Charm Penguin in $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$: partonic and hadronic loops

Abstract

Charm penguin diagrams are known to be the main contribution to charmless B decay process with strangeness variation equal to minus one, which is the case of $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$ decay. The large phase space available in this and other B three-body decays allows non trivial final state interactions with all sort of rescattering processes and also access high momentum transfers in the central region of the Dalitz plane. In this work we investigate the charm Penguin contribution to $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$, described by a hadronic triangle loop in nonperturbative regions of the phase space, and by a partonic loop at the quasi perturbative region. These nonresonant amplitudes should have a particular structure in the Dalitz plane and their contributions to the final decay amplitude can be confirmed by a data amplitude analysis in this channel. In particular, the hadronic amplitude has a changing sign in the phase at $D\bar{D}$ threshold which can result in a change of sign for the CP asymmetry.

References in corpus (5)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Three-Body Non-Leptonic B Decays and QCD Factorization
• CP violation: Dalitz interference, CPT and FSI
• Suppressed $B\to PV$ CP asymmetry: CPT constraint

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• Three-Body Non-Leptonic Heavy-to-heavy $B$ Decays at NNLO in QCD
• CP asymmetry from hadronic charm rescattering in $B^{\pm }\to {\pi }^{-}{\pi }^{+}{\pi }^{\pm }$ decays at the high mass region
• Dispersive $\pi \pi \to K\bar{K}$ amplitude and giant CP violation in B to three light-meson decays at LHCb
• Global CP asymmetries in charmless three-body $B$ decays with final state interactions
• Charm rescattering contribution in rare $B_c^{+}\to K^{+}{K}^{-}{\pi }^{+}$ decay
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays
• Experimental overview of spectroscopy from heavy hadron decays