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.
Second order power corrections in the heavy quark effective theory. 1. Formalism and meson form-factors
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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 $V_{cb}$.
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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.
Updated lifetime predictions for doubly heavy baryons and B_c meson with NNLO and NLO corrections in MS-bar, kinetic, and Upsilon mass schemes, including new hierarchies for bc states.
The SU(3) flavor symmetry violation in the extended b to c semileptonic sum rule is smaller than expected future experimental uncertainties, supporting new physics-agnostic consistency checks.
citing papers explorer
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$b \to c$ semileptonic sum rule: orbitally excited hadrons
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.
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Revisiting lifetimes of doubly charmed baryons
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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New Predictions for the Lifetimes of Doubly Heavy Baryons and the $B_c$ Meson
Updated lifetime predictions for doubly heavy baryons and B_c meson with NNLO and NLO corrections in MS-bar, kinetic, and Upsilon mass schemes, including new hierarchies for bc states.
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$b \to c$ semileptonic sum rule: SU(3)$_{\rm{F}}$ symmetry violation
The SU(3) flavor symmetry violation in the extended b to c semileptonic sum rule is smaller than expected future experimental uncertainties, supporting new physics-agnostic consistency checks.