https://doi.org/10.1140/epjc/s10052-018-6514-5
Regular Article - Theoretical Physics
High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
1
Dipartimento di Fisica, Università di Milano-Bicocca, and INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, 20126, Milan, Italy
2
Department of Physics, Bergische Universität Wuppertal, Gaußstr. 20, 42119, Wuppertal, Germany
3
School of Mathematics, Trinity College Dublin, Dublin 2, Ireland
4
Dipartimento di Fisica, Università La Sapienza di Roma, and INFN, Sezione di Roma, Piazzale A. Moro 2, 00185, Rome, Italy
* e-mail: mattia.dalla.brida@desy.de
Received:
29
September
2018
Accepted:
12
December
2018
Published online:
14
January
2019
We determine the non-perturbatively renormalized axial current for 
improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger 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 by up to one order of magnitude. Our results have already enabled the setting of the scale for the 
CLS ensembles (Bruno et al. in Phys Rev D 95(7):074504. arXiv:1608.08900, 2017) and are thus an essential ingredient for the recent 
determination by the ALPHA collaboration (Phys Rev Lett 119(10):102001. arXiv:1706.03821, 2017). In this paper we shortly review the strategy and present our results for both 
and 
lattice QCD, where we match the 
-values of the CLS gauge configurations. In addition to the axial current renormalization, we also present precise results for the renormalized local vector current.
© The Author(s), 2019
