Extracting analytical one-loop amplitudes from numerical evaluations

Understand

In this article we present a method to generate analytic expressions for the integral coefficients of loop amplitudes using numerical evaluations only.

• We use high-precision arithmetic to explore the singularity structure of the coefficients and decompose them into parts of manageable complexity.
• To illustrate the usability of our method we provide analytical expressions for all helicity configurations of the colour-ordered six-point gluon amplitudes at one loop with a gluon in the loop.