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- W2001325081 abstract "In a recent paper we have presented results for a set of massive scalar one-loop master integrals needed in the NNLO parton model description of the hadroproduction of heavy flavors. The one--loop integrals were evaluated in $n=4-2ep$ dimension and the results were presented in terms of a Laurent series expansion up to ${cal O}(ep^2)$. We found that some of the $ep^2$ coefficients contain a new class of functions which we termed the $L$ functions. The $L$ functions are defined in terms of one--dimensional integrals involving products of logarithm and dilogarithm functions. In this paper we derive a complete set of algebraic relations that allow one to convert the $L$ functions of our previous approach to a sum of classical and multiple polylogarithms. Using these results we are now able to present the $ep^2$ coefficients of the one-loop master integrals in terms of classical and multiple polylogarithms." @default.
- W2001325081 created "2016-06-24" @default.
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- W2001325081 date "2006-07-01" @default.
- W2001325081 modified "2023-09-30" @default.
- W2001325081 title "Laurent series expansion of a class of massive scalar one-loop integrals up to O(ε2) in terms of multiple polylogarithms" @default.
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- W2001325081 doi "https://doi.org/10.1063/1.2190336" @default.
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