标题： 关于维数调节费曼图的epsilon展开的一些备注 显示英文标题

标题： Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams

摘要： 一些与维度调节费曼积分的epsilon展开构造相关的问题被讨论。 对于某些图类，epsilon展开的任意项可以表示为与多对数相关的对数正弦积分。 展示了如何通过广义 Nielsen 多对数函数来构造这些函数的解析延拓。 显示英文摘要

摘要： Some problems related to construction of the epsilon-expansion of dimensionally regulated Feynman integrals are discussed. For certain classes of diagrams, an arbitrary term of the epsilon-expansion can be expressed in terms of log-sine integrals related to the polylogarithms. It is shown how the analytic continuation of these functions can be constructed in terms of the generalized Nielsen polylogarithms.