# 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 $c_{\rm V}$, $Z_{\rm V}$ and $Z_{\rm S}/Z_{\rm P}$ in $N_{\rm f}=3$ lattice QCD

## Speakers

• Dr. Jochen HEITGER

## Primary authors

• Dr. Jochen HEITGER (Westfaelische Wilhelms-Universitaet Muenster, Institut fuer Theoretische Physik)

## Content

We report on non-perturbative computations of the improvement coefficient $c_{\rm V}$ and the renormalization factor $Z_{\rm V}$ of the vector current in three-flavour O($a$) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge action. To reduce finite quark mass effects, our improvement and normalization conditions exploit massive chiral Ward identities formulated in the Schrödinger functional setup, which also allow deriving a new method to extract the ratio $Z_{\rm S}/Z_{\rm P}$ of scalar to pseudoscalar renormalization constants. We present preliminary results of an evaluation of these quantities along a line of constant physics with gauge couplings corresponding to lattice spacings of about 0.09 fm and below, relevant for phenomenological applications.

## Preferred track (if multiple tracks have been selected)

Standard Model Parameters and Renormalization