论文标题
n $^3 $ lo及以后的软积分和柔软的异常尺寸
Soft Integrals and Soft Anomalous Dimensions at N$^3$LO and Beyond
论文作者
论文摘要
我们计算柔软的相位空间和循环主体积分，通过n $^3 $ lo在扰动QCD中的颜色单元横截面的计算。我们的结果是均质先验重量的功能，并在尺寸调节器$ε$中扩展中包含前九个项。我们讨论了结果对深度无弹性散射和$ e^+e^ - $ nihihitation过程的应用。我们使用这些结果来计算DRELL-YAN和GLUON-FUSION HIGGS BOSON生产横截面的摄取系数功能，以$ε$的较高订单，通过n $^3 $ lo in qcd的限制，而只有在无色最终状态的顶部仅生产软part量。此外，我们将包含阈值软函数以及$ n $ jettiness Beam和Jet函数的异常尺寸提取到扰动QCD中的n $^4 $ lo。
We calculate soft phase-space and loop master integrals tor the computation of color-singlet cross sections through N$^3$LO in perturbative QCD. Our results are functions of homogeneous transcendental weight and include the first nine terms in the expansion in the dimensional regulator $ε$. We discuss the application of our results to the computation of deeply-inelastic scattering and $e^+e^-$ annihilation processes. We use these results to compute the perturbative coefficient functions for the Drell-Yan and gluon-fusion Higgs boson production cross sections to higher orders in $ε$ through N$^3$LO in QCD in the limit where only soft partons are produced on top of the colorless final state. Furthermore, we extract the anomalous dimension of the inclusive threshold soft function and of the $N$-Jettiness beam and jet functions to N$^4$LO in perturbative QCD.
