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Top-quark production and QCD

  • Regular Article - Theoretical Physics
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Abstract

We review theoretical calculations for top-quark production that include complete next-to-leading-order QCD corrections as well as higher-order soft-gluon corrections from threshold resummation. We discuss in detail the differences between various approaches that have appeared in the literature and review results for top-quark total cross sections and differential distributions at the Tevatron and the LHC.

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Notes

  1. The parametric scaling \(M_{t\bar{t}}\sim m_{t}\) is assumed, which is valid as long as the top quarks are not too highly boosted.

  2. This was shown in detail in [70, 74], and later in many other cases, including heavy-quark production in the production threshold limit [61]. The same techniques apply to PIM and 1PI kinematics but an analysis has not yet appeared in the literature.

  3. Note that independent variations of μ F and μ R in [14] do not increase the uncertainty for LHC energies.

  4. Experiment actually measures the asymmetry with respect to the rapidity difference \(y_{t}-y_{\bar{t}}\), but this is equivalent to (37) in the \(t\bar{t}\) frame so we do not distinguish this as a separate observable.

  5. In comparing results it is important to note that [16] does not expand the FB asymmetry in α s , evaluating instead the denominator of (37) numerically at NNLO with no further expansion.

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Acknowledgements

The work of N.K. was supported by the National Science Foundation under Grant No. PHY 0855421.

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  1. Kennesaw State University, Physics #1202, Kennesaw, GA, 30144, USA

    Nikolaos Kidonakis

  2. Institut für Physik (THEP), Johannes Gutenberg-Universität, 55099, Mainz, Germany

    Ben D. Pecjak

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  1. Nikolaos Kidonakis
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Correspondence to Nikolaos Kidonakis.

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Kidonakis, N., Pecjak, B.D. Top-quark production and QCD. Eur. Phys. J. C 72, 2084 (2012). https://doi.org/10.1140/epjc/s10052-012-2084-0

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