Single-scale diagrams and multiple binomial sums
M.Yu. Kalmykov, O. Veretin

TL;DR
This paper computes the epsilon-expansion of complex two-loop self-energy diagrams with thresholds, reducing on-shell results to multiple binomial sums and providing their analytical values.
Contribution
It introduces a method to express two-loop self-energy diagrams' epsilon-expansion as multiple binomial sums with explicit analytical solutions.
Findings
Explicit analytical forms for the sums are provided.
The epsilon-expansion results are applicable to diagrams with different thresholds.
The approach simplifies complex two-loop calculations.
Abstract
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.
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