2018/03/27 by Mattia Dalla Brida, Patrick Fritzsch, Tomasz Korzec +3 · 25 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Lambda #Lattice (music) #Lattice QCD #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #hep-lat #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-018-5838-5
published in The European Physical Journal C 78(5) (Springer Science+Business Media) · 40 pages, 11 figures
arxiv created 2018/03/27 · openalex created_date 2018/04/06 · openalex publication_date 2018/05/01 · arxiv updated 2018/06/13 · openalex updated_date 2026/08/05
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/L0≈ 4 GeV through g2(L0) =2.012 , we quote L0 Λ Nf=3_MS =0.0791(21) . This error is dominated by statistics; in particular, the remnant perturbative uncertainty is negligible and very well controlled, by connecting to infinite renormalization scale from different scales 2n/L0 for n=0,1,… ,5 . An intermediate step in this connection may involve any member of a one-parameter family of SF couplings. This provides an excellent opportunity for tests of perturbation theory some of which have been published in a letter (ALPHA collaboration, M. Dalla Brida et al. in Phys Rev Lett 117(18):182001, 2016). The results indicate that for our target precision of 3 per cent in L0 Λ Nf=3_MS , a reliable estimate of the truncation error requires non-perturbative data for a sufficiently large range of values of α s=g2/(4π ) . In the present work we reach this precision by studying scales that vary by a factor 25= 32 , reaching down to α s≈ 0.1 . We here provide the details of our analysis and an extended discussion.