The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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Contribution Parallel

Seminarios 1+2
Standard Model Parameters and Renormalization

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

Speakers

• Dr. Giulia Maria DE DIVITIIS

Content

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 ${Z_P/}{(Z_S Z_A)}$) 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 $N_f=2$ case, 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 $\approx 0.09 \,$fm and below.