Non-perturbative determination of improvement b-coefficients in Nf = 3

Giulia Maria de Divitiis; Maurizio Firrotta; Jochen Heitger; Carl Christian Köster; Anastassios Vladikas

doi:10.1051/epjconf/201817510008

Proceedings

Open Access

EPJ Web of Conferences 175, 10008 (2018)
https://doi.org/10.1051/epjconf/201817510008

Non-perturbative determination of improvement b-coefficients in N_f = 3^*

Giulia Maria de Divitiis¹^,2^**, Maurizio Firrotta¹^,2, Jochen Heitger³, Carl Christian Köster³ and Anastassios Vladikas²

¹ Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
² INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
³ Institut für Theoretische Physik, Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany

^** Speaker, e-mail: giulia.dedivitiis@roma2.infn.it

Published online: 26 March 2018

Abstract

We present our preliminary results of the non-perturbative determination of the valence mass dependent coefficients b_A - b_P and b_m as well as the ratio Z_PZ_m=Z_A entering the flavour non-singlet PCAC relation in lattice QCD with N_f = 3 dynamical flavours. We apply the method proposed in the past for quenched approximation and N_f = 2 cases, employing a set of finite-volume ALPHA configurations with Schrödinger functional boundary conditions, generated with O(a) improved Wilson fermions and the tree-level Symanzik-improved gauge action for a range of couplings relevant for simulations at lattice spacings of about 0.09 fm and below.

Talk given at the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain.

© The Authors, published by EDP Sciences, 2018

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).