CP asymmetries in B→Kπ, K*π, ρk decays

Michael Gronau, Dan Pirjol, Jure Zupan

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We show that ratios of tree and penguin amplitudes in B→K *π and B→ρK are 2 to 3 times larger than in B→Kπ. This allows for considerably larger CP asymmetries in the former processes than the 10% asymmetry measured in B0→K+π -. We study isospin sum rules for rate asymmetries in B→Kπ, K*π, ρK, estimating small violation from interference of tree and electroweak penguin amplitudes. The breaking of the Kπ asymmetry sum rule is estimated to be 1 to 2% and negative. Violation of K *π and ρK sum rules can be estimated from B→ρπ amplitudes using flavor SU(3), while breaking of a sum rule combining K*π and ρK asymmetries can be measured directly in a Dalitz analysis of B0→K+π-π0. The three sum rules can be tested using complete sets of data taken at e +e- B factories and in experiments at the LHCb and at a future Super Flavor Factory, providing precision searches for new ΔS=ΔI=1 operators in the low-energy effective Hamiltonian.

Original languageEnglish
Article number094011
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume81
Issue number9
DOIs
StatePublished - 7 May 2010

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