Abstract.
The perturbative QCD approach to multiparticle production predicts a characteristic suppression of particle multiplicity in a heavy-quark jet as compared to a light-quark jet. In the modified leading logarithmic approximation (MLLA) the multiplicity difference \(\delta_{Q\ell}\) between heavy- and light-quark jets is derived in terms of a few other experimentally measured quantities. The earlier prediction for b-quarks needs revision in the light of new experimental results and the improvement in the understanding of the experimental data. We now find \(\delta_{b\ell} = 4.4\pm0.4\). The updated MLLA results on \(\delta_{b\ell}\) and \(\delta_{c\ell}\) are compared with the present data from e + e - annihilation. Their expected energy independence is confirmed within the energy range between 29 and 200 GeV; the absolute values are now in better agreement with experiment than in the previous analysis, and the remaining difference can be attributed largely to next-to-MLLA contributions, an important subset of which are identified and evaluated.
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References
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan, in Proceedings of the 6th International Conference on Physics in Collisions, p. 417, edited by M. Derrick (World Scientific, Singapore 1987)
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan, J. Phys. G 17, 1481, 1602 (1991)
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan, Lund preprint LU-TP-92-10 (March 1992); Phys. Rev. D 53, 89 (1996)
For recent studies see, for example, M. Cacciari, S. Catani, Nucl. Phys. B 617, 253 (2001); M. Cacciari, E. Gardi, Nucl. Phys. B 664, 299 (2003) and references therein
S. Eidelman et al. (Particle Data Group), Phys. Lett. B 592, 1 (2004)
V.A. Khoze, W. Ochs, Int. J. Mod. Phys. A 12, 2949 (1997); V.A. Khoze, W. Ochs, J. Wosiek, in At the frontier of particle physics, edited by M. Shifman, Vol. 2, pp. 1101-1194 (hep-ph/0009298)
M. Battaglia, R. Orava, L. Salmi (for the DELPHI Collaboration), DELPHI 2004-037 CONF 712, July 29, 2004
Yu.L. Dokshitzer, D.E. Kharzeev, Phys. Lett. B 519, 199 (2001)
R. Thomas, B. Kampfer, G. Soff, Acta Phys. Hung. A 22, 83 (2005) (hep-ph/0405189)
N. Armesto, A. Dainese, C.A. Salgado, U.A. Wiedemann, Phys. Rev. D 71, 054027 (2005) (hep-ph/0501225)
W.C. Xiang et al. , hep-ph/0501041
V.A. Khoze, W.J. Stirling, P.H. Williams, Eur. Phys. J. C 31, 91 (2003) (hep-ph/0307292)
D. Borden, V.A. Khoze, W.J. Stirling, J. Ohnemus, Phys. Rev. D 50, 4499 (1994) (hep-ph/9405401)
Ya.I. Azimov, Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan, Z. Phys. C 27, 65 (1985); C 31, 213 (1986)
B.A. Schumm, Yu.L. Dokshitzer, V.A. Khoze, D.S. Koetke, Phys. Rev. Lett. 69, 3025 (1992)
A.V. Kisselev, V.A. Petrov, O.P. Yushchenko, Z. Phys. C 41, 521 (1988)
Yu.L. Dokshitzer, V.A. Khoze, A.H. Mueller, S.I. Troyan, Rev. Mod. Phys. 60, 373 (1988)
Yu.L. Dokshitzer, M. Olsson, Nucl. Phys. B 396, 137 (1993)
B.I. Ermolayev, V.S. Fadin, JETP Lett. 33, 285 (1981); A.H. Mueller, Phys. Lett. B 104, 161 (1981)
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan in Advanced Series on Directions in High Energy Physics, Perturbative Quantum Chromodynamics, edited by A.H. Mueller (World Scientific, Singapore), V. 5, 241 (1989); Yu.L. Dokshitzer, V.A. Khoze, A.H. Mueller, S.I. Troyan, Basics of Perturbative QCD, edited by J. Tran Thanh Van (Editions Frontiéres, Gif-sur-Yvette 1991)
F.E. Low, Phys. Rev. 110, 974 (1958); T.H. Burnett, N.M. Kroll, Phys. Rev. Lett. 20, 86 (1968)
Yu.L. Dokshitzer, V.A. Khoze, W.J. Stirling, Nucl. Phys. B 428, 3 (1994)
Yu.L. Dokshitzer, V.S. Fadin, V.A. Khoze, Phys. Lett. B 115, 242 (1982); Z. Phys. C 15, 325 (1982)
I.I. Bigi et al. , Phys. Lett. B 181, 157 (1986)
V.A. Khoze, L.H. Orr, W.J. Stirling, Nucl. Phys. B 378, 413 (1992); Yu.L. Dokshitzer, V.A. Khoze, L.H. Orr, W.J. Stirling, Nucl. Phys. B 403, 65 (1993)
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan, Sov. J. Nucl. Phys. 47, 881 (1988)
P. Eden, G. Gustafson, V.A. Khoze, Eur. Phys. J. C 11, 345 (1999)
V.A. Petrov, V.A. Kisselev, Z. Phys. C 66, 453 (1995).
MARK II Collaboration: P.C. Rowson et al. , Phys. Rev. Lett. 54, 2580 (1985)
DELCO Collaboration: M. Sakuda et al. , Phys. Lett. B 152, 399 (1985)
HRS Collaboration: P. Kesten et al. , Phys. Lett. B 161, 412 (1985)
TPC Collaboration: H. Aihara et al. , Phys. Lett. B 184, 299 (1987)
TASSO Collaboration: W. Braunschweig et al. , Z. Phys. C 42, 17 (1989)
TASSO Collaboration: M. Althoff et al. , Phys. Lett. B 135, 243 (1984)
TOPAZ Collaboration: K. Nagai et al. , Phys. Lett. B 278, 506 (1992)
VENUS Collaboration: K. Okabe et al. , Phys. Lett. B 423, 407 (1998)
MARK II Collaboration: B.A. Schumm et al. , Phys. Rev. D 46, 453 (1992)
OPAL Collaboration: R. Akers et al. , Z. Phys. C 61, 209 (1994)
SLD Collaboration: K. Abe et al. , Phys. Rev. Lett. 72, 3145 (1994)
DELPHI Collaboration: P. Abreu et al. , Phys. Lett. B 347, 447 (1995)
OPAL Collaboration: R. Akers et al. , Phys. Lett. B 352, 176 (1995)
SLD Collaboration: K. Abe et al. , Phys. Lett. B 386, 475 (1996)
DELPHI Collaboration: P. Abreu et al. , Phys. Lett. B 479, 118 (2000); Erratum B 492, 398 (2000)
OPAL Collaboration: G. Abbiendi et al. , Phys. Lett. B 550, 33 (2002)
SLD Collaboration: K. Abe et al. , Phys. Rev. D 69, 072003 (2004).
J. Chrin, in Proceedings of the 27th International Conference on High Energy Physics, Glasgow, UK, 20-27 July 1994, edited by P.J. Bussey, I.G. Knowles, p. 893
A. De Angelis, W. Metzger, in Proceedings of the 1995 International Europhysics Conference on High Energy Physics, Brussels, Belgium, 27 July-2 August 1995, edited by J. Lemonne, C. Vander Velde, F. Verbeure (World Scientific, Singapore), pp. 63, 37
A. De Angelis, Nucl. Phys. Proc. Suppl. 79, 475 (1999).
P. Abreu, A. De Angelis, DELPHI NOTE 2002-052 CONF 586, June 2002
M. Siebel, Dissertation, Bergische Univ. Wuppertal, WUB-DIS 2003-11; K. Hamacher, presented at the XXXIV International Symposion Multiparticle Dynamics (ISMD 2004), Sonoma county, CA, July 2004
M. Siebel, K. Hamacher, J. Drees, DELPHI 2004-030, CONF 705, July 27, 2004
ALEPH, CDF, DELPHI, L3, OPAL and SLD Collaborations: Combined results on B-hadron production rates and decay properties, D. Abbaneo et al. , CERN-EP-2001-05 (hep-ex/0112028), SLAC-PUB-9500
OPAL Collaboration: R. Akers et al. , Z. Phys. C 61, 209 (1994)
M. Battaglia et al. , CERN Yellow Report 2003-002-cor; based on the Workshop on CKM Unitarity Triangle (CERN 2002-2003) (hep-ph/0304132)
A.H. Hoang, Phys. Rev. D 59, 014039 (1999)
I.I. Bigi, M. Shifman, N.G. Uraltsev, A. Vainshtein, Phys. Rev. D 52, 196 (1995); D 56, 40170 (1997)
T. Sjöstrand, in Z Physics at LEP1, edited by G. Altarelli, R. Kleiss, C. Verzegnassi, Vol. 3, 1989, p. 331, CERN 89-08
\(\gamma\gamma2\) Collaboration: C. Bacci et al. , Phys. Lett. B 86, 234 (1979)
MARK I Collaboration: J.L. Siegrist et al. , Phys. Rev. D 26, 969 (1982)
LENA Collaboration: B. Niczyporuk et al. , Z. Phys. C 9, 1 (1981)
CLEO Collaboration: M.S. Alam et al. , Phys. Rev. Lett. 49, 357 (1982)
ARGUS Collaboration: H. Albrecht et al. , Z. Phys. C 54, 13 (1992)
JADE Collaboration: W. Bartel et al. , Z. Phys. C 20, 187 (1983)
TASSO Collaboration: W. Braunschweig et al. , Z. Phys. C 45, 193 (1989)
HRS Collaboration: M. Derrick et al. , Phys. Rev. D 34, 3304 (1986)
TPC/Two-gamma Collaboration: H. Aihara et al. , Phys. Lett. B 134, 299 (1987)
AMY Collaboration: H.W. Zheng et al. , Phys. Rev. D 42, 737 (1990)
TOPAZ Collaboration: N. Nakabayashi et al. , Phys. Lett. B 413, 447 (1997)
VENUS Collaboration: K. Okabe et al. , Phys. Lett. B 423, 407 (1998)
MARK II Collaboration: G.S. Abrams et al. , Phys. Rev. Lett. 64, 1334 (1990)
ALEPH Collaboration: D. Buskulic et al. , Z. Phys. C 69, 15 (1995)
DELPHI Collaboration: P. Abreu et al. , Eur. Phys. J. C 6, 19 (1999)
L3 Collaboration: B. Adeva et al. , Phys. Lett. B 259, 199 (1991)
OPAL Collaboration: R. Akers et al. , Z. Phys. C 68, 203 (1995).
OPAL Collaboration: P.D. Acton et al. , Z. Phys. C 53, 539 (1992)
S. Lupia, W. Ochs, Phys. Lett. B 418, 214 (1998)
I.M. Dremin, J.W. Gary, Phys. Lett. B 459, 341 (1999); Phys. Rep. 349, 301 (2001)
V.N. Baier, V.A. Khoze, Sov. Phys. JETP 21, 629 (1965)
T. Sjöstrand, private communication
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Dokshitzer, Y.L., Fabbri, F., Khoze, V.A. et al. Multiplicity difference between heavy- and light-quark jets revisited. Eur. Phys. J. C 45, 387–400 (2006). https://doi.org/10.1140/epjc/s2005-02424-5
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DOI: https://doi.org/10.1140/epjc/s2005-02424-5