Precise determination of αs from the C-parameter distribution

Andre H. Hoang; Daniel W. Kolodrubetz; Vicent Mateu; Iain W. Stewart

doi:10.1103/PhysRevD.91.094018

Precise determination of αs from the C-parameter distribution

Andre H. Hoang
, Daniel W. Kolodrubetz
, Vicent Mateu
, Iain W. Stewart

Particle Physics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

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 N3LL'+O(αs3)+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 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.

Original language	English
Article number	094018
Number of pages	24
Journal	Physical Review D
Volume	91
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevD.91.094018
Publication status	Published - 15 May 2015

Funding

We thank the Erwin-Schrodinger Institute (ESI) for partial support in the framework of the ESI program "Jets and Quantum Fields for LHC and Future Colliders." This work was supported by the offices of Nuclear and Particle Physics of the U.S. Department of Energy (DOE) under Contract DE-SC0011090, and the European Community's Marie-Curie Research Networks under contract PITN-GA-2010-264564 (LHCphenOnet). I. S. was also supported in part by the Simons Foundation Investigator Grant No 327942. V.M. was supported by a Marie Curie Fellowship under contract PIOF-GA-2009-251174 while part of this work was completed. A. H., V. M., and I. S. are also supported in part by MISTI global seed funds. V. M. thanks H. Stenzel for explaining how to interpret the systematic uncertainties in the ALEPH data set and Thomas Hahn for computer support.

Austrian Fields of Science 2012

103034 Particle physics

Keywords

HADRONIC EVENT STRUCTURE
JET CROSS-SECTIONS
E(+)E(-) ANNIHILATION
DIMENSIONAL REGULARIZATION
QUANTUM CHROMODYNAMICS
THRUST DISTRIBUTION
POWER CORRECTIONS
E&E-ANNIHILATION
Z(0) RESONANCE
QCD

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10.1103/PhysRevD.91.094018

http://arxiv.org/abs/1501.04111

Cite this

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title = "Precise determination of αs from the C-parameter distribution",

abstract = "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 N3LL'+O(αs3)+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 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.",

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doi = "10.1103/PhysRevD.91.094018",

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AU - Hoang, Andre H.

AU - Kolodrubetz, Daniel W.

AU - Mateu, Vicent

AU - Stewart, Iain W.

PY - 2015/5/15

Y1 - 2015/5/15

N2 - 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 N3LL'+O(αs3)+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 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.

AB - 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 N3LL'+O(αs3)+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 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.

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KW - JET CROSS-SECTIONS

KW - E(+)E(-) ANNIHILATION

KW - DIMENSIONAL REGULARIZATION

KW - QUANTUM CHROMODYNAMICS

KW - THRUST DISTRIBUTION

KW - POWER CORRECTIONS

KW - E&E-ANNIHILATION

KW - Z(0) RESONANCE

KW - QCD

UR - http://arxiv.org/abs/1501.04111

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U2 - 10.1103/PhysRevD.91.094018

DO - 10.1103/PhysRevD.91.094018

M3 - Article

SN - 1550-7998

VL - 91

JO - Physical Review D

JF - Physical Review D

IS - 9

M1 - 094018

ER -

Precise determination of αs from the C-parameter distribution

Abstract

Funding

Austrian Fields of Science 2012

Keywords

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