We employ the chirally rotated Schr"odinger functional (chiSF) 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 Nmf=3 massless flavors and Schr"odinger Functional (SF) boundary conditions.
Valence quarks are computed with chiSF boundary conditions. We show
preliminary results on the tuning of the chiSF Symanzik coefficient zf
and the scaling of the axial current normalization ZmA. Moreover we
carry out a detailed comparison with the expectations from one-loop
perturbation theory. Finally we outline how automatically
mathrmO(a)-improved BmK matrix elements, including BSM
contributions, can be computed in a chiSF renormalization scheme