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QED factorization of non-leptonic B decays

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arxiv 2008.10615 v1 pith:XVSRYPAW submitted 2020-08-24 hep-ph hep-th

QED factorization of non-leptonic B decays

classification hep-ph hep-th
keywords factorizationcorrectionsdecayseffectselectromagneticfactorsforminclude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the framework. Nevertheless, the factorization formula takes the same form as in QCD alone, with appropriate generalizations of the definitions of light-cone distribution amplitudes and form factors to include QED effects. More precisely, we factorize QED effects above the strong interaction scale $\Lambda_{\rm QCD}$ for the non-radiative matrix elements $\langle M_1 M_2|Q_i|\bar{B}\rangle$ of the current-current operators from the effective weak interactions. The rates of the branching fractions for the infrared-finite observables $\bar B\to M_1 M_2(\gamma)$ with photons of maximal energy $\Delta E\ll\Lambda_{\rm QCD}$ is then obtained by multiplying with the soft-photon exponentiation factors. We provide first estimates for the various electromagnetic corrections, and in particular quantify their impact on the $\pi K$ ratios and sum rules that are often used as diagnostics of New Physics.

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Cited by 4 Pith papers

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