森外推法进行了稳定化处理。我们给出了LHC上总截面以及希格斯玻色子对不变质量分布的结果，首次包括了对由于圈图中顶夸克质量的方案和标度选择所导致的不确定性的研究。
