Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms

Details Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms

2005-12-13

arxiv.org/abs/hep-ph/0512159v3

J.Math.Phys. 47 (2006) 072302

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, Latex, references added, matches published version

Scientific paper

10.1063/1.2190336

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 $n=4-2\ep$ 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.

Affiliated with

Also associated with

No associations

Rating

Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36340