Heidelberg Mathematical Physics Seminar
April 20, 2012

Vladimir A. Smirnov (Moscow)

Evaluating Feynman integrals by dimensional recurrence relations

To evaluate multiloop Feynman integrals a recently developed method based on dimensional recurrence relations is applied. Examples of applications of this method are presented. In particular, all the master integrals for four-loop massless propagator integrals are evaluated in a Laurent expansion in dimensional regularization parameter epsilon=(4-d)/2 up to transcendentality weight twelve. Only multiple zeta values are present in these results.