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

Kirk, M. and Lenz, A. and Rauh, T. (2017) 'Dimension-six matrix elements for meson mixing and lifetimes from sum rules.', Journal of high energy physics., 2017 (12). 068.


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.

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Publisher 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.
Date accepted:05 December 2017
Date deposited:11 January 2018
Date of first online publication:13 December 2017
Date first made open access:11 January 2018

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