Non-perturbative determination of improvement coefficients using coordinate space correlators in $N_f=2+1$ lattice QCD

Abstract

We determine quark mass dependent order $a$ improvement terms of the form $b_{J}am$ for non-singlet scalar, pseudoscalar, vector and axialvector currents, using correlators in coordinate space. We use a set of CLS ensembles comprising non-perturbatively improved Wilson Fermions and the tree-level Luescher-Weisz gauge action at $\beta =3.4,3.46,3.55$ and $\beta =3.7$, corresponding to lattice spacings $a$ ranging from $0.05$ fm to $0.09$ fm. We report the values of the $b_J$ improvement coefficients which are proportional to non-singlet quark mass combinations and also discuss the possibility of determining the ${\bar{b}}_J$ coefficients which are proportional to the trace of the quark mass matrix.

arXiv comment7 pages, 6 figures, Proceedings from the 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK

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