University of Cambridge > Talks.cam > HEP phenomenology joint Cavendish-DAMTP seminar > Integration-by-parts identities and multi-loop QCD amplitudes

Integration-by-parts identities and multi-loop QCD amplitudes

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Abstract: Integration-by-parts identities (IBPs) are widely used when computing multi-loop scattering amplitudes. The solution of large systems of IBPs is a major bottleneck in the computation of high-precision QCD amplitudes for processes observed at the LHC , such as 3-jet production. In this talk, I will discuss my current work on IBPs, first presented in hep-ph/1805.09182, where we introduce a new strategy for solving systems of IBPs, especially applicable to problems with many kinematic scales and/or many master integrals. Using this strategy, we have solved the integration-by-parts (IBP) identities needed for the computation of any planar 2-loop 5-point massless amplitude in QCD . We have also derived some new results for the most complicated non-planar topology. Ultimately, we anticipate that the remaining non-planar contributions can be computed in analytic form.

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

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