论文标题
在QCD的Nnnlo的Lepton Colliders的重Quark对生产
Heavy-quark pair production at lepton colliders at NNNLO in QCD
论文作者
论文摘要
我们计算$ e^+e^ - $ nihihitation在QCD的临近次要到领先顺序的$ e^+e^ - $ nihihitation中的重量夸克对生产的总横截面和不变质量分布。获得的结果表示为分段函数，该功能由几个深层扩展的功率序列定义，从而促进了快速的数值评估。我们以500 GEV的碰撞能量将顶级生产作为基准，我们观察到总横截面的校正约为$ 0.1 \％$ $，大部分不变质量分配范围内的校正约为$ 10 \％$。这些结果在显着降低理论不确定性方面起着至关重要的作用：总横截面的比例依赖性已降低到$ 0.06 \％$，而不变质量分布的估计依赖性则降至$ 5 \％$。这种不确定性的降低符合未来的Lepton Colliders的严格要求。
We compute the total cross-section and invariant mass distribution for heavy-quark pair production in $e^+e^-$ annihilation at the next-to-next-to-next-to-leading order in QCD. The obtained results are expressed as piecewise functions defined by several deeply expanded power series, facilitating a rapid numerical evaluation. Utilizing top-pair production at a collision energy of 500 GeV as a benchmark, we observe a correction of approximately $0.1\%$ for the total cross-section and around $10\%$ for the majority of the invariant mass distribution range. These results play a crucial role in significantly reducing theoretical uncertainty: the scale dependence has been diminished to $0.06\%$ for the total cross-section and to $5\%$ for the invariant mass distribution. This reduction of uncertainty meets the stringent requirements of future lepton colliders.
