Determination of the QCD Parameter <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi>Λ</mi></mrow><mrow><mrow><mrow><mover><mrow><mi>MS</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></mrow><mrow><mo>(</mo><mn>5</mn><mo>)</mo></mrow></msubsup></mrow></math></span> from the Measured Energy Dependence of the Average Value of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mspace></mspace><mo>−</mo><mspace></mspace><mi mathvariant="normal">Thrust</mi></math></span>

J. M. Campbell; E. W. N. Glover; C. J. Maxwell

doi:10.1103/PhysRevLett.81.1568

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Determination of the QCD Parameter $Λ_{\bar{MS}}^{(5)}$ from the Measured Energy Dependence of the Average Value of $1 - Thrust$

J. M. Campbell, E. W. N. Glover, and C. J. Maxwell

Physics Department, University of Durham, Durham DH1 3LE, United Kingdom

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Phys. Rev. Lett. 81, 1568 – Published 24 August, 1998

DOI: https://doi.org/10.1103/PhysRevLett.81.1568

Abstract

We directly fit the experimentally measured energy dependence of the average value of $1 - thrust$ , $〈 1 - T 〉$ , over the $e^{+} e^{-}$ center-of-mass energy range $Q = 14 - 172 GeV$ to the quantum chromodynamics expectation obtained by integrating up the evolution equation for $d 〈 1 - T 〉 / d \log Q$ in terms of $〈 1 - T 〉$ . We fit for $Λ_{\bar{MS}}^{(5)}$ , uncalculated $O (α_{s}^{3})$ and higher perturbative corrections parametrized by the scheme invariant $ρ_{2}$ , and the parameter $λ$ which characterizes the magnitude of the leading $1 / Q$ power corrections. We find $Λ_{\bar{MS}}^{(5)} {= 245}_{- 17}^{+ 20} MeV$ , which is equivalent to $α_{s} (M_{Z}) = 0.1194 \pm 0.0014$ . In this approach, there is no error associated with the choice of the renormalization scale $μ$ .

References (11)

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[c1] MARK-J Collaboration, D. P. Barber et al., Phys. Lett. 85B, 463 (1979); MARK-J Collaboration, , Phys. Rev. Lett. 43, 901 (1979); PLUTO Collaboration, C. Berger et al., Z. Phys. C 12, 297 (1982); DELCO Collaboration, M. Sakuda et al., Phys. Lett. 152B, 399 (1985); MARK-II Collaboration, A. Peterson et al., Phys. Rev. D 37, 1 (1988); TASSO Collaboration, W. Braunschweig et al., Z. Phys. C 41, 359 (1988); CELLO Collaboration, H. Behrend et al., 44, 63 (1989); TASSO Collaboration, W. Braunschweig et al., 45, 11 (1989); MARK-II Collaboration, G. S. Abrams et al., Phys. Rev. Lett. 63, 1558 (1989); AMY Collaboration, Y. K. Li et al., Phys. Rev. D 41, 2675 (1990); TASSO Collaboration, W. Braunschweig et al., Z. Phys. C 47, 187 (1990); OPAL Collaboration, M. Z. Akrawy et al., 47, 505 (1990); L3 Collaboration, B. Adeva et al., 55, 39 (1992); ALEPH Collaboration, D. Buskulic et al., 55, 209 (1992); SLD Collaboration, K. Abe et al., Phys. Rev. D 51, 962 (1995); L3 Collaboration, M. Acciarri et al., Phys. Lett. B 371, 137 (1996); OPAL Collaboration, G. Alexander et al., Z. Phys. C 72, 191 (1996); DELPHI Collaboration, P. Abreu et al., 73, 11 (1996); DELPHI Collaboration, , 73, 229 (1997); ALEPH Collaboration, D. Buskulic et al., 73, 409 (1997); L3 Collaboration, M. Acciari et al., Phys. Lett. B 404, 390 (1997); OPAL Collaboration, K. Ackerstaff et al., Z. Phys. C 75, 193 (1997); DELPHI Collaboration, J. Drees et al., Proceedings of the DELPHI 97-92 Conference 77 (to be published); DELPHI Collaboration, , Proceedings of the 98-18 Conference 119 (to be published).

[c2] P. A. Movilla Fernández et al., Eur. Phys. J. C 1, 461 (1998).

[c3] R. K. Ellis, D. A. Ross, and A. E. Terrano, Nucl. Phys. B178, 421 (1981); Z. Kunszt, P. Nason, G. Marchesini, and B. R. Webber, in Z Physics at LEP 1, G. Altarelli, R. Kleiss, and C. Verzegnassi, (CERN Yellow Report 89-08), Vol. 1.

[c4] For reviews and classic references, see V. I. Zakharov, Nucl. Phys. B385, 452 (1992); A. H. Mueller, QCD 20 Years Later (World Scientific, Singapore, 1993), Vol. 1.

[c5] B. R. Webber, Phys. Lett. B 339, 148 (1994); hep-ph/9411384; G. P. Korchemsky and G. Sterman, Nucl. Phys. B437, 415 (1995); hep-ph/9505391; P. Nason and M. H. Seymour, Nucl. Phys. B454, 291 (1995); R. Akhoury and V. I. Zakharov, Phys. Lett. B 357, 646 (1995); Yu. L. Dokshitzer, G. Marchesini, and B. R. Webber, Nucl. Phys. B469, 93 (1996); R. Akhoury and V. I. Zakharov, B465, 295 (1996); Yu. L. Dokshitzer and B. R. Webber, Phys. Lett. B 404, 321 (1997).

[c6] Yu. L. Dokshitzer and B. R. Webber, Phys. Lett. B 352, 451 (1995).

[c7] G. Grunberg, Phys. Lett. 95B, 70 (1980); Phys. Rev. D 29, 2315 (1984).

[c8] A. Dhar and V. Gupta, Phys. Rev. D 29, 2822 (1984).

[c9] D. T. Barclay, C. J. Maxwell, and M. T. Reader, Phys. Rev. D 49, 3480 (1994).

[c10] C. J. Maxwell, Phys. Lett. B 409, 450 (1997).

[c11] R. M. Barnett et al., Phys. Rev. D 54, 1 (1996); 1997 off-year partial update from http://pdg.lbl.gov.

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Determination of the QCD Parameter $Λ_{\bar{MS}}^{(5)}$ from the Measured Energy Dependence of the Average Value of $1 - Thrust$

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Determination of the QCD Parameter ΛMS¯(5) from the Measured Energy Dependence of the Average Value of 1−Thrust

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References (11)

Determination of the QCD Parameter $Λ_{\bar{MS}}^{(5)}$ from the Measured Energy Dependence of the Average Value of $1 - Thrust$