Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.121603
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Funding
- U.S. Department of Energy [DE-SC0010010]
- Simons Fellowship Program in Theoretical Physics
- Danish Independent Research Fund [DFF-4002-00037]
- Danish National Research Foundation [DNRF91]
- Villum Fonden
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We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a fourfold, rational (Feynman-)parametric representation for the integral, expressed directly in terms of dual-conformally invariant cross ratios; from this, the desired form is easily obtained. The essential features of this integral are illustrated by means of a simplified toy model, and we attach the relevant expressions for both integrals in ancillary files. We propose a normalization for such integrals that renders all of their polylogarithmic degenerations pure, and we discuss the need for a new symbology of mixed iterated elliptic and polylogarithmic integrals in order to bring them to a more canonical form.
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