Sum rules for 𝐵→𝜋𝜂(′), 𝐾𝜂(′), 𝜂(′)𝜂(′) decays

We provide a set of sum rules, using flavor symmetries, relating CP-averaged ratios and CP asymmetries of different neutral and charged B mesons decaying into an eta(()'()) particle together with a pion, a kaon or a second eta(()'()). These sum rules allow us to give a prediction for the B-0 -> K-0 eta branching ratio. We also predict a clear sign anti-correlation between the two B-0 -> pi(0)(eta,eta') CP asymmetries, and find a combined constraint on the branching ratios and CP asymmetries of the three B-0 -> eta(()'())eta(()'()) decay modes. (C) 2007 Elsevier B.V. All rights reserved.