Abstract
We update the Standard Model (SM) predictions for B-meson lifetimes within the heavy quark expansion (HQE). Including for the first time the contribution of the Darwin operator, SU(3)F breaking corrections to the matrix element of dimension-six four-quark operators and the so-called eye-contractions, we obtain for the total widths \( \Gamma \left({B}^{+}\right)=\left({0.58}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_d\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1},\Gamma \left({B}_s\right)=\left({0.63}_{-0.07}^{+0.11}\right){\textrm{ps}}^{-1} \), and for the lifetime ratios τ(B+)/τ(Bd) = 1.086 ± 0.022, τ(Bs)/τ(Bd) = 1.003 ± 0.006 (1.028 ± 0.011). The two values for the last observable arise from using two different sets of input for the non-perturbative parameters \( {\mu}_{\pi}^2\left({B}_d\right),{\mu}_G^2\left({B}_d\right) \), and \( {\rho}_D^3\left({B}_d\right) \) as well as from different estimates of the SU(3)F breaking in these parameters. Our results are overall in very good agreement with the corresponding experimental data, however, there seems to emerge a tension in τ(Bs)/τ(Bd) when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter \( {\rho}_D^3\left({B}_d\right) \) and of the SU(3)F breaking effects in \( {\mu}_{\pi}^2,{\mu}_G^2 \) and \( {\rho}_D^3 \); hence, it is of utmost importance to be able to better constrain all these parameters. In this respect, an extraction of \( {\mu}_{\pi}^2\left({B}_s\right),{\mu}_G^2\left({B}_s\right),{\rho}_D^3\left({B}_s\right) \) from future experimental data on inclusive semileptonic Bs-meson decays or from direct non-perturbative calculations, as well as more insights about the value of \( {\rho}_D^3(B) \) extracted from fits to inclusive semileptonic B-decays, would be very helpful in reducing the corresponding theory uncertainties.
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Lenz, A., Piscopo, M.L. & Rusov, A.V. Disintegration of beauty: a precision study. J. High Energ. Phys. 2023, 4 (2023). https://doi.org/10.1007/JHEP01(2023)004
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DOI: https://doi.org/10.1007/JHEP01(2023)004