Sinc function representation and three-loop master diagrams - art. no. 085017

We test the Sine function representation, a novel method for numerically ev aluating Feynman diagrams, by using it to evaluate the three-loop master di agrams. Analytical results have been obtained for ail these diagrams, and w e find excellent agreement between our calculations and the exact values. T he Sine function representation converges rapidly, and it is straightforwar d to obtain accuracies of 1 part in 10(6) for these diagrams and with longe r runs we found results better than 1 part in 10(12). Finally, this paper e xtends the Sine function representation to diagrams containing massless pro pagators.