2017/12/18 by Samuel Abreu, Fernando Febres Cordero, Harald Ita +2 · 1 citation
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.97.116014
published as Phys. Rev. D 97, 116014 (2018) · Additional references and text improvements
arxiv created 2017/12/18 · arxiv updated 2018/06/27
We present a calculation of the planar two-loop five-gluon amplitudes. The amplitudes are obtained in a variant of the generalized unitarity approach suitable for numerical computations, which we extend for use with finite field arithmetics. Employing a new method for the generation of unitarity-compatible integration-by-parts identities, all helicity amplitudes are reduced to a linear combination of master integrals for the first time. The approach allows us to compute exact values for the integral coefficients at rational phase-space points. All required master integrals are known analytically, and we obtain arbitrary-precision values for the amplitudes.