论文标题
在NNLO的横向Momentum削减横向摩托车中的功率校正
Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the $qg$-initiated real-virtual contribution
论文作者
论文摘要
我们考虑在强耦合常数$α_ {\ rm s} $中,考虑近代到领先顺序的矢量玻色子($ z $,$ w^\ pm $或$γ^*$)。 我们在$ qg $启动的通道中生产的向量玻色子上,强加了横向momentum截止值,$ q _ {\ rm t}^{\ rm cut} $。然后,我们计算了截止值的功率校正,直到第二功率,对累积横截面的真实干扰贡献,按顺序$α_ {\ rm s}^2 $。还考虑了其他具有相同运动学的术语,源自用于双重贡献的减法方法。 当$ q _ {\ rm t} $ - 减法方法应用时,这种功率校正的知识是减少QCD横截面to next to-next to-next to-next to-Lead-Leading顺序的依赖性的所需要素。此外,对横截面对$ q _ {\ rm t}^{\ rm cut} $的依赖性的研究也允许理解其在小型横向摩托米限制中的行为,从而在$α_ {\ rm s} $的所有订单中都在所有订单中给出了提示。 我们的结果以分析形式呈现,使用上一篇论文中描述的过程无关的过程,以计算$ q _ {\ rm t}^{\ rm cut} $中的全阶功率校正。
We consider the production of a vector boson ($Z$, $W^\pm$ or $γ^*$) at next-to-next-to-leading order in the strong coupling constant $α_{\rm S}$. We impose a transverse-momentum cutoff, $q_{\rm T}^{\rm cut}$, on the vector boson produced in the $qg$-initiated channel. We then compute the power corrections in the cutoff, up to the second power, of the real-virtual interference contribution to the cumulative cross section at order $α_{\rm S}^2$. Other terms with the same kinematics, originating from the subtraction method applied to the double-real contribution, have been also considered. The knowledge of such power corrections is a required ingredient in order to reduce the dependence on the transverse-momentum cutoff of the QCD cross sections at next-to-next-to-leading order, when the $q_{\rm T}$-subtraction method is applied. In addition, the study of the dependence of the cross section on $q_{\rm T}^{\rm cut}$ allows as well for an understanding of its behaviour in the small transverse-momentum limit, giving hints on the structure at all orders in $α_{\rm S}$ and on the identification of universal patterns. Our result are presented in an analytic form, using the process-independent procedure described in a previous paper for the calculation of the all-order power corrections in $q_{\rm T}^{\rm cut}$.