Analytic Two-Loop Five-Parton QCD Amplitudes from Numerical Unitarity
by
Vasily Sotnikov
→
Europe/Berlin
313 (MPI Meeting rooms)
313
MPI Meeting rooms
Description
I present the recent calculation of analytic form of all two-loop five-parton helicity amplitudes
required for the computation 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.
Their systematic simplification using multivariate partial-fraction decomposition
leads to a particularly compact form. 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.
