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- W2949273330 abstract "We calculate the long-distance effect generated by the four-quark operators with c-quarks in the B → K (*) ℓ + ℓ − decays. At the lepton-pair invariant masses far below the $ bar{c}c $ -threshold, q 2 ≪ 4m c 2, we use OPE near the light-cone. The nonfactorizable soft gluon emission from c-quarks is cast in the form of a nonlocal effective operator. The B → K (∗) matrix elements of this operator are calculated from the QCD light-cone sum rules with the B-meson distribution amplitudes. As a byproduct, we also predict the charm-loop contribution to B → K * γ beyond the local-operator approximation. To describe the charm-loop effect at large q 2, we employ the hadronic dispersion relation with ψ = J/ψ, ψ(2S),... contributions, where the measured B → K (∗) ψ amplitudes are used as inputs. Matching this relation to the result of QCD calculation reveals a destructive interference between the J/ψ and ψ(2S) contributions. The resulting charm-loop effect is represented as a q 2-dependent correction ΔC 9(q 2) to the Wilson coefficient C 9. Within uncertainties of our calculation, at q 2 below the charmonium region the predicted ratio ΔC 9(q 2)/C 9 is ≤5% for B → Kℓ + ℓ −, but can reach as much as 20% for B → K * ℓ + ℓ −, the difference being mainly caused by the soft-gluon contribution." @default.
- W2949273330 created "2019-06-27" @default.
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- W2949273330 date "2010-09-01" @default.
- W2949273330 modified "2023-10-05" @default.
- W2949273330 title "Charm-loop effect in B → K (*) ℓ + ℓ − and B → K * γ" @default.
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- W2949273330 doi "https://doi.org/10.1007/jhep09(2010)089" @default.
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