Effects of hadronic loops on the direct CP violation of $B_c$

Abstract

It is well known that the final state interaction plays an important role in the decays of $B$-meson. The contribution of the final state interaction which is supposed to be long-distance effects, to the concerned processes can interfere with that of the short-distance effects produced via the tree and/or loop diagrams at quark-gluon level. The interference may provide a source for the direct CP violation ${\mathcal{A}}_{CP}$ in the process $B_c^{+}\to D^0{\pi }^{+}$. We find that a typical value of ${\mathcal{A}}_{CP}$ when the final state interaction effect is taken into account can be about -22% which is different from that without the final state interaction effect. Therefore, when we extract information on CP violation from the data which will be available at LHCb and the new experiments in $B$-factories, the contribution from the final state interaction must be included. This study may be crucial for searching new physics in the future.

arXiv comment15 pages, 3 figures, 2 tables. More discussion added

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Cited by in corpus (9)

• The pure annihilation type B_c to M_2 M_3 decays in the perturbative QCD approach
• Study of Bc -> BP,BV Decays with QCD Factorization
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
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• Charm Physics - A Field Full with Challenges and Opportunities
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• CP violation in non-leptonic $B_c$ decays to excited final states
• The two-body hadronic decays of $B_c$ meson in the perturbative QCD approach: A short review
• The FSI contribution to the observed $B_s$ decays into $K^{+}{K}^{-}$ and ${\pi }^{+}{K}^{-}$