Abstract

We consider a two-loop propagator-type Feynman integral with two composite external vertices as a function of two Bjorken variables \(x\), \(y\), arbitrary indices \({{n}_{i}}\) of propagators and space-time dimension \(D\). The integral is evaluated in terms of a hypergeometric double series. We find a chain of reductions of this double series to simpler functions in some physically interesting situations. The Mellin moments of the integral are also considered.

中文翻译：

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两个复合顶点的相关器的两环风筝主积分

摘要

我们将带有两个复合外部顶点的两环传播子型费曼积分视为两个Bjorken变量\ {x \}，\ {y \），任意索引\（{{n} _ {i}} \）的函数的传播和时空维度\（D \）。根据超几何双级数评估积分。我们发现，在某些物理上有趣的情况下，该双序列的化简为简化函数。还考虑了积分的梅林矩。