The top quark forward-backward asymmetry at approximate N${}^3$LO

Abstract

I calculate the top quark forward-backward asymmetry at the Tevatron in both the laboratory frame and the $t\bar{t}$ rest frame. I show that soft-gluon corrections are the dominant contribution to the asymmetry and closely approximate exact results through next-to-next-to-leading order (NNLO). I present a calculation of the asymmetry including approximate next-to-next-to-next-to-leading-order (N${}^3$LO) soft-gluon contributions from next-to-next-to-leading-logarithm (NNLL) resummation as well as electroweak corrections. Thus approximate N${}^3$LO (aN${}^3$LO) results are obtained, which significantly enhance and improve previous NNLO results. The theoretical aN${}^3$LO result for the top quark forward-backward asymmetry at the Tevatron in the laboratory frame is ($6.8\pm 0.3$)\%, and in the $t\bar{t}$ rest frame it is ($10.0\pm 0.6$)\% which is in excellent agreement with recent Tevatron data.

9 pages, 2 figures, 1 table; published version

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Cited by in corpus (9)

• Asymmetries in top quark pair production at hadron colliders
• Study of weak corrections to Drell-Yan, top-quark pair and dijet Production at high energies with MCFM
• Soft anomalous dimensions for single-top production at three loops
• Combined Forward-Backward Asymmetry Measurements in Top-Antitop Quark Production at the Tevatron
• Measurement of the charge asymmetry in top-quark pair production in association with a photon with the ATLAS experiment
• Observing the Top Energy Asymmetry at the LHC
• Top-pair and $tW$ production at approximate N${}^3$LO
• Measurement of the top-quark production cross-section and charge asymmetry at LHCb
• Top quark physics at the Tevatron