Standard Model prediction of the $B_c$ lifetime

Abstract

Applying an operator product expansion approach we update the Standard Model prediction of the $B_c$ lifetime from over 20 years ago. The non-perturbative velocity expansion is carried out up to third order in the relative velocity of the heavy quarks. The scheme dependence is studied using three different mass schemes for the $\bar{b}$ and $c$ quarks, resulting in three different values consistent with each other and with experiment. Special focus has been laid on renormalon cancellation in the computation. Uncertainties resulting from scale dependence, neglecting the strange quark mass, non-perturbative matrix elements and parametric uncertainties are discussed in detail. The resulting uncertainties are still rather large compared to the experimental ones, and therefore do not allow for clear-cut conclusions concerning New Physics effects in the $B_c$ decay.

arXiv comment42 pages, 1 figure

References in corpus (56)

• Big-Bang Nucleosynthesis
• Theory and phenomenology of two-Higgs-doublet models
• Evidence for an excess of B -> D(*) Tau Nu decays
• Measurement of an Excess of B -> D(*) Tau Nu Decays and Implications for Charged Higgs Bosons
• Measurement of the branching ratio of $\bar{B}\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to $\bar{B}\to D^{(\ast )}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• Measurement of the ratio of branching fractions $\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}({\overline{B}}^0\to D^{\ast +}{\mu }^{-}{\overline{\nu }}_{\mu })$
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Flavor-phenomenology of two-Higgs-doublet models with generic Yukawa structure
• Measurement of the branching ratio of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with a semileptonic tagging method
• Reparameterisation Invariance Constraints on Heavy Particle Effective Field Theories
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• A quark mass definition adequate for threshold problems
• Measurement of the ratio of branching fractions $\mathcal{B}(B_c^{+}\to J/\psi {\tau }^{+}{\nu }_{\tau })$/$\mathcal{B}(B_c^{+}\to J/\psi {\mu }^{+}{\nu }_{\mu })$
• The lifetime of the $B_c^{-}$ meson and the anomalies in $B\to D^{(\ast )}\tau \nu$
• Explaining B->Dτν, B->D*τνand B->τνin a 2HDM of type III
• A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model
• Weak Hamiltonian, CP Violation and Rare Decays
• The HQET/NRQCD Lagrangian to order alpha/m^3
• B decay and the Upsilon mass
• $B_c$ spectroscopy
• Spectator Effects in Inclusive Decays of Beauty Hadrons
• B decays in the upsilon expansion
• B_c Decays and Lifetime in QCD Sum Rules
• Physics of B_c mesons
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• B physics Beyond the Standard Model at One Loop: Complete Renormalization Group Evolution below the Electroweak Scale
• Revisiting the one leptoquark solution to the $R(D^{(\ast )})$ anomalies and its phenomenological implications
• Charged Higgs Effects on Exclusive Semi-tauonic $\bbox{B}$ Decays
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• The $B_c$ Meson Lifetime
• The b quark low-scale running mass from Upsilon sum rules
• Quarkonia and the Pole Mass
• Prospects for the Bc Studies at LHCb
• Calculation of Quarkonium Spectrum and $m_b,m_c$ to Order ${\alpha }_s^4$
• Theoretical Update of the Semileptonic Branching Ratio of B Mesons
• Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Effective Field Theory and Matching in Non-Relativistic Gauge Theories
• Charm Quark Mass Dependence of QCD Corrections to Nonleptonic Inclusive B Decays
• Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
• Cancellation of Renormalon Ambiguities in the Heavy Quark Effective Theory
• Next-to-leading Order Radiative Corrections to the Decay $b\to ccs$
• O(α_s^2) corrections to semileptonic decay b \to c l \bar ν_l
• Heavy-to-heavy quark decays at NNLO
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• Inclusive $B_c$ Decays As A QCD Lab
• Improving constraints on tan(beta)/m_H using B \to D tau \bar{nu}
• Scalar doublet models confront $\tau$ and $b$ anomalies
• The lifetime of B_c-meson and some relevant problems
• Renormalons in Effective Field Theories
• The inclusive decay b to ccs revisited
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Exploring top quark FCNC within 2HDM type III in association with flavor physics
• Cancellation of $1/m_Q$ Corrections to the Inclusive Decay Width of a Heavy Quark

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