Disintegration of beauty: a precision study

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 $Γ(B^+) = (0.58^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, $Γ(B_d) = (0.63^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, $Γ(B_s) = (0.63^{+0.11}_{-0.07}) \, \mbox{ps}^{-1}$, 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.

arXiv comment35 pages, 5 figures, 7 tables

References in corpus (62)

• Weak Decays Beyond Leading Logarithms
• Heavy Quark Symmetry
• FLAG Review 2019
• B_{s,d} -> l+ l- in the Standard Model with Reduced Theoretical Uncertainty
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Sum Rules for Heavy Flavor Transitions in the SV Limit
• Spectator Effects in Inclusive Decays of Beauty Hadrons
• Precision determination of the CKM element Vcb
• Heavy Quark Expansion for the Inclusive Decay $\bar{B}\to \tau \bar{\nu }X$
• Taming the higher power corrections in semileptonic B decays
• The Rule of Discarding $1/N_c$ in Inclusive Weak Decays
• Searching for New Physics with $b\to s{\tau }^{+}{\tau }^{-}$ processes
• The $B_c$ Meson Lifetime
• Three loop calculations and inclusive $V_{cb}$
• Baryogenesis and Dark Matter from $B$ Mesons
• The B^+ B_d^0 Lifetime Difference Beyond Leading Logarithms
• On the ultimate precision of meson mixing observables
• The Rule of Discarding $1/N_c$ in Inclusive Weak Decays. II
• Spectator effects and lifetimes of heavy hadrons
• Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays
• Dimension-six matrix elements for meson mixing and lifetimes from sum rules
• Lifetime Ratios of Beauty Hadrons at the Next-to-Leading Order in QCD
• Bayesian fit analysis to full distribution data of $\bar{B}\to D^{(\ast )}\ell \bar{\nu }$: $|V_{cb}|$ determination and New Physics constraints
• Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
• D-meson lifetimes within the heavy quark expansion
• New physics effects in tree-level decays
• Inclusive Semi-leptonic B Decays to order 1/m_b^4
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• On the Problem of Boosting Nonleptonic b Baryon Decays
• On new physics in $\Delta {\Gamma }_d$
• Penguin Diagrams, Charmless B-Decays and the ``Missing Charm Puzzle''
• Charming new physics in rare B-decays and mixing?
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• The inclusive decay b to ccs revisited
• Lambda_b lifetime puzzle in heavy-quark expansion
• Collider Signals of Baryogenesis and Dark Matter from $B$ Mesons: A Roadmap to Discovery
• A puzzle in ${\bar{B}}_{(s)}^0\to D_{(s)}^{(\ast )+}\{{\pi }^{-},K^{-}\}$ decays and extraction of the $f_s/f_d$ fragmentation fraction
• Lepton polarization asymmetries in rare semi-tauonic $b\to s$ exclusive decays at FCC-$ee$
• On the chromomagnetic expectation value μ_G^2 and higher power corrections in heavy flavor mesons
• Inclusive Semitauonic $B$ Decays to Order $\mathcal{O}({\Lambda }_{QCD}^3/m_b^3)$
• Revisiting Inclusive Decay Widths of Charmed Mesons
• Standard Model prediction of the $B_c$ lifetime
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Semileptonic width ratios among beauty hadrons
• Inclusive Semileptonic Decays in QCD Including Lepton Mass Effects
• $SU(3)$ breaking effects in $B$ and $D$ meson lifetimes
• Lifetimes of singly charmed hadrons
• Contribution of the Darwin operator to non-leptonic decays of heavy quarks
• Determination of the CKM angle gamma and |V_{ub}/V_{cb}| from inclusive direct CP asymmetries and branching ratios in charmless B decays
• Measurement of the B/s0 Lifetime and Study of B/s0 anti-B/s0 Oscillations using D/s l Events
• Three-loop corrections to the muon and heavy quark decay rates
• QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• Enhancement of the hadronic b quark decays
• Charming New $B$-Physics
• Hunting for $B^{+}\to K^{+}{\tau }^{+}{\tau }^{-}$ imprints on the $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ dimuon spectrum
• Study of B0_s anti-B0_s oscillations and B0_s lifetimes using hadronic decays of B0_s mesons
• QCD Corrected $1/m_b$ Contributions to $B\bbar$--Mixixng
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• A Precise Measurement of the B+, B0 and Mean b-hadron Lifetime with the DELPHI Detector at LEP I
• A novel determination of the $B_c$ lifetime

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• Study of singly heavy baryon lifetimes
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Dispersive constraints on fermion masses
• Quark-hadron duality at work: lifetimes of bottom baryons
• Revisiting lifetimes of doubly charmed baryons
• Collider-Flavour Complementarity from the bottom to the top
• ${\tau }_{B_s}/{\tau }_{B_d}$ and $\Delta {\Gamma }_s$ confront new physics in $b\to s\tau \tau$
• HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
• Precision measurement of the $B^0$ meson lifetime using $B^0\to J/\psi K^{\ast 0}$ decays with the ATLAS detector
• $B\to X_c\ell \bar{\nu }$ Decay as a Probe of Complex Conjugate Poles