A perturbative study of the chirally rotated Schr\"{o}dinger Functional in QCD

Understand

The chirally rotated Schr\"odinger functional ($\chi$SF) renders the mechanism of automatic $O(a)$ improvement compatible with the Schr\"odinger functional (SF) formulation.

• Here we report on the determination to 1-loop order in perturbation theory of the renormalization coefficients necessary to achieve automatic $O(a)$ improvement and the boundary improvement coefficients needed to eliminate the extra boundary $O(a)$ effects present in any SF formulation.
• After this is done, we perform a set of tests of automatic $O(a)$ improvement and of the universality between standard and chirally rotated SF formulations.