# Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass

Fleischer J, Kotikov AV, Veretin OL (1999) *NUCLEAR PHYSICS B* 547(1-2): 343-374.

Download

**No fulltext has been uploaded. References only!**

*Journal Article*|

*Published*|

*English*

No fulltext has been uploaded

Author

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 (q(2)) 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 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. (C) 1999 Elsevier Science B.V.

Publishing Year

ISSN

PUB-ID

### Cite this

Fleischer J, Kotikov AV, Veretin OL. Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass.

*NUCLEAR PHYSICS B*. 1999;547(1-2):343-374.Fleischer, J., Kotikov, A. V., & Veretin, O. L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass.

*NUCLEAR PHYSICS B*,*547*(1-2), 343-374. doi:10.1016/S0550-3213(99)00078-4Fleischer, J., Kotikov, A. V., and Veretin, O. L. (1999). Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass.

*NUCLEAR PHYSICS B*547, 343-374.Fleischer, J., Kotikov, A.V., & Veretin, O.L., 1999. Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass.

*NUCLEAR PHYSICS B*, 547(1-2), p 343-374. J. Fleischer, A.V. Kotikov, and O.L. Veretin, “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”,

*NUCLEAR PHYSICS B*, vol. 547, 1999, pp. 343-374. Fleischer, J., Kotikov, A.V., Veretin, O.L.: Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass. NUCLEAR PHYSICS B. 547, 343-374 (1999).

Fleischer, Jochem, Kotikov, AV, and Veretin, OL. “Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass”.

*NUCLEAR PHYSICS B*547.1-2 (1999): 343-374.
This data publication is cited in the following publications:

This publication cites the following data publications:

### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

arXiv hep-ph/9808242

Inspire 474411