English

ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model

High Energy Physics - Phenomenology 2014-11-17 v4

Abstract

A FORM based package (ON-SHELL2) for the calculation of two loop self-energy diagrams with one nonzero mass in internal lines and the external momentum on the same mass shell is elaborated. The algorithm, based on recurrence relations obtained from the integration-by-parts method, allows us to reduce diagrams with arbitrary indices (powers of scalar propagators) to a set of master integrals. The SHELL2 package is used for the calculation of special types of diagrams. Analytical results for master integrals are collected.

Keywords

Cite

@article{arxiv.hep-ph/9907431,
  title  = {ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model},
  author = {J. Fleischer and M. Yu. Kalmykov},
  journal= {arXiv preprint arXiv:hep-ph/9907431},
  year   = {2014}
}

Comments

24 pages, elsart.sty; LaTeX, 4 eps-figures; in v4 the typos in Appendix A and C corrected