Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams
classification
✦ hep-th
hep-phmath-phmath.MP
keywords
epsilon-expansiondiagramsdimensionallyfeynmanintegralspolylogarithmsregulatedrelated
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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.
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