N${}^3$LO approximate results for top-quark differential cross sections and forward-backward asymmetry

Abstract

I present a calculation of approximate N${}^3$LO corrections from NNLL soft-gluon resummation for differential distributions in top-antitop pair production in hadronic collisions. Soft-gluon corrections are the dominant contribution to top-quark production and closely approximate exact results through NNLO. I show aN${}^3$LO results for the total $t\bar{t}$ cross section, the top-quark $p_T$ and rapidity distributions, and the top-quark forward-backward asymmetry. The higher-order corrections are significant and they reduce theoretical uncertainties.

Comments: 6 pages, 5 figures; presented at the XXIII International Workshop on Deep-Inelastic Scattering and Related Subjects, Dallas, Texas, 27 April - 1 May 2015; to appear in PoS(DIS2015)