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arXiv 2111.02442hep-phhep-ex
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高能μ子碰撞中的有效矢量玻色子近似

The Effective Vector Boson Approximation in High-Energy Muon Collisions

Richard Ruiz, Antonio Costantini, Fabio Maltoni, Olivier Mattelaer

摘要:

由于前向规范辐射的倾向,超过几TeV的轻子对撞机是有效的电弱(EW)玻色子对撞机,这表明EW玻色子作为高能轻子的成分处理。在μ子对撞机的背景下,我们重新讨论了在$2\to n$过程中,$W$和$Z$部分子分布函数在首阶的有效性。我们系统地调查普遍和准普遍的幂律和对数修正时产生的推导(极化)弱玻色子PDF共线极限。我们继续调查众多的$2\to n$过程在$\sqrt{s}=2-30$ TeV通过极化和非极化EW玻色子融合/散射。为了进行这项研究,我们报告了有效$W/Z$和Weizsäcker-Williams近似的公开实现,我们统称为有效矢量玻色子近似,到蒙特卡罗事件发生器\texttt{MadGraph5\_aMC@NLO}。这种实现奠定了基础,发展矩阵元素匹配处方,涉及电子战部分子阵雨和重整化电子战PDF。为了进一步推进这一议程,我们给出了使用$W/Z$ PDF的建议。

英文摘要:

Due to the inclination for forward gauge radiation, lepton colliders beyond a few TeV are effectively electroweak (EW) boson colliders, suggesting the treatment of EW bosons as constituents of high-energy leptons. In the context of a muon collider, we revisit the validity of $W$ and $Z$ parton distribution functions (PDFs) at leading order in $2\to n$ process. We systematically investigate universal and quasi-universal power-law and logarithmic corrections that arise when deriving (polarized) weak boson PDFs in the collinear limit. We go on to survey a multitude of $2\to n$ processes at $\sqrt{s}=2-30$ TeV via polarized and unpolarized EW boson fusion/scattering. To conduct this study, we report a public implementation of the Effective $W/Z$ and Weizsäcker-Williams Approximations, which we collectively call the Effective Vector Boson Approximation, into the Monte Carlo event generator \texttt{MadGraph5\_aMC@NLO}. This implementation lays the groundwork for developing matrix-element matching prescriptions involving EW parton showers and renormalized EW PDFs. To further with this agenda, we give recommendations on using $W/Z$ PDFs.

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