1998/05/20 by Ahmed Ali, A. Ali, G. Kramer +3 · 4 citations
Physics and Astronomy · #CP violation #Dark Matter and Cosmic Phenomena #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.59.014005
published as Phys. Rev. D 59, 014005 (1998) · 42 pages (LaTex) including 19 figures, requires epsfig.sty; submitted to Phys. Rev. D
arxiv created 1998/05/20 · openalex publication_date 1998/11/17 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
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 \stackrel\ensuremath→BPP,\stackrel\ensuremath→BPV, and \stackrel\ensuremath→BVV decays and their charged conjugates, where P(V) 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 B0\stackrel\ensuremath→(-)\ensuremathπ+\ensuremathπ^\ensuremath-, B0\stackrel\ensuremath→(-)KS0\ensuremathπ0, B0\stackrel\ensuremath→(-)KS0\ensuremathη^\ensuremath', B0\stackrel\ensuremath→(-)KS0\ensuremathη, and B0\stackrel\ensuremath→(-)\ensuremathρ+\ensuremathρ^\ensuremath-. Likewise, the CP-violating asymmetry in the decays B0\stackrel\ensuremath→(-)KS0h0 with h0=\ensuremathπ0, KS0, \ensuremathη, \ensuremathη^\ensuremath' is found to be parametrically stable and large. Measurements of these asymmetries will lead to a determination of the phases sin2\ensuremathα and sin2\ensuremathβ 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 ACP(\ensuremathπ+\ensuremathπ^\ensuremath-) and of the ``tree shadow'' in the asymmetry ACP(KS0\ensuremathη^\ensuremath') which will effect the determination of sin2\ensuremathα and sin2\ensuremathβ from the respective measurements. CP-violating asymmetries in B^\ifmmode±\else\textpm\fi 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 B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathπ^\ifmmode±\else\textpm\fi\ensuremathη^\ensuremath', B^\ifmmode±\else\textpm\fi\ensuremath→K^*\ifmmode±\else\textpm\fi\ensuremathη, B^\ifmmode±\else\textpm\fi\ensuremath→K^*\ifmmode±\else\textpm\fi\ensuremathη^\ensuremath', and B^\ifmmode±\else\textpm\fi\ensuremath→K^*\ifmmode±\else\textpm\fi\ensuremathρ0 are potentially interesting and are studied here.