Seminars and Journal Clubs

Analytic Two-Loop Five-Parton QCD Amplitudes from Numerical Unitarity

by Vasily Sotnikov (Freiburg)

Europe/Brussels
1-3rd floor-E.349 - Seminar room (E.349) (Cyclotron)

1-3rd floor-E.349 - Seminar room (E.349)

Cyclotron

30
Description

I present the recent calculation of the analytic form of all two-loop five-parton helicity amplitudes required for the calculation of NNLO QCD corrections to the production of three jets at hadron colliders in the leading-color approximation. I discuss how a combination of numerical evaluation of amplitudes through numerical unitarity with a dedicated algorithm of multivariate rational function reconstruction allows to obtain the analytic form of the amplitudes from exact numerical evaluations over finite fields. With these methods, a sample with a size comparable to that required for numerical Monte-Carlo integration is sufficient to produce analytic expressions. The approach is robust and flexible, opening the possibilities to tackle a number of important Standard Model processes in the future.

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