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The direct computation method(DCM) is developed to calculate the multi-loopamplitude for general masses and external momenta. The ultraviolet divergenceis under control in dimensional regularization. In this paper we report on theprogress of DCM to several scalar multi-loop integrals after the presentationin ACAT2016. Also the discussion is given on the application of DCM to physical2-loop processes including numerator functions.

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