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Five-Point Two-Loop Amplitudes from Numerical Unitarity

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arxiv 1807.09447 v1 pith:HBJUBCLS submitted 2018-07-25 hep-ph hep-th

Five-Point Two-Loop Amplitudes from Numerical Unitarity

classification hep-ph hep-th
keywords amplitudesnumericaltwo-loopunitarityadvancesapplicationarithmeticscoefficients
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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