论文标题
$ e^+e^ - $ to 2喷气机的parton级结构在n $^3 $ lo
The parton-level structure of $e^+e^-$ to 2 jets at N$^3$LO
论文作者
论文摘要
我们在$ \ MATHCAL {O}(O}(α_s^3)$中,在强耦合常数$α_s$中,将量子染色体动力学(QCD)校正为电子 - 峰值碰撞中的HADRONIC最终状态。也就是说,我们通过分别分析该过程的总横截面,分别整合树级五党,一环四方,两循环的三翼派和在相应相位空间上的三环矩阵元素。对计算的所有贡献均在一个共同的框架中处理,该框架将相位空间积分表示为四环函数的物理切割。我们在各种颜色水平上检查红外线的取消,并以$ r $ -ratio的订单$α_s^3 $重现已知结果。
We investigate the quantum chromodynamics (QCD) corrections to hadronic final states in electron-positron collisions at $\mathcal{O}(α_s^3)$ in the strong coupling constant $α_s$. Namely, we analytically compute the total cross section for this process by separately integrating the tree-level five-parton, the one-loop four-parton, the two-loop three-parton, and the three-loop two-parton matrix elements over the respective phase space. All the contributions to the calculation are treated in a common framework whereby phase space integrals are expressed as physical cuts of the four-loop two-point function. We check the cancellation of infrared poles at all colour levels and we reproduce the known result for the $R$-ratio at order $α_s^3$.