Tensorial reconstruction at the integrand level

G. Heinrich, G. Ossola, T. Reiter, F. Tramontano
2010 Journal of High Energy Physics  
We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the integration momentum. There are several interesting applications of this novel method within existing techniques for the reduction of one-loop multi-leg amplitudes: to deal with numerically unstable points, such as in the vicinity of a vanishing Gram determinant; to
more » ... ram determinant; to allow for a sampling of the numerator function based on real values of the integration momentum; to optimize the numerical reduction in the case of long expressions for the numerator functions.
doi:10.1007/jhep10(2010)105 fatcat:x6wzqnfbjjfn7evimv3zp2udjm