Coupling constant in dispersive model

Pramana

M E Zomorrodian¹  R Saleh-Moghaddam1¹ 

[1] Department of Physics, Faculty of Physics, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran$$

关键词: Electron and positron scattering;    perturbative calculations;    quantum Monte Carlo;    strong coupling expansions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The average of the moments for event shapes in 𝑒+ 𝑒- → hadrons within the context of next-to-leading order (NLO) perturbative QCD prediction in dispersive model is studied. Moments used in this article are $langle 1 - T angle, langle ρ angle, langle B_{T} angle$ and $langle B_{W} angle$. We extract 𝛼𝑠, the coupling constant in perturbative theory and α0 in the non-perturbative theory using the dispersive model. By fitting the experimental data, the values of 𝛼𝑠 $(M_{Z^{°}})$ = 0.1171 ± 0.00229 and 𝛼0 ($𝜇_{I} = 2{ext{GeV}}$) = 0.5068 ± 0.0440 are found. Our results are consistent with the above model. Our results are also consistent with those obtained from other experiments at different energies. All these features are explained in this paper.

【 授权许可】

Unknown