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Perturbative renormalization of $\Delta F = 2$ four-fermion operators with the chirally rotated Schr\"odinger functional by Brida, Mattia Dalla; Papinutto, Mauro; Vilaseca, Pol is a scholarly article available to read on EtoBox.

What is Perturbative renormalization of $\Delta F = 2$ four-fermion operators with the chirally rotated Schr\"odinger functional about?

The chirally rotated Schr\"odinger functional ($\chi$SF) renders the mechanism of automatic $O(a)$ improvement compatible with Schr\"odinger functional (SF) renormalization schemes. Here we define a family of renormalization schemes based on the $\chi$SF for a complete basis of $\Delta F = 2$ parity-odd four-fermion operators. We compute the corresponding scale-dependent renormalization constants to one-loop order in perturbation theory and obtain their NLO anomalous dimensions by matching to the $\overline{\textrm{MS}}$ scheme. Due to automatic $O(a)$ improvement, once the $\chi$SF is renormalized and improved at the boundaries, the step scaling functions (SSF) of these operators approach their continuum limit with $O(a^{2})$ corrections without the need of operator improvement.

Author

Brida, Mattia Dalla; Papinutto, Mauro; Vilaseca, Pol

Published

2016

Language

EN