Charm Penguin in B± → K±K+K−: Partonic and hadronic loops

I Bediaga,T Frederico,P.C Magalhães

doi:10.1016/j.physletb.2018.02.062

I Bediaga, T Frederico + Show 1 more

Open Access

https://doi.org/10.1016/j.physletb.2018.02.062

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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±→K±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±→K±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 DD¯ threshold which can result in a change of sign for the CP asymmetry.

Highlights

The general method to access directly CP asymmetries and partial branching fraction in charmless B decays uses mainly the relative contributions of Penguins and Trees quark diagrams
The authors in Refs. [4, 5] used Heavy Meson Chiral Perturbation Theory (HMChPT) to estimate nonresonant form factors in B → hhh (h ≡ light mesons) and argued that they are dominated by tree quark topologies
A similar correlation in the CP asymmetry, i.e. in the same mass region, was observed between the two channels B± → π±K+K− and B± → π±π+π−. These results indicate that the rescattering process π+π− → K+K− is present in these decays [9, 10], carrying the strong phase necessary for CP violation and conserving CPT global symmetry as discussed in Ref. [9, 10]

Summary

Introduction

The general method to access directly CP asymmetries and partial branching fraction in charmless B decays uses mainly the relative contributions of Penguins and Trees quark diagrams. When moving to hadronic (long distance) interaction contributions in charmless three-body B decays, two out of the three light pseudo-scalars in the final state have access to a large range of energy in the available phase space, which allow them to rescatter into other mesons.

Results

Conclusion