Abstract
Both CDF and DØ report a forward–backward asymmetry in \(t\bar{t}\) production that is above the standard model prediction. We review new physics models that can give a large forward backward asymmetry in \(t\bar{t}\) production at the Tevatron and the constraints these models face from searches for dijet resonances and contact interactions, from flavor physics and the \(t\bar{t}\) cross section. Expected signals at the LHC are also reviewed.
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Notes
In the \(p\bar{p}\) frame, another recent approximate NNLO calculation [7] yields \(A_{\mathrm{FB}}^{\mathrm{SM}}=0.052^{+0.000}_{-0.006}\) with m t =173 GeV, to be compared with the CDF value of \(A_{\mathrm{FB}}^{\mathrm{incl}}= 0.150 \pm0.058 \pm0.024\) [1]. Both SM predictions build upon the recent progress in approximate NNLO calculations [8–13] and previously known NLO results [14–16].
The most recent combination of CDF measurements [21] bears an even smaller error with \(\sigma^{\mathrm{incl}.}_{t\bar{t}} = (7.50\pm0.48)~\mathrm{pb}\), but was done assuming m t =172.5 GeV. Using the provided interpolation formulae in [17] yields \(\sigma_{t\bar{t}}^{\mathrm{SM}} = (6.75^{+0.08}_{-0.42})~\mathrm{pb}\) in the SM at approximate NNLO in QCD.
Here we are neglecting the effects of light quark mass insertions.
Note that this model does not implement an SU(2) flavor symmetry, therefore it has potential problems with both K–\(\bar{K}\) and D–\(\bar{D}\) mixings which can not be protected by simple U(1) d horizontal asymmetries [127].
In the t-channel models, the \(A_{\mathrm{FB}}^{t\bar{t}}\) provided from top polarization will enhance (compete with) the one from Rutherford enhancement in the vector boson (scalar) models [61].
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Acknowledgements
We would like to thank Ulrich Haisch for his useful comments and careful reading of the manuscript. The work of J.F.K. and J.Z. is supported in part by the Slovenian Research Agency. J.S. is supported in part by the World Premier International Research Center Initiative (WPI initiative) MEXT, Japan and the Grant-in-Aid for scientific research (Young Scientists (B) 21740169) from Japan Society for the Promotion of Science (JSPS).
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Kamenik, J.F., Shu, J. & Zupan, J. Review of new physics effects in \(t\bar{t}\) production. Eur. Phys. J. C 72, 2102 (2012). https://doi.org/10.1140/epjc/s10052-012-2102-2
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DOI: https://doi.org/10.1140/epjc/s10052-012-2102-2