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A new observable to measure the top-quark mass at hadron colliders

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Abstract

A new method to measure the top-quark mass in high energetic hadron collisions is presented. We use theoretical predictions calculated at next-to-leading order accuracy in quantum chromodynamics to study the (normalized) differential distribution of the \(t\bar{t} + 1\mbox{-jet}\) cross section with respect to its invariant mass \(\sqrt{s_{t\bar{t} j}}\). The sensitivity of the method to the top-quark mass together with the impact of various theoretical and experimental uncertainties has been investigated and quantified. The new method allows for a complementary measurement of the top-quark mass parameter and has a high potential to become competitive in precision with respect to established approaches. Furthermore we emphasize that in the proposed method the mass parameter is uniquely defined through one-loop renormalization.

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Notes

  1. Private communication with Pavel Nadolsky.

  2. We observe that in this distribution also the argument of α s plays a role in determining the spectrum: if the second jet is generated by the shower, typically there would be an α s (p T ) factor associated to that emission. Instead, when computed with the exact matrix element, our choice of μ r =m t will results in a larger α s value and thus a harder spectrum, for p T >m t .

  3. A related analysis has been presented in Ref. [26]. However, in Ref. [26] no additional jet was required in the event selection.

  4. \(M^{W}_{T}=\sqrt{2 p_{T}^{\ell} p_{T}^{\nu}(1-\cos(\phi^{\ell}- \phi^{\nu}))}\) where ℓ is the lepton and ν is the neutrino coming from the W→ℓν.

  5. Due to the unavailability of the \(t\bar{t} + 1\mbox{-jet}\) implementation in MC@NLO, this comparison was limited to a \(t \bar{t} \) NLO event sample.

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Acknowledgements

We acknowledge discussions with R. Nisius and S. Martí. We also thank T. Sjostrand for his comments and suggestions to study the color reconnection effects and M. Mangano for his comments on the manuscript. This work is partially supported by the Helmholtz Alliance “Physics at the Terascale” HA-101, by the German Federal Ministry for Education and Research (05H12KHE), by the Spanish Ministry of Economy and Competitivity (FPA2012-39055-C02-01 and AIC-D-2011-0688), by the German Research Foundation (DFG) through SFB-TR9 (B1), and by the European Commission through contract PITN-GA-2010-264564 (LHCPhenoNet).

Author information

Authors and Affiliations

  1. LBNL & UC Berkeley, 1 Cyclotron Road, Berkeley, CA, 94720, USA

    S. Alioli

  2. IFIC, Universitat de València and CSIC, Catedrático Jose Beltrán 2, 46980, Paterna, Spain

    P. Fernandez, J. Fuster, A. Irles & M. Vos

  3. II. Inst. für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    S. Moch

  4. DESY, Platanenallee 6, 15738, Zeuthen, Germany

    S. Moch

  5. Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489, Berlin, Germany

    P. Uwer

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  1. S. Alioli
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  2. P. Fernandez
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Corresponding author

Correspondence to P. Uwer.

Appendix

Appendix

Table 3 Similar to Table 1 but for a p T cut of 25 GeV in difference from 50 GeV used in Table 1
Full size table
Table 4 Similar to Table 2 but for \(m_{t}^{\mathrm{pole}}=172.5~\mathrm{GeV}\)
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Alioli, S., Fernandez, P., Fuster, J. et al. A new observable to measure the top-quark mass at hadron colliders. Eur. Phys. J. C 73, 2438 (2013). https://doi.org/10.1140/epjc/s10052-013-2438-2

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