Box ladders in a noninteger dimension

@article{Gonzlez2012BoxLI,
  title={Box ladders in a noninteger dimension},
  author={I. Gonz{\'a}lez and I. Kondrashuk},
  journal={Theoretical and Mathematical Physics},
  year={2012},
  volume={177},
  pages={1515-1539}
}
We construct a family of triangle-ladder diagrams that can be calculated using the Belokurov-Usyukina loop reduction technique in d=4−2ɛ dimensions. The main idea of the approach we propose is to generalize this loop reduction technique existing in d=4 dimensions. We derive a recurrence relation between the result for an L-loop triangle-ladder diagram of this family and the result for an (L-1)-loop triangleladder diagram of the same family. Because the proposed method combines analytic and… Expand
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