Next-to-next-to-leading orderO(αs4)results for heavy quark pair production in quark-antiquark collisions: The one-loop squared contributions

Abstract

We calculate the next-to-next-to-leading order $\mathcal{O}({\ensuremath{\alpha}}_{s}^{4})$ 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 $\mathcal{O}({\ensuremath{\alpha}}_{s}^{4})$ 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.