Next-to-next-to-leading order O(αs4) results for heavy quark pair production in quark-antiquark collisions:: The 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 quark-antiquark annihilations. These are part of the next-to-next-to-leading order O(alpha(4)(s)) radiative QCD corrections to this process. Our results, with the full mass dependence retained, are presented in a closed and very compact form, in the dimensional regularization scheme. We have found very intriguing factorization properties for the finite part of the amplitudes.