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Dimension-six matrix elements for meson mixing and lifetimes from sum rules

Kirk, M.; Lenz, A.; Rauh, T.

Dimension-six matrix elements for meson mixing and lifetimes from sum rules Thumbnail


Authors

M. Kirk

A. Lenz

T. Rauh



Abstract

The hadronic matrix elements of dimension-six ∆F = 0, 2 operators are crucial inputs for the theory predictions of mixing observables and lifetime ratios in the B and D system. We determine them using HQET sum rules for three-point correlators. The results of the required three-loop computation of the correlators and the one-loop computation of the QCD-HQET matching are given in analytic form. For mixing matrix elements we find very good agreement with recent lattice results and comparable theoretical uncertainties. For lifetime matrix elements we present the first ever determination in the D meson sector and the first determination of ∆B = 0 matrix elements with uncertainties under control — superseeding preliminary lattice studies stemming from 2001 and earlier. With our state-of-the-art determination of the bag parameters we predict: τ(B +)/τ(B d 0 ) = 1.082 − 0.026 + 0.022 , τ(B s 0 )/τ(B d 0 ) = 0.9994 ± 0.0025, τ(D +)/τ(D 0) = 2. 7 − 0.8 + 0.7 and the mixing-observables in the B s and B d system, in good agreement with the most recent experimental averages.

Citation

Kirk, M., Lenz, A., & Rauh, T. (2017). Dimension-six matrix elements for meson mixing and lifetimes from sum rules. Journal of High Energy Physics, 2017(12), Article 68. https://doi.org/10.1007/jhep12%282017%29068

Journal Article Type Article
Acceptance Date Dec 5, 2017
Online Publication Date Dec 13, 2017
Publication Date Dec 13, 2017
Deposit Date Jan 11, 2018
Publicly Available Date Jan 11, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 12
Article Number 68
DOI https://doi.org/10.1007/jhep12%282017%29068

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Copyright Statement
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.





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