Novel method for the precise determination of the QCD running coupling from event shape distributions in electronpositron annihilation
Abstract
We present a novel method for precisely determining the running QCD coupling constant ${\alpha}_{s}\left({Q}^{2}\right)$ over a wide range of ${Q}^{2}$ from event shapes for electronpositron annihilation measured at a single annihilation energy $\sqrt{s}$. The renormalization scale ${Q}^{2}$ of the running coupling depends dynamically on the virtuality of the underlying quark and gluon subprocess and thus the specific kinematics of each event. The determination of the renormalization scale for event shape distributions is obtained by using the principle of maximum conformality (PMC), a rigorous scalesetting method for gauge theories which satisfies all the requirements of renormalization group invariance, including renormalizationscheme independence and consistency with Abelian theory in the ${N}_{C}\to 0$ limit. In this paper, we apply the PMC to two classic event shapes measured in ${e}^{+}{e}^{\u2013}$ annihilation: the thrust ( $T$) and Cparameter ( $C$). The PMC renormalization scale depends differentially on the values of $T$ and $C$. The application of PMC scalesetting determines the running coupling ${\alpha}_{s}\left({Q}^{2}\right)$ to high precision over a wide range of ${Q}^{2}$ from 10 to $250\text{}\text{}{\mathrm{GeV}}^{2}$ from measurements of the event shape distributions at the ${Z}^{0}$ peak. The extrapolation of the running coupling using pQCD evolution gives the value ${\alpha}_{s}\left({M}_{Z}^{2}\right)=0.1185\pm 0.0012$ from the thrust and ${\alpha}_{s}\left({M}_{Z}^{2}\right)=0.119{3}_{\u20130.0019}^{+0.0021}$ from the Cparameter in the $\overline{\mathrm{MS}}$ scheme. These determinations of ${\alpha}_{s}\left({M}_{Z}^{2}\right)$ are consistent with the world average and are more precise than the values obtained from analyses of event shapes currently used in the world average. The highly consistent results for the $T$ and $C$ eventshape distributions provide an additional verification of the applicability of the PMC to pQCD.
 Authors:

 Guizhou Minzu Univ. Guiyang, (China); SLAC National Accelerator Lab., Menlo Park, CA (United States)
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Chongqing Univ. (China)
 Hunan Univ., Changsha (China)
 SLAC National Accelerator Lab., Menlo Park, CA (United States); Univ. of Insubria, Como (Italy)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE; Natural Science Foundation of China
 OSTI Identifier:
 1573861
 Alternate Identifier(s):
 OSTI ID: 1596796
 Report Number(s):
 SLACPUB17458; arXiv:1908.00060v2
Journal ID: ISSN 24700010; PRVDAQ; TRN: US2102417
 Grant/Contract Number:
 11625520; 11705033; 11847301; 11905056; KY[2016]028; KY[2017]067; AC0276SF00515; SLACPUB17458
 Resource Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 9; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Wang, ShengQuan, Brodsky, Stanley J., Wu, XingGang, Shen, JianMing, and Di Giustino, Leonardo. Novel method for the precise determination of the QCD running coupling from event shape distributions in electronpositron annihilation. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.094010.
Wang, ShengQuan, Brodsky, Stanley J., Wu, XingGang, Shen, JianMing, & Di Giustino, Leonardo. Novel method for the precise determination of the QCD running coupling from event shape distributions in electronpositron annihilation. United States. https://doi.org/10.1103/PhysRevD.100.094010
Wang, ShengQuan, Brodsky, Stanley J., Wu, XingGang, Shen, JianMing, and Di Giustino, Leonardo. Mon .
"Novel method for the precise determination of the QCD running coupling from event shape distributions in electronpositron annihilation". United States. https://doi.org/10.1103/PhysRevD.100.094010.
@article{osti_1573861,
title = {Novel method for the precise determination of the QCD running coupling from event shape distributions in electronpositron annihilation},
author = {Wang, ShengQuan and Brodsky, Stanley J. and Wu, XingGang and Shen, JianMing and Di Giustino, Leonardo},
abstractNote = {We present a novel method for precisely determining the running QCD coupling constant αs(Q2) over a wide range of Q2 from event shapes for electronpositron annihilation measured at a single annihilation energy s. The renormalization scale Q2 of the running coupling depends dynamically on the virtuality of the underlying quark and gluon subprocess and thus the specific kinematics of each event. The determination of the renormalization scale for event shape distributions is obtained by using the principle of maximum conformality (PMC), a rigorous scalesetting method for gauge theories which satisfies all the requirements of renormalization group invariance, including renormalizationscheme independence and consistency with Abelian theory in the NC→0 limit. In this paper, we apply the PMC to two classic event shapes measured in e+e– annihilation: the thrust (T) and Cparameter (C). The PMC renormalization scale depends differentially on the values of T and C. The application of PMC scalesetting determines the running coupling αs(Q2) to high precision over a wide range of Q2 from 10 to 250 GeV2 from measurements of the event shape distributions at the Z0 peak. The extrapolation of the running coupling using pQCD evolution gives the value αs(MZ2)=0.1185±0.0012 from the thrust and αs(MZ2)=0.1193–0.0019+0.0021 from the Cparameter in the MS¯ scheme. These determinations of αs(MZ2) are consistent with the world average and are more precise than the values obtained from analyses of event shapes currently used in the world average. The highly consistent results for the T and C eventshape distributions provide an additional verification of the applicability of the PMC to pQCD.},
doi = {10.1103/PhysRevD.100.094010},
journal = {Physical Review D},
number = 9,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}
https://doi.org/10.1103/PhysRevD.100.094010
Web of Science
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