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

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

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

High Energy Physics - Lattice 2017-10-20 v1

Authors: Giulia Maria de Divitiis , Maurizio Firrotta , Jochen Heitger , Carl Christian Köster , Anastassios Vladikas

Abstract

We present our preliminary results of the non-perturbative determination of the valence mass dependent coefficients $b_\mathrm{A}-b_\mathrm{P}$ and $b_\mathrm{m}$ as well as the ratio $Z_\mathrm{P} Z_\mathrm{m}/ Z_\mathrm{A}$ 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 Schr\"odinger 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.

Keywords

lattice QCD non-perturbative improvement b-coefficients PCAC relation Wilson fermions Schrödinger functional

Cite

@article{arxiv.1710.07020,
  title  = {Non-perturbative determination of improvement $b$-coefficients in $N_f=3$},
  author = {Giulia Maria de Divitiis and Maurizio Firrotta and Jochen Heitger and Carl Christian Köster and Anastassios Vladikas},
  journal= {arXiv preprint arXiv:1710.07020},
  year   = {2017}
}

Comments

8 pages, 6 figures. Talk given at Lattice2017, the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

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

Abstract

Keywords

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