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Explicit estimate of charm rescattering in B⁰ to K⁰ bar{ell} ell
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Explicit estimate of charm rescattering in B⁰ to K⁰ bar{ell} ell
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We analyze $B^0 \to K^0 \bar{\ell}\ell$ long-distance contributions induced by the rescattering of a pair of charmed and charmed-strange mesons. We present an explicit estimate of these contributions using an effective description in terms of hadronic degrees of freedom, supplemented by data on the $B^0 \to D^*D_s (D^*_sD)$ transition in order to reproduce the corresponding discontinuity in the $B^0 \to K^0 \bar{\ell}\ell$ amplitude. The $D^* D_s (D^*_s D) K$ vertex is estimated using heavy-hadron chiral perturbation theory, obtaining an accurate description of the whole rescattering process in the low-recoil (or high-$q^2$) limit. We also present an extrapolation to the whole kinematical region introducing hadronic form factors. The explicit estimate of the leading $D^*D_s (D^*_sD)$ intermediate state leads to a long-distance amplitude which does not exceed a few percent relative to the short-distance one. The consequences of this result for the extraction of the short-distance coefficient $C_9$ are discussed.
Forward citations
Cited by 9 Pith papers
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A global fit of b→s ℓ+ℓ− and b→s νν data finds that hadronic charm-loop effects, not a new short-distance coupling C9, can explain the observed anomalies.
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Test of lepton flavour universality with $B^0\to K^{*0}\ell^+\ell^-$ decays at large dilepton invariant mass
R_K*0 is measured as 1.08^{+0.14}_{-0.12}(stat) ± 0.07(syst) for q² > 14 GeV²/c⁴ in B⁰ → K*⁰ ℓ⁺ℓ⁻ decays, consistent with the Standard Model.
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A Dispersive Look at Rare $B$-meson Semileptonic Decays
Lattice-only Dispersive Matrix form factors enlarge large-recoil uncertainties and, with new angular data, favour long-distance hadronic effects over a short-distance C9 New Physics shift.
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Disentangling short- vs. long-distance dynamics in $B\to K^{*}\mu^+\mu^-$
Dispersive resonance modeling of non-local effects in B o K*μ+μ- reduces the C9 anomaly to ≤2σ while yielding precise postdictions for S7,8,9.
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The LFU ratio R_Λ^{τ/μ} for Λ_b → Λ τ⁺τ⁻ is predicted in the SM with below-10% uncertainty and can be enhanced by several orders of magnitude in EFT models motivated by b→cτν and b→sμμ anomalies.
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Weak Annihilation Contribution to Angular Observables in $B_{c}^+\to D^{\ast+}\ell^{+}\ell^{-}$ Decays
Weak annihilation contributions are sizable in B_c^+ to D^{*+} lepton pair decays and must be included to obtain reliable Standard Model predictions for angular observables.
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