Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays

Abstract

We accomplish the analytical computation of the pure weak annihilation non-leptonic $B$-meson decay amplitudes at leading power in the heavy quark expansion. The novel observation regarding such fundamental hadronic quantities is that adding the missing hard-collinear contribution on top of the hard gluon exchange effect eliminates rapidity divergences entering the convolution integrals of factorization formulae. Subsequently we identify the perturbative enhancement mechanism due to the penguin contractions of the current-current operators from the weak effective Hamiltonian, which yields the significant impacts on the CP violating observables.

5+2 pages, 1 figure

References in corpus (7)

• FLAG Review 2021
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• Power Corrections in Charmless Nonleptonic B-Decays: Annihilation is Factorizable and Real
• A Combined Fit on the Annihilation Corrections in $B_{u,d,s}$ $\to$ $PP$ Decays Within QCDF
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Cited by in corpus (4)

• Charming-loop contribution to $B_s\to \gamma \gamma$ decay
• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• Isospin sum rules for the nonleptonic $B$ decays
• Search for $B_c^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decays and measurement of the branching fraction ratio $\mathcal{B}(B_c^{+}\to \psi (2S){\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$