O(a) improvement of the HYP static axial and vector currents at one-loop order of perturbation theory

Understand

We calculate analytically the improvement coefficients of the static axial and vector currents in O(a) improved lattice QCD at one-loop order of perturbation theory.

• The static quark is described by the hypercubic action, previously introduced in the literature in order to improve the signal-to-noise ratio of static observables.
• Within a Schroedinger Functional setup, we derive the Feynman rules of the hypercubic link in time-momentum representation.
• The improvement coefficients are obtained from on-shell correlators of the static axial and vector currents.