论文标题
NLO的Gluon融合产生：合并横向动量和高能扩展
Gluon Fusion Production at NLO: Merging the Transverse Momentum and the High-Energy Expansions
论文作者
论文摘要
对$ gg \ to hh $的虚拟校正和$ gg \ to zh $进行了分析评估，将最终粒子的小横向动量中的扩展与在高能量下有效的膨胀有效。两种膨胀方法描述了相空间的互补区域，我们合并了它们的结果，并使用padé近似值扩展了两种扩展的有效性范围。我们表明，这种方法可以重现可用的数值结果，以保持精确的夸克质量依赖性，精度远低于1％。我们的结果允许快速，灵活地评估所考虑过程的虚拟校正。此外，它们在顶级夸克质量的不同重态化方案中可用。
The virtual corrections to $gg\to HH$ and $gg\to ZH$ are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Padé approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy well below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass.
