Single-scale diagrams and multiple binomial sums

Abstract

The $\epsilon$-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.

10 pp LaTeX, misprints in app. A and minor misprints in the text corrected

References in corpus (4)

• Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
• Two-loop self-energy master integrals on shell
• Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion
• Transcendental numbers and the topology of three-loop bubbles

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