Renormalisation scale setting for D-mixing

Abstract

A naive application of the heavy quark expansion (HQE) yields theory estimates for the decay rate of neutral $D$ mesons that are four orders of magnitude below the experimental determination. It is well known that this huge suppression results from severe GIM cancellations. We find that this mismatch can be solved by individually choosing the renormalisation scale of the different internal quark contributions. For $b$ and $c$ hadron lifetimes, as well as for the decay rate difference of neutral $B$ mesons the effect of our scale setting procedure lies within the previously quoted theory uncertainties, while we get enlarged theory uncertainties for the semi-leptonic CP asymmetries in the $B$ system.

6 pages, 3 figures

References in corpus (14)

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• Lattice QCD matrix elements for the $B_s^0-{\bar{B}}_s^0$ width difference beyond leading order
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• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Long distance contributions to neutral $D$-meson mixing from lattice QCD
• Pursuit of new physics within the ${\Lambda }_c\to \Delta K$ decays
• Theory Motivation: What measurements are needed?
• Testing the Standard Model with CP-asymmetries in flavour-specific non-leptonic decays
• A Review of $CP$ Violation Measurements in Charm at LHCb