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2021

The elliptic double box and symbology beyond polylogarithms

Kristensson, Alexander, Wilhelm, Matthias, Zhang, Chi

Understand

We study the elliptic double-box integral, which contributes to generic massless QFTs and is the only contribution to a particular 10-point scattering amplitude in N=4 SYM theory.

Based on a Feynman parametrization, we express this integral in terms of elliptic polylogarithms.
We then study its symbol, finding a rich structure and remarkable similarity with the non-elliptic case.
In particular, the first entry of the symbol is expressible in terms of logarithms of dual-conformal cross-ratios, and elliptic letters only occur in the last two entries.