Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-03-21
JHEP0506:051,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, uses axodraw.sty
Scientific paper
10.1088/1126-6708/2005/06/051
In this article we present a high-precision evaluation of the expansions in $\e=(4-d)/2$ of (up to) four-loop scalar vacuum master integrals, using the method of difference equations developed by S. Laporta. We cover the complete set of `QED-type' master integrals, i.e. those with a single mass scale only (i.e. $m_i\in\{0,m\}$) and an even number of massive lines at each vertex. Furthermore, we collect all that is known analytically about four-loop `QED-type' masters, as well as about {\em all} single-mass-scale vacuum integrals at one-, two- and three-loop order.
Schroder York
Vuorinen Aleksi
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