Revisiting nonfactorizable charm-loop effects in exclusive FCNC $B$-decays

Abstract

We revisit the calculation of nonfactorizable corrections induced by charm-quark loops in exclusive FCNC $B$-decays. For the sake of clarity, we make use of a field theory with scalar particles: this allows us to focus on the conceptual issues and to avoid technical complications related to particle spins in QCD. We perform a straightforward calculation of the appropriate correlation function and show that it requires the knowledge of the full generic three-particle distribution amplitude with non-aligned arguments, $⟨0|\bar{s}(y)G_{\mu \nu }(x)b(0)|B(p)⟩$. Moreover, the dependence of this quantity on the variable $(x-y{)}^2$ is essential for a proper account of the ${\left({\Lambda }_{\mathrm{QCD}}{m}_b/m_c^2\right)}^n$ terms in the amplitudes of FCNC $B$-decays.

arXiv comment5 pages, minor clarifications added, version to appear in PLB

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Cited by in corpus (9)

• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• Non-local matrix elements in $B_{(s)}\to \{K^{(\ast )},\varphi \}{\ell }^{+}{\ell }^{-}$
• Charming loops in exclusive rare FCNC $B$-decays
• Non-factorizable charming loops in FCNC B decays vs B-decay semileptonic form factors
• Three-particle distribution in B meson and charm-quark loops in FCNC B decays
• Charming-loop contribution to $B_s\to \gamma \gamma$ decay
• Constraints on the anomalous $Wtb$ couplings from $B$-physics experiments
• Form factors for $B\to j_1{j}_2$ decays into two currents in QCD
• Factorization of multiparticle contributions to amplitudes of B-meson weak decays