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 fourloop massless
propagator integrals are evaluated in a Laurent expansion in
dimensional regularization parameter epsilon=(4d)/2 up to
transcendentality weight twelve. Only multiple zeta values are
present in these results.
