χSF near the electroweak scale

We employ the chirally rotated Schrödinger functional (χSF) to study two-point fermion bilinear correlation functions used in the determination of ZA,V,S,P,T on a series of well-tuned ensembles. The gauge configurations, which span renormalisation scales from 4 to 70 GeV, are generated with Nf = 3 massless flavors and Schrödinger Functional (SF) boundary conditions. Valence quarks are computed with χSF boundary conditions. We show preliminary results on the tuning of the χSF Symanzik coefficient zf and the scaling of the axial current normalization ZA. Moreover we carry out a detailed comparison with the expectations from one-loop perturbation theory. Finally we outline how automatically O(a)-improved BK matrix elements, including BSM contributions, can be computed in a χSF renormalization scheme.