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Heavy Quark Symmetry
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abstract
We review the current status of heavy quark symmetry and its applications to weak decays of hadrons containing a single heavy quark. After an introduction to the underlying physical ideas, we discuss in detail the formalism of the heavy quark effective theory, including a comprehensive treatment of symmetry breaking corrections. We then illustrate some nonperturbative approaches, which aim at a dynamical, QCD-based calculation of the universal form factors of the effective theory. The main focus is on results obtained using QCD sum rules. Finally, we perform an essentially model-independent analysis of semileptonic $B$ meson decays in the context of the heavy quark effective theory.
Forward citations
Cited by 32 Pith papers
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The Simplest B Decay, Precisely
A complete QCD×QED, next-to-leading-power factorization now gives a percent-level prediction for B⁻→μ⁻ν̄(γ) with all structure-dependent electromagnetic corrections included.
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Inclusive $\bar B_s\mapsto X_{\bar sc} \ell \bar \nu$ decays from lattice QCD: computational strategy and a first physical result
Lattice QCD strategy interpolates sub-physical mass data with OPE to obtain the inclusive anti-B_s to X_sc l nu decay rate, yielding 7% precision on limited ETMC ensembles via a new four-point correlator method.
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Total decay rates of $B$ mesons at NNLO-QCD
At NNLO in QCD, the heavy quark expansion predicts the B+, Bd, and Bs decay widths and semileptonic branching fractions within experimental uncertainties, with a systematic 4% shortfall in the central width values.
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An effective field theory for muon conversion and muon decay-in-orbit
A five-stage EFT tower factorizes QED corrections to muon conversion and decay-in-orbit near the endpoint, yielding a resummed NLL-corrected signal shape.
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Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules
A Hilbert series construction yields the complete four-meson, two-derivative operator basis with CKM spurions, from which all leading-order B to pseudoscalar decay sum rules follow as null vectors.
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Quantum numbers of excited $\Xi_c^\prime$ and $\Omega_c$ baryons and the $P$-wave $\Sigma_c$ spectrum
The excited Ξ_c and Ω_c baryons share successive J^P = 1/2^-, 3/2^-, 3/2^-, 5/2^- λ-mode assignments, with Ω_c(3119) as a ρ-mode 3/2^- state and four P-wave Σ_c states predicted inside existing structures.
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Heavy meson chiral perturbation theory constraints on a charm-coupled GeV-scale QCD axion
A charm-only QCD axion model passes a heavy-meson EFT consistency check, with its tightest bound coming from σ-mediated B_s mixing.
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QED Corrections to $B^-\to\tau^-\bar{\nu}_\tau$
The B−→τ−ν̄τ rate with real and virtual QED corrections is derived to O(α) with resummed logarithmic corrections in a two-heavy-fermion EFT: percent-level effects, mild photon-veto dependence, and a structure-dependen...
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SCET sum rules for $B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors at next-to-leading order
First O(αs) SCET light-cone sum rules for B o D1 and B o D1' form factors yield R(D1)=0.070+0.028-0.018 and R(D1')=0.159+0.032-0.025.
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Predictions for $b$-baryon lifetimes at NNLO-QCD
NNLO-QCD corrections to the free b-quark decay and NLO corrections to dimension-five operators reduce uncertainties in HQE predictions for b-baryon lifetimes, yielding excellent agreement with experiment.
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Heavy mesons from the QCD instanton vacuum beyond the static limit
Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Possible $\bar{D}^{(*)} \Xi_{cc}^{(*)}$ and $\Xi_{cc}^{(*)}\Xi_{cc}^{(*)}$ molecules as superflavor partners of $T_{cc}$
Using one-boson-exchange potentials and superflavor symmetry, the authors predict many hadronic molecules of charmed mesons and doubly charmed baryons as partners of the Tcc tetraquark.
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Topped baryons from QCD sum rules
QCD sum rules in HQET predict ground-state singly topped baryon masses near 174 GeV, some 1.1-1.5 GeV above the top quark pole mass.
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Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
Using Möbius domain-wall fermions in two-flavor QCD, the authors find that vector/axial-vector and tensor/axial-tensor screening masses become degenerate above Tc, while the chiral-spin A-X splitting stays around 40 M...
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Heavy quark symmetry behind $b \to c$ semileptonic sum rule
In the heavy quark limit, the differential decay rates of B to D, B to D*, and Lambda_b to Lambda_c with tau leptons satisfy an exact sum rule independent of new physics, with corrections quantified for realistic mass...
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Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions
New subleading-power corrections to B to K* form factors from SCET sum rules yield SM branching fractions BR(Bbar0 to Kbar*0 nu nubar)=8.09(96)e-6 and F_L=0.44(4).
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Bottomoniumlike states in proton collisions: Fragmentation and resummation
New TQHL1.1 and TQ4Q1.1 fragmentation functions for doubly and fully bottomed tetraquarks are constructed and evolved, yielding first predictions for bottom-tetraquark plus jet distributions at 14 and 100 TeV.
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$V_{cb}$ puzzle in semi-leptonic $B\to D^*$ decays revisited
Using the latest Belle and Belle II data, CLN, BGL, and HQET fits give consistent exclusive |Vcb| values near 39.7 times 10^-3, confirming the persistent 2 to 3 sigma gap with the inclusive value.
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Fate of $\Sigma_c$, $\Xi_c'$ and $\Omega_c$ baryons at high temperature with chiral restoration
At high temperature, parity partners of singly charmed baryons become degenerate, Sigma_c and Omega_c masses converge, and the Sigma_c to Lambda_c pi width closes.
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Correlators of heavy-light quark currents in HQET: Perturbative contribution up to 4 loops and beyond
New four-loop coefficient functions are presented for the HQET heavy-light current correlator with light-quark mass terms up to second order.
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Analysis of the QCD Kondo phase using random matrices
A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.
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Theory determination of $\bar{B}\to D^{(*)}\ell^-\bar\nu$ form factors at $\mathcal{O}(1/m_c^2)$
A full heavy-quark expansion to order 1/m_c^2 for all B to D and D* form factors gives a consistent theory determination of |V_cb| = (40.3 ± 0.8) x 10^-3 and sharp predictions for R(D^(*)).
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Chiral Doubling of Heavy-Light Hadrons and the New Beauty--Strange $B_{s0}^*(5700)^0$ Candidate
If the new B_s0*(5700) has J^P=0+, its mass matches the chiral-doubling prediction for the parity partner of B_s, implying a narrow 1+ state at 5747 MeV.
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Toward Precision Fragmentation of $\Omega_{3Q}$ Baryons: The OMG3Q1.1 Framework
The OMG3Q1.1 framework delivers the first uncertainty-quantified set of fragmentation functions for all-heavy Ω_{3Q} baryons via diquark-inspired inputs, HF-NRevo evolution, and replica-based error estimation.
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Weak decays of $B_s$ meson in self-consistent covariant light-front approach
A self-consistent light-front quark model calculation gives B_s to P(V) form factors and decay observables, with semileptonic results consistent with lattice QCD and LHCb but nonleptonic predictions requiring fitted e...
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Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
A coupled-channel mixture model fitted to the X(3872) and Z(3930) masses predicts the X(3860) at about 3867 MeV, dominated by the charmonium core.
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A Comprehensive Analysis of $B_s \to D_s^{**}\ell\nu_\ell$ Decays Within and Beyond the Standard Model
The authors evaluate form factors via HQET and z-expansion for B_s to D_s** l nu decays, predict SM LFU ratios R_Ds0*=0.158(20) etc., and analyze NP effects in WET/SMEFT/2HDM showing scalar/tensor operators produce >2...
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Probing the structure of $\chi_{c1}(3872)$: Heavy quark symmetries at work
Heavy-quark large-mass limit applied to E1 transitions of χ_c1(2P) yields decay rates that match LHCb measurements for χ_c1(3872) under the 2P assignment.
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$|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond
Fits to B to D(*) l nu form factors with BSZ, BGL and HQET yield |V_cb| matching PDG average for BGL but smaller for HQET, while data still allows non-zero new physics contributions.
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Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023
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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Charm physics
A review chapter summarizing the theoretical framework and experimental status of charm hadron lifetimes, D0 mixing, CP violation, and rare decays.
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