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High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
Abstract:
We investigate iterated integrals on an elliptic curve, which are a natural
genus-one generalization of multiple polylogarithms. These iterated integrals
coincide with the multiple elliptic polylogarithms introduced by Brown and
Levin when constrained to the real line. At unit argument they reduce to an
elliptic analogue of multiple zeta values, whose network of relations we start
to explore. A simple and natural application of this framework are one-loop
scattering amplitudes in open superstring theory. In particular, elliptic
multiple zeta values are a suitable language to express their low energy limit.
Similar to the techniques available at tree-level, our formalism allows to
completely automatize the calculation.
