%0 Journal Article %1 Fleischer2001ONSHELL2 %A Fleischer, J. %A Yu, %D 2001 %K perturb %T ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model %U http://arxiv.org/abs/hep-ph/9907431 %X 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.

@article{Fleischer2001ONSHELL2, 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.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Fleischer, J. and Yu}, biburl = {https://www.bibsonomy.org/bibtex/2fdf0077ae3eedc5fefba6fbb50882a4f/cmcneile}, citeulike-article-id = {10193810}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ph/9907431}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ph/9907431}, day = 14, eprint = {hep-ph/9907431}, interhash = {079e280d7b8686518aec56d039d0428e}, intrahash = {fdf0077ae3eedc5fefba6fbb50882a4f}, keywords = {perturb}, month = jan, posted-at = {2012-01-21 20:43:35}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{ON-SHELL2: FORM based package for the calculation of two-loop self-energy single scale Feynman diagrams occurring in the Standard Model}}, url = {http://arxiv.org/abs/hep-ph/9907431}, year = 2001 }