https://doi.org/10.1140/epjc/s2003-01389-7
theoretical physics
The massless two-loop two-point function
1
Institut für Physik, Universität Mainz, 55099 , Mainz, Germany
2
Dipartimento di Fisica, Universitá di Parma, INFN Gruppo Collegato di Parma, 43100, Parma, Italy
We consider the massless two-loop two-point function with arbitrary powers of the propagators and derive a representation from which we can obtain the Laurent expansion to any desired order in the dimensional regularization parameter 
. As a side product, we show that in the Laurent expansion of the two-loop integral only rational numbers and multiple zeta values occur. Our method of calculation obtains the two-loop integral as a convolution product of two primitive one-loop integrals. We comment on the generalization of this product structure to higher loop integrals.
© Springer-Verlag, 2003
