Non-perturbative determination of $c_V, Z_V$ and $Z_S/Z_P$ in $N_f=3$ lattice QCD

We report on non-perturbative computations of the improvement coefficient cV and the renormalization factor ZV 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 ZS/ZP of scalar to pseudoscalar renormalization constants. We present preliminary results of a numerical evaluation of ZV and cV along a line of constant physics with gauge couplings corresponding to lattice spacings of about 0:09 fm and below, relevant for phenomenological applications.* Talk at the 35th International Symposium on Lattice Field Theory (LATTICE 2017), 18-24 June 2017, Granada, Spain* Talk at the 35th International Symposium on Lattice Field Theory (LATTICE 2017), 18-24 June 2017, Granada, Spain

Note:

8 pages including figures and tables, latex2e; Proceedings of the 35th International Symposium on Lattice Field Theory (Lattice 2017), 18-24 June 2017, Granada, Spain; typo in parametrization of c_V corrected, overall results unchanged

Ward identity: chiral
current: vector
coupling: gauge
numerical calculations
quark: Wilson
fermion: clover
quark: flavor: 3
mass: effect
quark: mass dependence
lattice field theory

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Figures(1)

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Non-perturbative determination of cV,ZVc_V, Z_VcV​,ZV​ and ZS/ZPZ_S/Z_PZS​/ZP​ in Nf=3N_f=3Nf​=3 lattice QCD

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Non-perturbative determination of $c_V, Z_V$ and $Z_S/Z_P$ in $N_f=3$ lattice QCD