PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
$\chi$SF near the electroweak scale
M. DallaBrida, I. Campos Plasencia, G. Divitiis, A. Lytle*, M. Papinutto and A. Vladikas
Full text: pdf
Pre-published on: December 05, 2019
Published on: August 27, 2020
We employ the chirally rotated Schr\"odinger functional ($\chi$SF) to study two-point fermion bilinear correlation functions used in the determination of $Z_{A,V,S,P,T}$ on a series of well-tuned ensembles. The gauge configurations, which span renormalisation scales from 4 to 70~GeV, are generated with $N_{\rm f}=3$ massless flavors and Schr\"odinger Functional (SF) boundary conditions. Valence quarks are computed with $\chi$SF boundary conditions. We show preliminary results on the tuning of the $\chi$SF Symanzik coefficient $z_f$ and the scaling of the axial current normalization $Z_{\rm A}$. Moreover we carry out a detailed comparison with the expectations from one-loop perturbation theory. Finally we outline how automatically $\mathrm{O}(a)$-improved $B_{\rm K}$ matrix elements, including BSM contributions, can be computed in a $\chi$SF renormalization scheme.
DOI: https://doi.org/10.22323/1.363.0202
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.