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Published June 1, 2008 | public
Journal Article Open

Top jets in the peak region: Factorization analysis with next-to-leading-log resummation

Abstract

We consider top quarks produced at large energy in e+e- collisions, and address the question of what top mass can be measured from reconstruction. The production process is characterized by well-separated scales: the center-of-mass energy Q, the top mass m, the top decay width Gammat, and also LambdaQCD; scales which can be disentangled with effective theory methods. In particular we show how the mass measurement depends on the way in which soft radiation is treated, and that this can shift the mass peak by an amount of order QLambdaQCD/m. We sum large logs for Q>>m>>Gammat>LambdaQCD and demonstrate that the renormalization group ties together the jet and soft interactions below the scale m. Necessary conditions for the invariant mass spectrum to be protected from large logs are formulated. Results for the cross section are presented at next-to-leading order with next-to-leading-log (NLL) resummation, for invariant masses in the peak region and the tail region. Using our results we also predict the thrust distribution for massive quark jets at NLL order for large thrust. We demonstrate that soft radiation can be precisely controlled using data on massless jet production, and that in principle, a short-distance mass parameter can be measured using jets with precision better than LambdaQCD.

Additional Information

©2008 The American Physical Society. (Received 21 November 2007; published 5 June 2008) We would like to thank B. Holdom, A. Juste, V. Khoze, S. Kluth, J.H. Kühn, S. Menke, M. Peskin, and G. Salam for helpful discussions and communication. We thank the Max-Planck Institute for Physics for hospitality while parts of this work were completed. This work was supported in part by the Department of Energy Office of Nuclear Science under the grants No. DE-FG02-94ER40818 and No. DE-FG03-92ER40701, and in part by the EU network Contract No. MRTN-CT-2006-035482 (FLAVIAnet).

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August 22, 2023
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