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.