Five-Point Two-Loop Amplitudes from Numerical Unitarity

Understand

We present advances in the development of the numerical unitarity method for the computation of multi-loop amplitudes in QCD.

• As an application, we show results for all the leading-color two-loop five-gluon helicity amplitudes.
• The amplitudes are reduced to a linear combination of master integrals by employing unitarity-compatible integration-by-parts identities, and the corresponding integral coefficients are computed in an exact manner on rational phase-space points through finite fields arithmetics.