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A global determination of\(\alpha _s (M_{Z^0 } )\) at LEP

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

The value of the strong coupling constant,\(\alpha _s (M_{Z^0 } )\), is determined from a study of 15 different observables in hadronicZ 0 and τ decays. The study includes global event shape variables, jet production rates, energy correlations, theZ 0 line shape and decay asymmetries and the hadronic branching fraction of τ-leptons. Differences between the αs values from the different observables can be consistently attributed to unknown higher order contributions to the

calculations. These uncertaities may be parametrized by variations of the renormalization scale and of the parton virtuality to which the data are corrected, separately for each observable, resulting in a consistent description of the event shapes, jet rates and energy correlations with the value\(\alpha _s (M_{Z^0 } ) = 0.122_{ - 0.005}^{ + 0.006} \) in

. The error is dominated by the theoretical uncertainties. Application of recent calculations which include the resummation of leading and next-to-leading logarithms to all orders for some observables confirm this result with a reduced sensitivity to renormalization scale variations. TheZ 0 line shapes and τ-lepton branching ratios yield\(\alpha _s (M_{Z^0 } ) = 0.148 \pm 0.021\) and\(\alpha _s (M_{Z^0 } ) = 0.123_{ - 0.007}^{ + 0.006} \), respectively, in

. These measurements and their uncertainties are entirely independent of each other and from event shape and jet observables; the good agreement of the resulting αs values thus constitutes an important consistency check of the reliability of perturbative QCD.

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Author information

Author notes

  1. S. W. O'Neale

    Present address: School of Physics and Space Research, University of Birmingham, B15 2TT, Birmingham, UK

  2. G. Azuelos, A. K. Honma & C. J. Oram

    Present address: TRIUMF, V6T 2A3, Vancouver, Canada

  3. C. Fukunaga

    Present address: Meiji Gakuin University, Yokchama 244, Japan

  4. T. Mouthuy

    Present address: Faculté des Sciences de Luminy, Centre de Physique des Particules de Marseille, Marseille

  5. A. M. Rossi

    Present address: Dipartimento di Fisica, Università della Calabria and INFN, I-87036, Rende, Italy

  6. R. Sobie

    Present address: High Energy Physics Department, IPP, McGill University, 3600 University Str, H3A 2T8, Montreal, Quebec, Canada

  7. D. Strom

    Present address: Dept of Physics, University of Oregon, 97405, Eugene, OR, USA

  8. T. Takeshita

    Present address: Shinshu University, Matsumoto 390, Japan

Authors and Affiliations

  1. School of Physics and Space Research, University of Birmingham, B15 2TT, Birmingham, UK

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  2. Dipartimento di Fisica dell' Università di Bologna and INFN, I-40126, Bologna, Italy

    S. Arcelli, P. Capiluppi, M. Cuffiani, G. M. Dallavalle, M. M. Deninno, F. Fabbri, G. Giacomelli, C. Grandi, M. Jimack, S. Marcellini, A. Montanari, F. Odorici, B. Poli, A. M. Rossi & G. P. Siroli

  3. Physikalisches Institut, Universität Bonn, W-5300, Bonn 1, Germany

    O. Biebel, B. Boden, H. M. Fischer, C. Geich-Gimbel, T. P. Kokott, H. Kreutzmann, S. Levegrün, G. Maringer, P. Mättig, U. Maur, B. Nellen, A. Rollnik, S. Schreiber, J. Schwiening & A. Simon

  4. Department of Physics, University of California, 92521, Riverside, CA, USA

    M. Dittmar, J. W. Gary, W. Gorn, E. Heflin, C. Ho, W. J. Larson, J. G. Layter, J. Letts, B. P. O'Neill, H. Oh, K. Riles, B. C. Shen, G. J. VanDalen & Y. Yang

  5. Cavendish Laboratory, CB3 0HE, Cambridge, UK

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  6. Dept. of Physics, Carleton University, Colonel By Drive, K1S 5B6, Ottawa, Ontario, Canada

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  8. European Organisation for Particle Physics, CERN, CH-1211, Geneva 23, Switzerland

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  9. Enrico Fermi Institute and Department of Physics, University of Chicago, 60637, Chicago, IL, USA

    K. J. Anderson, H. G. Evans, S. W. Gensler, J. Kroll, F. S. Merritt, H. H. Nguyen, M. J. Oreglia, J. E. Pilcher, M. W. Redmond, J. M. Roney, D. Strom & D. L. Wagner

  10. Fakultät für Physik, Albert Ludwigs Universität, W-7800, Freiburg, Germany

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  11. Physikalisches Institut, Universität Heidelberg, W-6900, Heidelberg, Germany

    S. Bethke, P. Bock, H. M. Bosch, A. Dieckmann, G. Duckeck, P. Igo-Kemenes, H. Ihssen, J. von Krogh, P. Lennert, D. Menszner, H. von der Schmitt, R. Ströhmer, P. Teixeira-Dias, G. Tysarczyk-Niemeyer, M. Weber, N. Wermes & S. Wotton

  12. Dept of Physics, Indiana University, Swain Hall West 117, 47405, Bloomington, IN, USA

    B. B. Brabson, E. do Couto e Silva, G. G. Hanson, X. C. Lou, R. Mir, T. Mouthuy, H. O. Ogren, D. R. Rust & M. Settles

  13. Queen Mary and Westfield College, University of London, E1 4NS, London, UK

    G. J. Barker, A. A. Carter, W. R. Gibson, P. F. Harrison, R. W. L. Jones, P. Kyberd, S. L. Lloyd, A. J. Martin, T. W. Pritchard, S. A. Robins & P. Singh

  14. Birkbeck College, WC1E 7HV, London, UK

    M. Coupland

  15. University College London, WC1E 6BT, London, UK

    J. E. Conboy, C. P. Howarth, B. W. Kennedy, M. H. Lehto, D. J. Miller & P. Sherwood

  16. Department of Physics, Schuster Laboratory, The University, M13 9PL, Manchester, UK

    J. Allison, P. Ashton, G. A. Bahan, J. T. M. Baines, J. Banks, R. J. Barlow, I. P. Duerdoth, R. F. McGowan, R. E. Hughes-Jones, G. D. Lafferty, F. K. Loebinger, M. W. Moss, S. J. Pawley, K. Stephens, N. C. Wood & T. R. Wyatt

  17. Department of Physics and Astronomy, University of Maryland, MD-20742, College Park, MD, USA

    A. H. Ball, C. Y. Chang, D. G. Fong, S. R. Hou, A. Jawahery, R. G. Kellogg, A. M. Lee, J. M. Lorah, A. Skuja, G. A. Snow, R. W. Springer & G. T. Zorn

  18. Laboratoire de Physique Nucléaire, Université de Montréal, H3C 3J7, Montréal, Quebec, Canada

    G. Azuelos, G. Beaudion, J. Gascon, D. A. Hinshaw, H. Jeremie, F. Lamarche, P. Leblanc, C. Leroy, B. Lorazo, J. P. Martin, C. Moisan, H. Przysiezniak, P. Taras, D. Van den plas & M. Yurko

  19. Herzberg Institute of Astrophysics, National Research Council of Canada, K1A 0R6, Ottawa, Ontario, Canda

    D. E. Klem & C. J. Virtue

  20. Rutherford Appleton Laboratory, Chilton, OX11 0QX, Didcot, Oxfordshire, UK

    K. W. Bell, R. M. Brown, N. I. Geddes, J. D. Gillies, P. W. Jeffreys, R. P. Middleton, G. N. Patrick, W. G. Scott & M. Sproston

  21. DPhPE, CEN Saclay, F-91191, Gif-sur-Yvette, France

    P. Debu, A. Gaidot, F. X. Gentit, P. Le Du, J. P. Pansart, G. Vasseur & G. W. Wilson

  22. Department of Physics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    M. Cooper, S. Dado & J. Goldberg

  23. Department of Physics and Astronomy, Tel Aviv University, 69978, Tel Aviv, Israel

    G. Alexander, A. Beck, G. Bella, I. Cohen & E. Etzion

  24. International Centre for Elementary Particle Physics and Dept of Physics, University of Tokyo, Tokyo 113

    C. Fukunaga, K. Kawagoe, T. Kawamoto, T. Kobayashi, S. Komamiya, M. Kuwano, T. Mashimo, T. Mori, S. Orito, M. Sasaki, H. Takeda, T. Takeshita & T. Tsukamoto

  25. Kobe University, Kobe 657, Japan

    C. Fukunaga

  26. Brunel University, UB8 3PH, Uxbridge, Middlessex, UK

    P. D. Acton, P. E. L. Clarke, P. R. Hobson, D. C. Imrie, J. R. McNutt & G. Transtromer

  27. Nuclear Physics Department, Weizmann Institute of Science, 76100, Rehovot, Israel

    E. Duchovni, O. Ganel, D. Hochman, D. Lellouch, L. Levinson, G. Mikenberg, P. Paschievici, S. Tarem, T. Wlodek, R. Yaari & G. Yekutieli

  28. DESY, II Inst. für Experimental Physik, Universität Hamburg, W-2000, Hamburg 52, Germany

    T. Behnke, J. Hagemann, G. Quast & A. Wagner

  29. Dept of Physics, University of Victoria, PO Box 3055, V8W 3P6, Victoria, BC, Canada

    A. Astbury, M. Fincke-Keeler, A. K. Honma, R. K. Keeler, J. McKenna, C. J. Oram, D. Pitman, P. Poffenberger, M. Rosvick, P. Schenk & R. Sobie

  30. Dept of Physics, University of British Columbia, 6224 Agriculture Road, V6T 1Z1, Vancouver, BC, Canada

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On leave from Research Institute for Computer Peripherals, Hangzhou, PRC

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OPAL Collaboration., Acton, P.D., Alexander, G. et al. A global determination of\(\alpha _s (M_{Z^0 } )\) at LEP. Z. Phys. C - Particles and Fields 55, 1–24 (1992). https://doi.org/10.1007/BF01558285

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