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The Double Box and Hexagon Conformal Feynman Integrals

High Energy Physics - Theory 2020-11-18 v1 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

The off-shell massless six-point double box and hexagon conformal Feynman integrals with generic propagator powers are expressed in terms of linear combinations of multiple hypergeometric series of the generalized Horn type. These results are derived from 9-fold Mellin-Barnes representations obtained from their dual conformal Feynman parameter representations. The individual terms in the presented expressions satisfy the differential equation that relates the double box in DD dimensions to the hexagon in D+2D+2 dimensions.

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Cite

@article{arxiv.2007.08360,
  title  = {The Double Box and Hexagon Conformal Feynman Integrals},
  author = {B. Ananthanarayan and Sumit Banik and Samuel Friot and Shayan Ghosh},
  journal= {arXiv preprint arXiv:2007.08360},
  year   = {2020}
}

Comments

26 pages, 1 figure

R2 v1 2026-06-23T17:10:09.635Z