A study of some methods for measuring CKM CP violating phases

Abstract

We study the influence of penguin (especially, electroweak penguin) effects on some methods of measuring the angles α, β, and γ in the CKM unitarity triangle. We use next-to-leading order effective Hamiltonian, and present numerical estimates based on the factorization approximation. We find that some techniques suggested in the literature, especially for α determination, are not workable in light of the electroweak penguin effects. Nevertheless, there are methods that would work for each angle determination. For angle β we consider B → D + D − mode and estimate the penguin contamination.For angle γ we consider a method based on SU(3) symmetry and carefully consider SU(3) breaking effects. We point out regions in the parameter space where this method could be used reliably.

CPviolation in quasi-inclusiveB→K(*)Browder1, Datta2, He3 et al. 1998Phys. Rev. D311400View full textAdd to dashboardCite

“…The theoretical and the experimental signatures of these asymmetries have been extensively discussed elsewhere [1], [2], [3], [4], [5]. At asymmetric B factories, it is possible to measure the time dependence of B decays and therefore time dependent rate asymmetries of neutral B decays due to B −B mixing.…”

Model-independent analysis of CP violation in charmed meson decays

“…In this approach all the decay amplitudes are decomposed into the so-called topological amplitudes corresponding to the different topological quark diagrams. Based on flavor SU (3) symmetry, the heavy meson decay amplitudes also can be decomposed into linear combinations of the SU(3) amplitudes which are SU(3) reduced matrix elements [35][36][37][38][39][40][41][42]. This approach is equivalent to the quark diagram approach when flavor SU(3) symmetry is imposed to the latter.…”

“…Based on flavor SU (3) symmetry, the heavy meson decay amplitudes also can be decomposed into linear combinations of the SU(3) amplitudes which are SU(3) reduced matrix elements [35][36][37][38][39][40][41][42]. This approach is equivalent to the quark diagram approach when flavor SU(3) symmetry is imposed to the latter.…”

Large CP violation in B→K(*)X decays

“…The possibility of observing large CP violating asymmetries in the decay of B mesons motivates the construction of high luminosity B factories at several of the world's high energy physics laboratories. The theoretical and the experimental signatures of these asymmetries have been extensively discussed elsewhere [1], [2], [3], [4], [5]. At asymmetric B factories, it is possible to measure the time dependence of B decays and therefore time dependent rate asymmetries of neutral B decays due to B − B mixing.…”