Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-06
Nucl.Phys.B547:343-374,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 27 pages + 3 ps figures, uses axodraw.sty, some references revisted
Scientific paper
10.1016/S0550-3213(99)00078-4
For 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.
Fleischer Jochem
Kotikov Anatoly V.
Veretin Oleg L.
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