Branching ratio and CP violation of $B_c \to D K$ decays in the perturbative QCD approach

TL;DR

This paper calculates the branching ratio and direct CP asymmetry of Bc to DK decays using perturbative QCD, including various diagram contributions, predicting measurable CP violation at LHCb.

Contribution

It provides a comprehensive calculation of Bc to DK decay observables within the perturbative QCD framework, accounting for all relevant diagram types.

Findings

Branching ratio around 10^{-5}

CP asymmetry approximately 7%

Dominance of tree annihilation and penguin diagrams

Abstract

In this paper, we calculate the branching ratio and direct CP asymmetry parameter of $B_c^{\pm}\to D^{0}K^{\pm}$ in the framework of perturbative QCD approach based on $k_T$ factorization. Besides the usual factorizable diagrams, both non-factorizable and annihilation type contributions are taken into account. We find that (a) the branching ratio is at the order of $10^{-5}$; (b) the tree annihilation diagrams and the penguin diagrams dominate the total contribution; and (c) the direct CP asymmetry is about 7%, which can be tested in the Large Hadron Collider beauty experiments (LHC-b) at CERN.