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2016

Elliptic scattering equations

Cardona, Carlos, Gomez, Humberto

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Recently the CHY approach has been extended to one loop level using elliptic functions and modular forms over a Jacobian variety.

Due to the difficulty in manipulating these kind of functions, we propose an alternative prescription that is totally algebraic.
This new proposal is based on an elliptic algebraic curve embedded in a $\mathbb{C}P^2$ space.
We show that for the simplest integrand, namely the ${\rm n-gon}$, our proposal indeed reproduces the expected result.

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