论文标题

ee $ \ in $ mc:$ e^{+} e^{ - } \toμ^{+}μ^{ - }(nγ)$和$ e^{+e^{+} e^{ - } e^{ - }

ee$\in$MC: Higher Orders of Radiative Emissions for $e^{+}e^{-} \to μ^{+}μ^{-} (nγ)$ and $e^{+}e^{-} \to τ^{+}τ^{-} (nγ)$ Events

论文作者

Nugent, Ian M.

论文摘要

EE $ \在$ MC生成器中的辐射排放量扩展到包括初始/最终态辐射图,具有初始状态/最终态干扰,用于NLO和NNLO计算以及与$ e^{+e^{+} e^{ - }的NNLO计算相关的初始态辐射图(和$ e^{+} e^{ - } \ toτ^{+}τ^{ - }(nγ)$事件。 NNLO初始状态辐射图代表了4个硬光子发射中对扰动Feynman系列的最大贡献。 From the convergence of the total cross-section for $e^{+}e^{-} \to μ^{+}μ^{-} (nγ)$ and $e^{+}e^{-} \to τ^{+}τ^{-} (nγ)$, we estimate an uncertainty on the theoretical error corresponding to the truncation of the perturbative Feynman序列是使用[1]中描述的技术在凸起中应用的软光子临界值的函数。我们讨论如何将与扰动Feynman系列截断相关的理论误差的估计程序扩展到大多数实验可测量的物理可观察物以及该策略的潜在陷阱。

The radiative emissions in the ee$\in$MC generator are extended to include the Initial/Final-State radiative diagrams, with Initial-State/Final-State interference, for the NLO and NNLO calculations and the Initial-State radiative diagrams associated with the NNNLO calculation for $e^{+}e^{-} \to μ^{+}μ^{-} (nγ)$ and $e^{+}e^{-} \to τ^{+}τ^{-} (nγ)$ Events. The NNNLO Initial-State radiative diagrams represent the largest contribution to the perturbative Feynman series in the emission of 4 hard-photons. From the convergence of the total cross-section for $e^{+}e^{-} \to μ^{+}μ^{-} (nγ)$ and $e^{+}e^{-} \to τ^{+}τ^{-} (nγ)$, we estimate an uncertainty on the theoretical error corresponding to the truncation of the perturbative Feynman series as a function of the soft-photon cut-off applied in the exponentiation using the technique described in [1]. We discuss how this estimation procedure of the theoretical error associated with the truncation of the perturbative Feynman series can be extended to most experimentally measurable physical observables and the potential pitfalls of this strategy.

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