Thumbnail
Access Restriction
Open

Author Freitas, Ayres ♦ Huang, Yi-Cheng
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-19
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics
Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph
Abstract An improved method is presented for the numerical evaluation of multi-loop integrals in dimensional regularization. The technique is based on Mellin-Barnes representations, which have been used earlier to develop algorithms for the extraction of ultraviolet and infrared divergencies. The coefficients of these singularities and the non-singular part can be integrated numerically. However, the numerical integration often does not converge for diagrams with massive propagators and physical branch cuts. In this work, several steps are proposed which substantially improve the behavior of the numerical integrals. The efficacy of the method is demonstrated by calculating several two-loop examples, some of which have not been known before.
Description Reference: JHEP 1004:074,2010
Educational Use Research
Learning Resource Type Article


Open content in new tab

   Open content in new tab