HET journal club: Yang Zhang (NBIA) – Niels Bohr Institute - University of Copenhagen

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HET journal club: Yang Zhang (NBIA)

Integrand-level reduction of scattering amplitudes: an algebraic geometry story

Integrand-level reduction is a powerful method for loop scattering amplitudes computation. We present an algebraic geometry approach for Integrand-level reduction, which is valid for any renormalizable theories and arbitrary loop orders, in principle. We also show some explicit two-loop and three-loop N=0,1,2,4 (super)-Yang-Mills amplitudes examples, based on our methods.

The references are

http://arxiv.org/pdf/1207.2976.pdf Simon Badger, Hjalte Frellesvig and YZ

http://arxiv.org/pdf/1205.5707.pdf YZ

http://arxiv.org/pdf/1202.2019v2.pdf Simon Badger, Hjalte Frellesvig and YZ

For mathematical concepts, please refer to the short introduction on wiki,

http://en.wikipedia.org/wiki/Algebraic_geometry