Non-perturbative renormalization by decoupling

Abstract

We propose a new strategy for the determination of the QCD coupling. It relies on a coupling computed in QCD with $N_{\mathrm{f}}\ge 3$ degenerate heavy quarks at a low energy scale ${\mu }_{\mathrm{dec}}$, together with a non-perturbative determination of the ratio $\Lambda /{\mu }_{\mathrm{dec}}$ in the pure gauge theory. We explore this idea using a finite volume renormalization scheme for the case of $N_{\mathrm{f}}=3$ QCD, demonstrating that a precise value of the strong coupling ${\alpha }_s$ can be obtained. The idea is quite general and can be applied to solve other renormalization problems, using finite or infinite volume intermediate renormalization schemes.

arXiv commentLaTeX, 6 pages, 2 figures

References in corpus (34)

• The four-loop beta-function in Quantum Chromodynamics
• Properties and uses of the Wilson flow in lattice QCD
• Chiral symmetry and O(a) improvement in lattice QCD
• Five-Loop Running of the QCD coupling constant
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• The five-loop beta function of Yang-Mills theory with fermions
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• QCD Decoupling at Four Loops
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• On the Schroedinger functional in QCD
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Setting the scale for the CLS $2+1$ flavor ensembles
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Computation of the strong coupling in QCD with two dynamical flavours
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• The running coupling from the QCD Schrödinger functional -- a one-loop analysis
• Determination of alpha_s from the QCD static energy: an update
• Towards the five-loop Beta function for a general gauge group
• Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
• The Realistic Lattice Determination of alpha_s(M_Z) Revisited
• Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\mathrm{f}}=3$ QCD
• Determination of the QCD $\Lambda$-parameter and the accuracy of perturbation theory at high energies
• The running coupling of QCD with four flavors
• Simultaneous decoupling of bottom and charm quarks
• Wilson coefficients for Higgs boson production and decoupling relations to $\mathcal{O}\left({\alpha }_s^4\right)$
• Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD
• On the effects of heavy sea quarks at low energies
• The gradient flow running coupling with twisted boundary conditions
• A non-perturbative exploration of the high energy regime in $N_{\text{f}}=3$ QCD
• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• How perturbative are heavy sea quarks?

Cited by in corpus (13)

• FLAG Review 2021
• 50 Years of Quantum Chromodynamics
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• FLAG Review 2024
• Lattice determinations of the strong coupling
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• The asymptotic approach to the continuum of lattice QCD spectral observables
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Perturbative determination of $\mathcal{O}(am)$ improvement on the QCD running coupling
• Memory efficient finite volume schemes with twisted boundary conditions