B0-B0bar mixing in the static approximation from the Schroedinger Functional and twisted mass QCD

TL;DR

This paper investigates the renormalisation of parity-odd Delta B=2 operators in B0-B0bar mixing using static approximation, Schroedinger Functional, and twisted mass QCD, providing non-perturbative and perturbative insights.

Contribution

It presents a non-perturbative renormalisation framework for B0-B0bar mixing operators using Schroedinger Functional techniques with twisted mass QCD.

Findings

Developed a non-perturbative renormalisation programme for relevant operators.

Performed a one-loop perturbative study of renormalisation schemes.

Computed NLO anomalous dimensions in SF schemes.

Abstract

We discuss the renormalisation properties of parity-odd Delta B=2 operators with the heavy quark treated in the static approximation. Via twisted mass QCD (tmQCD), these operators provide the matrix elements relevant for the B0-B0bar mixing amplitude. The layout of a non-perturbative renormalisation programme for the operator basis, using Schroedinger Functional techniques, is described. Finally, we report our results for a one-loop perturbative study of various renormalisation schemes with Wilson-type lattice regularisations, which allows, in particular, to compute the NLO anomalous dimensions of the operators in the SF schemes of interest.