Abstract
We present the properties of the C-parameter as an event-shape variable. We calculate the coupling constants in the perturbative and also in the non-perturbative parts of the QCD theory, using the dispersive as well as the shape function models. By fitting the corresponding theoretical predictions to our data, we find \(\alpha _{\mathrm {s}} (M_{Z^{0}})\) = 0.117 ± 0.014 and α 0(μ I ) = 0.491 ± 0.043 for dispersive model and \(\alpha _{\mathrm {s}} (M_{Z^{0}})\) = 0.124 ± 0.015 and λ 1 = 1.234 ± 0.052 for the shape function model. Our results are consistent with the world average value of \(\alpha _{\mathrm {s}} (M_{Z^{0}})\) = 0.118 ± 0.002. All these features are explained in the main text.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A Gehrmann-De Ridder, T Gehrmann, E Glover, and G Heinrich, J. High Energy Phys. 05, 106 (2009)
R A Davison and B R Webber, Eur. Phys. J. C 59, 13 (2009)
R Saleh Moghaddam and M E Zomorrodian, Pramana – J. Phys. 81(5), 775 (2013)
R Saleh Moghaddam, M E Zomorrodian, and K Javidan, Rom. J. Phys. 60(1–2), 190 (2015)
G Parisi, Phys. Lett. B 74, 65 (1978)
J F Donoghue, F E Low, and S Y Pi, Phys. Rev. D 20, 2759 (1979)
A Courtoy, S Scopetta, and V Vento, Eur. Phys. J. A 47, 49 (2011)
T Gehrmann, M Jaquier, and G Luisoni, Eur. Phys. J. C 67, 57 (2010)
K G Chetyrkin, A Kataev, and F V Tkachov, Phys. Lett. B 85, 277 (1979)
M Dine and J R Sapirstein, Phys. Rev. Lett. 43, 668 (1979)
L R Surguladze and M A Samuel, Phys. Rev. Lett. 66, 560 (1991)
Yu L Dokshitzer, L Lucenti, G Marchesini, and G P Salam, Nucl. Phys. B 511, 396 (1998)
M Dasgupta, L Magnea, and G J Smye, J. High Energy Phys. 11, 025 (1999)
C Pahl, S Bethke, O Biebel, S Kluth, and J Schieck, Eur. Phys. J. C 64, 533 (2009)
Yu L Dokshitzer 11th Rencontres de Blois on Frontiers of Matter, 28 June-3 July 1999 (Chateau de Blois, France, 1999), arXiv:hep-ph/9911299v2
G Marchesini, Int. J. Mod. Phys. A 22, 5443 (2007)
G Korchemsky Talk given at conference C98-04-16, conference C98-03-21, p. 489, LPTHE-ORSAY-98-44 (1998), arXiv:hep-ph/9806537v1
G Korchemsky and S J Tafat, J. High Energy Phys. 10, 010 (2000)
C Pahl, S Bethke, O Biebel, S Kluth, and J Schieck, Eur. Phys. J. C 64, 351 (2009)
B Webber, Nucl. Phys. Proc. Suppl. 71, 66 (1999)
N Brambilla, Y Sumino and A Vairo, Phys. Lett. B 513, 381 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
SALEH-MOGHADDAM, R., ZOMORRODIAN, M.E. The properties of C-parameter and coupling constants. Pramana - J Phys 88, 5 (2017). https://doi.org/10.1007/s12043-016-1307-6
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-016-1307-6