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We present a semi-analytic method for the integrand reduction of one-loopamplitudes, based on the systematic application of the Laurent expansions tothe integrand-decomposition. In the asymptotic limit, the coefficients of themaster integrals are the solutions of a diagonal system of equations, properlycorrected by counterterms whose parametric form is konwn a priori. The Laurentexpansion of the integrand is implemented through polynomial division. Theextension of the integrand-reduction to the case of numerators with rank largerthan the number of propagators is discussed as well.

Integrand reduction of one-loop scattering amplitudes through Laurent series expansion