Precise determination of αs from the C -parameter distribution

Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent; Stewart, Iain W.

doi:10.1103/physrevd.91.094018

Title: Precise determination of $α_{s}$ from the $C$ -parameter distribution

Journal Article · Fri May 15 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/physrevd.91.094018· OSTI ID:1505753

Hoang, André H. ^[1]; Kolodrubetz, Daniel W. ^[2]; Mateu, Vicent ^[3]; Stewart, Iain W. ^[2]

Univ. of Vienna (Austria). Faculty of Physics, and Erwin Schrödinger International Inst. for Mathematical Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. of Vienna (Austria). Faculty of Physics

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 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 $$\mathscr{O}$$ (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 Ω₁ is sufficient. We find α_s (m_Z) = 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 .

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011090

OSTI ID:: 1505753

Alternate ID(s):: OSTI ID: 1179766

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 9; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 70 works

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Determination of the strong coupling constant $$\alpha _s \left( m_Z \right) $$ α s m Z from measurements of the total cross section for top–antitop-quark production Klijnsma, Thomas; Bethke, Siegfried; Dissertori, Günther The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5340-5	journal	November 2017
Matter Dependence of the Four-Loop Cusp Anomalous Dimension Henn, J. M.; Peraro, T.; Stahlhofen, M. American Physical Society https://doi.org/10.5167/uzh-175226	text	January 2019
Towards parton distribution functions with small-$x$ resummation: HELL 2.0 Bonvini, Marco; Marzani, Simone; Muselli, Claudio arXiv https://doi.org/10.48550/arxiv.1708.07510	text	January 2017

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