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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.

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representative citing papers

The chromomagnetic moment of a heavy quark with hyperasymptotic precision

hep-ph · 2026-04-06 · unverdicted · novelty 7.0

The normalization of the leading IR renormalon in the heavy quark chromomagnetic moment is fixed, enabling hyperasymptotic hyperfine splitting calculations for ground-state B and D mesons and yielding the fitted value hat mu^2_{G,PV} = 0.507(7) GeV^2.

Predictions for $b$-baryon lifetimes at NNLO-QCD

hep-ph · 2026-07-07 · accept · novelty 6.0

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.

A Phenomenological Model of Mesons for Charged Current Weak Decays

hep-ph · 2026-05-13 · unverdicted · novelty 6.0

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.

Analysis of the QCD Kondo phase using random matrices

hep-th · 2020-05-30 · unverdicted · novelty 6.0

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.

$b \to c$ semileptonic sum rule: orbitally excited hadrons

hep-ph · 2026-04-30 · unverdicted · novelty 6.0

Sum rules for b→cτν transitions to orbitally excited charm hadrons show larger deviations from heavy quark symmetry than ground states, with tensor effects often sizable, but current form factor uncertainties prevent robust lepton-universality predictions.

Semileptonic $B_q$ decays to heavy tensor mesons

hep-ph · 2026-04-29 · unverdicted · novelty 6.0

Form factors for B_q to J^P=2^+ tensor meson semileptonic decays are computed via light-cone QCD sum rules with external B state, yielding SM decay rates and LFU test ratios.

Hadron properties at finite temperature

nucl-th · 2026-04-30 · unverdicted · novelty 2.0

A review of thermal modifications to light and heavy hadron properties via imaginary-time formalism, effective field theories, unitarized approaches, and lattice QCD, with links to heavy-ion phenomenology.

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