Symbology for elliptic multiple polylogarithms and the symbol prime

Understand

Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes.

• They can be characterized by their symbol, a tensor product in the so-called symbol letters.
• In contrast to the non-elliptic case, the elliptic letters themselves satisfy highly non-trivial identities, which we discuss in this paper.
• Moreover, we introduce the symbol prime, an analog of the symbol for elliptic symbol letters, which makes these identities manifest.