Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass

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dc.creatorFleischer, J.
dc.creatorKotikov, A. V.
dc.creatorVeretin, O. L.
dc.date1998-08-06
dc.date1998-08-11
dc.date.accessioned2026-07-07T11:47:51Z
dc.date.available2026-07-07T11:47:51Z
dc.descriptionFor a large class of two-loop selfenergy- and vertex-type diagrams with only one non-zero mass ($M$) and the vertices also with only one non-zero external momentum squared ($q^2$) the first few expansion coefficients are calculated by the large mass expansion. This allows to `guess' the general structure of these coefficients and to verify them in terms of certain classes of `basis elements', which are essentially harmonic sums. Since for this case with only one non-zero mass the large mass expansion and the Taylor series in terms of $q^2$ are identical, this approach yields analytic expressions of the Taylor coefficients, from which the diagram can be easily evaluated numerically in a large domain of the complex $q^2-$plane by well known methods. It is also possible to sum the Taylor series and present the results in terms of polylogarithms.
dc.descriptionLaTeX, 27 pages + 3 ps figures, uses axodraw.sty, some references revisted
dc.identifierhttps://arxiv.org/abs/hep-ph/9808242
dc.identifierhttp://arxiv.org/abs/hep-ph/9808242
dc.identifierNucl.Phys.B547:343-374,1999
dc.identifierdoi:10.1016/S0550-3213(99)00078-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202717
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnalytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
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