High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
| Autor: | Stefan Sint, Tomasz Korzec, Pol Vilaseca, Mattia Dalla Brida |
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| Přispěvatelé: | Dalla Brida, M, Korzec, T, Sint, S, Vilaseca, P |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Quark
Physics and Astronomy (miscellaneous) High Energy Physics::Lattice Lattice field theory FOS: Physical sciences lcsh:Astrophysics 01 natural sciences Computer Science::Digital Libraries Renormalization symbols.namesake lattice QCD High Energy Physics - Lattice lcsh:QB460-466 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Continuum (set theory) 010306 general physics Engineering (miscellaneous) Mathematical physics Quantum chromodynamics Physics 010308 nuclear & particles physics Wilson quark High Energy Physics - Lattice (hep-lat) High Energy Physics::Phenomenology Lattice QCD Gauge (firearms) FIS/02 - FISICA TEORICA MODELLI E METODI MATEMATICI symbols lcsh:QC770-798 Noether's theorem |
| Zdroj: | European Physical Journal European Physical Journal C: Particles and Fields, Vol 79, Iss 1, Pp 1-27 (2019) |
| Popis: | We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schr\"odinger functional and can be generalized to other finite (ratios of) renormalization constants which are traditionally obtained by imposing continuum chiral Ward identities as normalization conditions. Compared to the latter we achieve an error reduction up to one order of magnitude. Our results have already enabled the setting of the scale for the $N_{\rm f}=2+1$ CLS ensembles [1] and are thus an essential ingredient for the recent $\alpha_s$ determination by the ALPHA collaboration [2]. In this paper we shortly review the strategy and present our results for both $N_{\rm f}=2$ and $N_{\rm f}=3$ lattice QCD, where we match the $\beta$-values of the CLS gauge configurations. In addition to the axial current renormalization, we also present precise results for the renormalized local vector current. Comment: 43 pages, 11 figures. Added Appendix C containing fits to the final results for Z_{A,V}. Matches published version |
| Databáze: | OpenAIRE |
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