QCD Coupling from a Nonperturbative Determination of the Three-Flavor 
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 Parameter

Bruno, Mattia; Brida, Mattia Dalla; Fritzsch, Patrick; Korzec, Tomasz; Ramos, Alberto; Schaefer, Stefan; Simma, Hubert; Sint, Stefan; Sommer, Rainer

doi:10.1103/physrevlett.119.102001

Cited by 112 publications

(161 citation statements)

References 58 publications

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“…The work presented in this paper constitutes a major step in the α s -determination by the ALPHA-collaboration [12]. Despite considerable improvements in the precision, this step currently still contributes the largest single error in this project.…”

Section: Discussionmentioning

confidence: 99%

“…In physical units the scale L 0 has been determined to be around 1/(4 GeV) [12]. We note that σ (2.012) defines the couplinḡ g 2 (2L 0 ), so that the lowest energy scale reached with the SF coupling is around 2 GeV.…”

Section: The Sf Coupling Formentioning

confidence: 96%

“…As part of the project to determine α s (m Z ) from low energy hadronic input in 3-flavour QCD [1,12,13], our collaboration has applied these techniques to a 1-parameter family of finite volume couplings in Schrödinger functional (SF) schemes, for which the 3-loop β-function is known [14][15][16][17]. We have measured these couplings in numerical simulations and for a range of lattice sizes with unprecedented precision.…”

Section: Introductionmentioning

confidence: 99%

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A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD

et al. 2018

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Using continuum extrapolated lattice data we trace a family of running couplings in three-flavour QCD over a large range of scales from about 4 to 128 GeV. The scale is set by the finite space time volume so that recursive finite size techniques can be applied, and Schrödinger functional (SF) boundary conditions enable direct simulations in the chiral limit. Compared to earlier studies we have improved on both statistical and systematic errors. Using the SF coupling to implicitly define a reference scale 1 MS , a reliable estimate of the truncation error requires non-perturbative data for a sufficiently large range of values of α s =ḡ 2 /(4π). In the present work we reach this precision by studying scales that vary by a factor 2 5 = 32, reaching down to α s ≈ 0.1. We here provide the details of our analysis and an extended discussion. a

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Section: Discussionmentioning

confidence: 99%

Section: The Sf Coupling Formentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD

et al. 2018

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“…We have also provided values of renormalization constants at the lowest energy scales reached by the non-perturbative running, which allows to match bare matrix elements computed with non-perturbatively O(a) improved Wilson fermions and the Wilson plaquette gauge action. As part of the ALPHA programme, we are currently completing a similar study in N f = 3 QCD [39], that builds upon a high-precision determination of the strong coupling [36][37][38] and mass anomalous dimension [9,10,24]. Preliminary results indicate that a precision ∼ 1% for the running to low-energy scales is possible even for values of the hadronic matching scale well below the one reached for N f = 2.…”

Section: Discussionmentioning

confidence: 99%

“…1 We will then apply our formalism to the fully non-perturbative renormalization of non-singlet tensor currents in N f = 0 and N f = 2 QCD. Our results for N f = 3 QCD, that build on the non-perturbative determination of the running coupling [36][37][38] and the renormalization of quark masses [9,10,24], will be provided in a separate publication [39].…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_

Peña

Preti

2018

Eur. Phys. J. C

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Tensor currents are the only quark bilinear operators lacking a non-perturbative determination of their renormalisation group (RG) running between hadronic and electroweak scales. We develop the setup to carry out the computation in lattice QCD via standard recursive finite-size scaling techniques, and provide results for the RG running of tensor currents in N f = 0 and N f = 2 QCD in the continuum for various Schrödinger Functional schemes. The matching factors between bare and renormalisation group invariant currents are also determined for a range of values of the lattice spacing relevant for large-volume simulations, thus enabling a fully non-perturbative renormalization of physical amplitudes mediated by tensor currents.

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QCD on the Lattice

Wittig¹

2020

Particle Physics Reference Library

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Since Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

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QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter

Cited by 112 publications

References 58 publications

A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD

A non-perturbative exploration of the high energy regime in $$N_{\mathrm{f}}=3$$ N f = 3 QCD

Non-perturbative renormalization of tensor currents: strategy and results for $$N_f=0$$ N f = 0 and $$N_

QCD on the Lattice

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