Borowka S, Greiner N, Heinrich G, Jones S P, Kerner M, Schlenk J, Schubert U, Zirke T
Institute for Physics, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA.
Institute for Physics, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland.
Phys Rev Lett. 2016 Jul 1;117(1):012001. doi: 10.1103/PhysRevLett.117.012001. Epub 2016 Jun 29.
We present the calculation of the cross section and invariant mass distribution for Higgs boson pair production in gluon fusion at next-to-leading order (NLO) in QCD. Top-quark masses are fully taken into account throughout the calculation. The virtual two-loop amplitude has been generated using an extension of the program GoSam supplemented with an interface to Reduze for the integral reduction. The occurring integrals have been calculated numerically using the program SecDec. Our results, including the full top-quark mass dependence for the first time, allow us to assess the validity of various approximations proposed in the literature, which we also recalculate. We find substantial deviations between the NLO result and the different approximations, which emphasizes the importance of including the full top-quark mass dependence at NLO.
我们给出了在 QCD 下一级领先阶（NLO）的胶子融合过程中希格斯玻色子对产生的截面和不变质量分布的计算。在整个计算过程中充分考虑了顶夸克质量。虚拟双圈振幅是使用程序 GoSam 的扩展生成的，并辅以与 Reduze 的接口用于积分约化。出现的积分使用程序 SecDec 进行了数值计算。我们的结果首次包括了完整的顶夸克质量依赖性，这使我们能够评估文献中提出的各种近似的有效性，我们也重新计算了这些近似。我们发现 NLO 结果与不同近似之间存在显著偏差，这强调了在 NLO 中包含完整顶夸克质量依赖性的重要性。
