Heavy quark pair production in gluon fusion at next-to-next-to-leading O(αs4) order: One-loop squared contributions

We calculate the next-to-next-to-leading-order O(alpha(4)(s)) one-loop squared corrections to the production of heavy-quark pairs in the gluon-gluon fusion process. Together with the previously derived results on the q (q) over bar production channel, the results of this paper complete the calculation of the one-loop squared contributions of the next-to-next-to-leading-order O(alpha(4)(s)) radiative QCD corrections to the hadroproduction of heavy flavors. Our results, with the full mass dependence retained, are presented in a closed and very compact form, in dimensional regularization.