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Integration-by-parts reductions from algebraic geometry

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If you have a question about this talk, please contact Francesco Coradeschi .

Integration-by-parts (IBP) reductions form the very core of computations of multi-loop scattering amplitudes in QCD and the electroweak theory, which are crucial for precision LHC physics. In this talk I discuss a new and highly efficient approach for generating the IBP reductions. The approach makes use of ideas from modern unitarity and from algebraic geometry, which I will explain. I then demonstrate the power of the approach by performing fully analytically IBP reductions relevant for two-loop five-gluon scattering in QCD which are well beyond the capabilities of publicly available IBP solvers.

The slides of the presentation can be found here

This talk is part of the HEP phenomenology joint Cavendish-DAMTP seminar series.

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