Radiative corrections to lepton–lepton scattering revisited
Radiative corrections to lepton–lepton scattering revisited
复制标题
重新审视轻子-轻子散射的辐射校正
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
N. Kaiser
中科院分区：
文献类型：
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作者：
N. Kaiser
我们用封闭的解析形式计算了电子-电子散射e-e-→ e-e-的单圈辐射修正。给出了树图和单回路图之间相关干扰项的显式表达式（以无量纲Mandelstam变量的形式）。这些虚拟辐射修正的红外有限性通过包括低于能量截止λ的软光子辐射来实现（以标准方式）。我们评估的软光子校正因子的质心框架中的剩余有限的一部分。这些结果也可以用于Bhabha散射e−e+ → e−e+和弹性μ子散射μ−μ → μ−μ。此外，我们用同样的方法计算了不等轻子散射e−μ− → e−μ−的单圈辐射修正，并将它们同样应用于μ子对产生过程e−e+ → μ+μ−。与大多数其他辐射修正的计算相反，我们保持了对轻子质量的完全依赖。硬光子辐射的影响，这也是重要的直接比较（一个特定的）实验没有明确处理。
We calculate in closed analytical form the one-loop radiative corrections to electron–electron scattering e−e− → e−e−. Explicit expressions (in terms of dimensionless Mandelstam variables) are given for the pertinent interference terms between the tree diagrams and the one-loop diagrams. Infrared finiteness of these virtual radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy cutoff λ. We evaluate the remaining finite part of the soft photon correction factor in the center-of-mass frame. These results can also be utilized for Bhabha scattering e−e+ → e−e+ and for elastic muon scattering μ−μ → μ−μ. Furthermore, we calculate in the same way the one-loop radiative corrections to the scattering of unequal leptons e−μ− → e−μ− and apply them likewise to the muon pair production process e−e+ → μ+μ−. In contrast to most other calculations of these radiative corrections we keep the full dependence on the lepton masses. Effects from hard photon radiation which are also important for a direct comparison with (a specific) experiment are not treated explicitly.