Determination of the QCD $\Lambda$-parameter and the accuracy of perturbation theory at high energies

Dalla Brida, Mattia; Fritzsch, Patrick; Korzec, Tomasz; Ramos, Alberto; Sint, Stefan; Sommer, Rainer

doi:10.1103/PhysRevLett.117.182001

Determination of the QCD $\Lambda$ -parameter and the accuracy of perturbation theory at high energies

ALPHA

Collaboration

•

Mattia Dalla Brida
(
- DESY, Zeuthen and
- NIC, Zeuthen
)

Apr 21, 2016

6 pages

Published in:

Phys.Rev.Lett. 117 (2016) 18, 182001

Published: 2016

e-Print:

1604.06193 [hep-ph]

DOI:

10.1103/PhysRevLett.117.182001

Report number:

DESY-16-053,
IFT-UAM-CSIC-16-029,
CERN-TH-2016-060,
TCDMATH-16-04,
WUB-16-00,
TCD-MATH-16-04

Experiments:

LATTICE-ALPHA

View in:

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Abstract: (APS)

We discuss the determination of the strong coupling αMS¯(mZ) or, equivalently, the QCD Λ parameter. Its determination requires the use of perturbation theory in αs(μ) in some scheme s and at some energy scale μ. The higher the scale μ, the more accurate perturbation theory becomes, owing to asymptotic freedom. As one step in our computation of the Λ parameter in three-flavor QCD, we perform lattice computations in a scheme that allows us to nonperturbatively reach very high energies, corresponding to αs=0.1 and below. We find that (continuum) perturbation theory is very accurate there, yielding a 3% error in the Λ parameter, while data around αs≈0.2 are clearly insufficient to quote such a precision. It is important to realize that these findings are expected to be generic, as our scheme has advantageous properties regarding the applicability of perturbation theory.

Note:

6.5 pages including figures and references; version accepted for publication in PRL

quantum chromodynamics: perturbation theory
quantum chromodynamics: asymptotic behavior
quantum chromodynamics: lattice
asymptotic freedom
strong interaction: coupling constant
coupling constant: space dependence
coupling constant: energy dependence

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Determination of the QCD Λ\LambdaΛ-parameter and the accuracy of perturbation theory at high energies

Citations per year

Determination of the QCD $\Lambda$ -parameter and the accuracy of perturbation theory at high energies