TY - JOUR
T1 - CP asymmetries in B→Kπ, K*π, ρk decays
AU - Gronau, Michael
AU - Pirjol, Dan
AU - Zupan, Jure
PY - 2010/5/7
Y1 - 2010/5/7
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.81.094011
DO - 10.1103/PhysRevD.81.094011
M3 - Article
AN - SCOPUS:77953149028
SN - 1550-7998
VL - 81
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
M1 - 094011
ER -