五圈处的甘氨酰-切割
Glue-and-Cut at Five Loops
摘要：
我们计算ε-展开周围4维的动量空间五圈无质量传播子积分的一套完整的主积分维正则化，并包括一阶超越权重9的贡献。我们的方法是胶切技术从Baikov和Chetyrkin，这证明是非常有效的，因为它确定了所有的展开系数，这个顺序的递归单圈积分和只有一个进一步的积分。我们观察到，我们的结果是兼容的预测$π$依赖的贡献的结构。
英文摘要：
We compute epsilon-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict $π$-dependent contributions.
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