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Elliptic Functions and Maximal Unitarity · Around

2014

Elliptic Functions and Maximal Unitarity

Sogaard, Mads, Zhang, Yang

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Scattering amplitudes at loop level can be reduced to a basis of linearly independent Feynman integrals.

The integral coefficients are extracted from generalized unitarity cuts which define algebraic varieties.
The topology of an algebraic variety characterizes the difficulty of applying maximal cuts.
In this work, we analyze a novel class of integrals whose maximal cuts give rise to an algebraic variety with irrational irreducible components.

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