Title of article :
Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass Original Research Article
Author/Authors :
J. Fleischer، نويسنده , , A.V. Kotikov، نويسنده , , O.L. Veretin، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Abstract :
For a large class of two-loop self-energy- and vertex-type diagrams with only one non-zero mass (m) and the vertices also with only one non-zero external momentum squared (q2) the first few expansion coefficients are calculated by the large mass expansion. This allows us 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 q2 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 q2-plane by well known methods. It is also possible to sum the Taylor series and present the results in terms of polylogarithms.
Keywords :
* Feynman diagram , * Self-energy and vertex diagram , * Two-loop diagram
Journal title :
Nuclear Physics B
Journal title :
Nuclear Physics B