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Title: Precise determination of α s from the C -parameter distribution

Abstract

We present a global fit for α s (m Z), analyzing the available C -parameter data measured at center-of-mass energies between Q = 35 and 207 GeV. The experimental data is compared to a N 3 LL' + $$\mathscr{O}$$ (α$$3\atop{s}$$) + Ω 1 theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic parameter is its first moment Ω 1, which is defined in a scheme which eliminates the $$\mathscr{O}$$ (Λ QCD) renormalon ambiguity. The resummation region plays a dominant role in the C -parameter spectrum, and in this region a fit for α s (m Z) and Ω 1 is sufficient. We find α s (m Z) = 0.1123 ± 0.0015 and Ω 1 = 0.421 ± 0.063 GeV with χ 2/d . o . f . = 0.988 for 404 bins of data. These results agree with the prediction of universality for Ω 1 between thrust and C -parameter within 1- σ .

Authors:
 [1];  [2];  [3];  [2]
  1. Univ. of Vienna (Austria). Faculty of Physics, and Erwin Schrödinger International Inst. for Mathematical Physics
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  3. Univ. of Vienna (Austria). Faculty of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1505753
Alternate Identifier(s):
OSTI ID: 1179766
Grant/Contract Number:  
SC0011090
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 9; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. Precise determination of αs from the C -parameter distribution. United States: N. p., 2015. Web. doi:10.1103/physrevd.91.094018.
Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, & Stewart, Iain W. Precise determination of αs from the C -parameter distribution. United States. doi:10.1103/physrevd.91.094018.
Hoang, André H., Kolodrubetz, Daniel W., Mateu, Vicent, and Stewart, Iain W. Fri . "Precise determination of αs from the C -parameter distribution". United States. doi:10.1103/physrevd.91.094018. https://www.osti.gov/servlets/purl/1505753.
@article{osti_1505753,
title = {Precise determination of αs from the C -parameter distribution},
author = {Hoang, André H. and Kolodrubetz, Daniel W. and Mateu, Vicent and Stewart, Iain W.},
abstractNote = {We present a global fit for αs (mZ), analyzing the available C -parameter data measured at center-of-mass energies between Q = 35 and 207 GeV. The experimental data is compared to a N3 LL' + $\mathscr{O}$ (α$3\atop{s}$) + Ω1 theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic parameter is its first moment Ω1, which is defined in a scheme which eliminates the $\mathscr{O}$ (ΛQCD) renormalon ambiguity. The resummation region plays a dominant role in the C -parameter spectrum, and in this region a fit for αs (mZ) and Ω1 is sufficient. We find αs (mZ) = 0.1123 ± 0.0015 and Ω1 = 0.421 ± 0.063 GeV with χ2/d . o . f . = 0.988 for 404 bins of data. These results agree with the prediction of universality for Ω1 between thrust and C -parameter within 1- σ .},
doi = {10.1103/physrevd.91.094018},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 91,
place = {United States},
year = {2015},
month = {5}
}

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Cited by: 21 works
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