Direct numerical computation and its application to the higher-order radiative corrections

Understand

The direct computation method(DCM) is developed to calculate the multi-loop amplitude for general masses and external momenta.

• The ultraviolet divergence is under control in dimensional regularization.
• In this paper we report on the progress of DCM to several scalar multi-loop integrals after the presentation in ACAT2016.
• Also the discussion is given on the application of DCM to physical 2-loop processes including numerator functions.