English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Motivated by a recent paper by the RBC-UKQCD Collaboration, which observeslarge violations of the na\"ive factorization hypothesis in $K \to \pi \pi$decays, we study in this paper the accuracy of the Vacuum InsertionApproximation (VIA) for the matrix elements of the complete basis of fourfermion $\Delta F=2$ operators. We perform a comparison between the matrixelements in QCD, evaluated on the lattice, and the VIA predictions. We alsoinvestigate the dependence on the external meson masses by computing matrixelements for $K$, $D_s$, $B_s$ and static mesons. In commonly usedrenormalization schemes, we find large violations of the VIA in particular forone of the two relevant Wick contractions in the kaon sector. These deviations,however, decrease significantly as the meson mass increases and the VIApredictions turn out to be rather well verified for B-meson matrix elementsand, even better, in the infinite mass limit.

physics letters b

Vacuum Insertion Approximation and the $\Delta I=1/2$ rule:a lattice QCD  test of the na\"ive factorization hypothesis for $K$, $D$, $B$ and static  mesons