Abstract
We present estimates of the direct (in decay amplitudes) and indirect (mixing-induced) CP-violating asymmetries in the nonleptonic charmless two-body decay rates for and decays and their charged conjugates, where is a light pseudoscalar (vector) meson. These estimates are based on a generalized factorization approach making use of next-to-leading order perturbative QCD contributions which generate the required strong phases. No soft final state interactions are included. We study the dependence of the asymmetries on a number of input parameters and show that there are at least two (possibly three) classes of decays in which the asymmetries are parametrically stable in this approach. The decay modes of particular interest are and Likewise, the CP-violating asymmetry in the decays with η, is found to be parametrically stable and large. Measurements of these asymmetries will lead to a determination of the phases and and we work out the relationships in these modes in the present theoretical framework. We also show the extent of the so-called “penguin pollution” in the rate asymmetry and of the “tree shadow” in the asymmetry which will effect the determination of and from the respective measurements. CP-violating asymmetries in decays depend on a model parameter in the penguin amplitudes and theoretical predictions require further experimental or theoretical input. Of these, CP-violating asymmetries in and are potentially interesting and are studied here.
- Received 22 May 1998
DOI:https://doi.org/10.1103/PhysRevD.59.014005
©1998 American Physical Society