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$B^0-\bar{B}^0$ Mixing at Next-to-Leading Order

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arxiv 1606.06054 v2 pith:KR4MG7EP submitted 2016-06-20 hep-ph

Andrey G. Grozin , Rebecca Klein , Thomas Mannel , Alexei A. Pivovarov This is my paper
classification hep-ph
keywords correctionsordernext-to-leadingparameteralphaanalyticallyappearavailable
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the perturbative corrections to the HQET sum rules for the matrix element of the \Delta B=2 operator that determines the mass shift of $B^0$, $\bar{B}^0$ states. Technically, we obtain analytically the non-factorizable contributions at order $\alpha_s$ to the bag parameter that first appear at the three-loop level. Together with the known non-perturbative corrections due to vacuum condensates and $1/m_b$ corrections, the full next-to-leading order result is now available. We present a numerical value for the renormalization group invariant bag parameter that is phenomenologically relevant and discuss comparison with recent lattice determinations.

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  1. Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023

    hep-ex 2024-11 accept novelty 2.0 of 10

    The Heavy Flavour Averaging Group reports updated world averages for b-hadron, c-hadron, and tau-lepton properties including branching fractions, lifetimes, mixing, CP violation, and CKM elements.

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