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- W4313503811 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 $Gamma (B^+) = (0.58^{+0.11}_{-0.07}) , mbox{ps}^{-1}$, $Gamma (B_d) = (0.63^{+0.11}_{-0.07}) , mbox{ps}^{-1}$, $Gamma (B_s) = (0.63^{+0.11}_{-0.07}) , mbox{ps}^{-1}$, and for the lifetime ratios $tau (B^+) / tau (B_d) = 1.086 pm 0.022$, $tau (B_s) / tau (B_d) = 1.003 pm 0.006 , (1.028 pm 0.011)$. The two values for the last observable arise from using two different sets of input for the non-perturbative parameters $mu_pi^2(B_d)$, $mu_G^2(B_d)$, and $rho_D^3(B_d)$ 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 $tau (B_s)/tau (B_d)$ when considering the second set of input parameters. Specifically, this observable is extremely sensitive to the size of the parameter $rho_D^3 (B_d)$ 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 $mu_pi^2 (B_s), mu_G^2 (B_s), rho_D^3 (B_s)$ from future experimental data on inclusive semileptonic $B_s$-meson decays or from direct non-perturbative calculations, as well as more insights about the value of $rho_D^3 (B)$ extracted from fit, would be very helpful in reducing the corresponding theory uncertainties." @default.
- W4313503811 created "2023-01-06" @default.
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- W4313503811 date "2023-01-03" @default.
- W4313503811 modified "2023-10-01" @default.
- W4313503811 title "Disintegration of beauty: a precision study" @default.
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- W4313503811 doi "https://doi.org/10.1007/jhep01(2023)004" @default.
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