Abstract
Hadronic event shape distributions from e+e− annihilation measured by the OPAL experiment at centre-of-mass energies between 91 GeV and 209 GeV are used to determine the strong coupling α S. The results are based on QCD predictions complete to the next-to-next-to-leading order (NNLO), and on NNLO calculations matched to the resummed next-to-leading-log-approximation terms (NNLO + NLLA). The combined NNLO result from all variables and centre-of-mass energies is
while the combined NNLO + NLLA result is
The completeness of the NNLO and NNLO + NLLA results with respect to missing higher order contributions, studied by varying the renormalization scale, is improved compared to previous results based on NLO or NLO + NLLA predictions only. The observed energy dependence of α S agrees with the QCD prediction of asymptotic freedom and excludes the absence of running.
References
O. Biebel, Phys. Rep. 340, 165 (2001)
S. Kluth, Rep. Prog. Phys. 69, 1771 (2006)
G. Dissertori, I.G. Knowles, M. Schmelling, International Series of Monographs on Physics, vol. 115 (Clarendon Press, Oxford, 2003)
H. Fritzsch, M. Gell-Mann, H. Leutwyler, Phys. Lett. B 47, 365 (1973)
D. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973)
D. Gross, F. Wilczek, Phys. Rev. D 8, 3633 (1973)
H. Politzer, Phys. Rev. Lett. 30, 1346 (1973)
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, G. Heinrich, J. High Energy Phys. 12, 094 (2007)
S. Weinzierl, Phys. Rev. Lett. 101, 162001 (2008)
T. Gehrmann, G. Luisoni, H. Stenzel, Phys. Lett. B 664, 265 (2008)
G. Dissertori et al., J. High Energy Phys. 02, 040 (2008)
S. Bethke, S. Kluth, C. Pahl, J. Schieck et al. (JADE Collaboration), Eur. Phys. J. C 64, 351 (2009)
G. Dissertori et al., J. High Energy Phys. 08, 036 (2009)
G. Dissertori et al., Phys. Rev. Lett. 104, 072002 (2010)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 40, 287 (2005)
K. Ahmet et al. (OPAL Collaboration), Nucl. Instrum. Methods A 305, 275 (1991)
S. Anderson et al. (OPAL Collaboration), Nucl. Instrum. Methods A 403, 326 (1998)
G. Aguillion et al. (OPAL Collaboration), Nucl. Instrum. Methods A 417, 266 (1998)
T. Sjöstrand, Comput. Phys. Commun. 82, 74 (1994)
S. Jadach, B. Ward, Z. Wa̧s, Phys. Lett. B 449, 97 (1999)
S. Jadach et al., Comput. Phys. Commun. 130, 260 (2000)
G. Marchesini et al., Comput. Phys. Commun. 67, 465 (1992)
G. Corcella et al., J. High Energy Phys. 01, 010 (2001)
J. Fujimoto et al., Comput. Phys. Commun. 100, 128 (1997)
S. Jadach et al., Comput. Phys. Commun. 119, 272 (1999)
J. Allison et al. (OPAL Collaboration), Nucl. Instrum. Methods A 317, 47 (1992)
L. Lönnblad, Comput. Phys. Commun. 71, 15 (1992)
G. Alexander et al. (OPAL Collaboration), Z. Phys. C 69, 543 (1996)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 35, 293 (2004)
S. Brandt, C. Peyrou, R. Sosnowski, A. Wroblewski, Phys. Lett. 12, 57 (1964)
E. Fahri, Phys. Rev. Lett. 39, 1587 (1977)
T. Chandramohan, L. Clavelli, Nucl. Phys. B 184, 365 (1981)
S. Catani, G. Turnock, B. Webber, Phys. Lett. B 295, 269 (1992)
G. Parisi, Phys. Lett. B 74, 65 (1978)
J. Donoghue, F. Low, S. Pi, Phys. Rev. D 20, 2759 (1979)
R. Ellis, D. Ross, A. Terrano, Nucl. Phys. B 178, 421 (1981)
S. Catani et al., Phys. Lett. B 269, 432 (1991)
M. Dasgupta, G. Salam, J. Phys. G 30, R143 (2004)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 45, 547 (2006)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 47, 295 (2006)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 26, 479 (2003)
O.V. Tarasov, A.A. Vladimirov, A.Y. Zharkov, Phys. Lett. B 93, 429 (1980)
S.A. Larin, J.A.M. Vermaseren, Phys. Lett. B 303, 334 (1993)
M. Ford, arXiv:hep-ex/0405054. Ph.D. thesis, University of Cambridge (2004)
G. Abbiendi et al. (OPAL Collaboration), Eur. Phys. J. C 16, 185 (2000)
R.W.L. Jones, M. Ford, G.P. Salam, H. Stenzel, D. Wicke, J. High Energy Phys. 12, 007 (2003)
P.A. Movilla Fernández, Ph.D. thesis, RWTH Aachen (2003). http://nbn-resolving.de/urn:nbn:de:hbz:82-opus-4836
P. Acton et al. (OPAL Collaboration), Z. Phys. C 59, 1 (1993)
A. Denner, S. Dittmaier, T. Gehrmann, C. Kurz, Nucl. Phys. B 836, 37 (2010)
T. Gehrmann, G. Luisoni, H. Stenzel, arXiv:0810.3599, to appear in High Energy Physics ICHEP 2008, Proceedings of the 34th International Conference (2008)
R.W.L. Jones, Nucl. Phys. B, Proc. Suppl. 133, 13 (2004)
A. Heister, et al. (ALEPH Collaboration), Eur. Phys. J. C 35, 457 (2004)
P. Achard, et al. (L3 Collaboration), Phys. Rep. 399, 71 (2004)
J. Abdallah et al. (DELPHI Collaboration), Eur. Phys. J. C 37, 1 (2004)
P. Acton et al. (OPAL Collaboration), Z. Phys. C 55, 1 (1992)
S. Bethke, Eur. Phys. J. C 64, 689 (2009)
Author information
Authors and Affiliations
Consortia
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
The OPAL Collaboration., Abbiendi, G., Ainsley, C. et al. Determination of α S using OPAL hadronic event shapes at \(\sqrt{s} = 91\mbox{--}209~\mathrm{GeV}\) and resummed NNLO calculations. Eur. Phys. J. C 71, 1733 (2011). https://doi.org/10.1140/epjc/s10052-011-1733-z
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-011-1733-z
Keywords
- Systematic Uncertainty
- High Energy Phys
- Total Uncertainty
- Event Shape
- Renormalization Scale