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Second Order Power Corrections in the Heavy Quark Effective Theory I. Formalism and Meson Form Factors

5 Pith papers cite this work. Polarity classification is still indexing.

5 Pith papers citing it
abstract

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable $v\cdot v'$. For the ground state pseudoscalar and vector mesons, this expansion is constructed at order $1/m_Q^2$. A minimal set of universal form factors is defined in terms of matrix elements of higher dimension operators in the effective theory. The zero recoil normalization conditions following from vector current conservation are derived. Several phenomenological applications of the general results are discussed in detail. It is argued that at zero recoil the semileptonic decay rates for $B\to D\,\ell\,\nu$ and $B\to D^*\ell\,\nu$ receive only small second order corrections, which are unlikely to exceed the level of a few percent. This supports the usefulness of the heavy quark expansion for a reliable determination of $V_{cb}$.

citation-role summary

method 2 background 1

citation-polarity summary

fields

hep-ph 5

years

2026 4 2023 1

verdicts

UNVERDICTED 5

representative citing papers

$b \to c$ 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.

Revisiting lifetimes of doubly charmed baryons

hep-ph · 2023-05-03 · unverdicted · novelty 5.0

Updated predictions within the heavy quark expansion confirm the lifetime hierarchy τ(Ξ_cc^+) < τ(Ω_cc^+) < τ(Ξ_cc^++) with τ(Ξ_cc^++) = 0.32 ± 0.05 +0.08/-0.07 ps matching LHCb data and provide ratios for the other states.

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