279 research outputs found
Single-scale diagrams and multiple binomial sums
The -expansion of several two-loop self-energy diagrams with
different thresholds and one mass are calculated. On-shell results are reduced
to multiple binomial sums which values are presented in analytical form.Comment: 10 pp LaTeX, misprints in app. A and minor misprints in the text
correcte
Two-loop self-energy master integrals on shell
Analytic results for the complete set of two-loop self-energy master
integrals on shell with one mass are calculated.Comment: 14 pages, LaTeX, one eps-figure; in v5. misprints in the Eq.(2) and
Table II correcte
Recursion relations for two-loop self-energy diagrams on-shell
A set of recurrence relations for on-shell two-loop self-energy diagrams with
one mass is presented, which allows to reduce the diagrams with arbitrary
indices (powers of scalar propagators) to a set of the master integrals. The
SHELL2 package is used for the calculation of special types of diagrams. A
method of calculation of higher order \epsilon-expansion of master integrals is
demonstrated.Comment: Talk given by J.Fleischer at 6th International Workshop on Software
Engineering, Artificial Intelligence, Neural Nets, Genetic Algorithms,
Symbolic Algebra, Automatic Calculation (AIHENP 99), Heraklion, Crete,
Greece, 12-16 April, 1999; 8 pages, LaTeX, 3 eps-figure
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