CP Asymmetries in B->K pi, K*pi, rho K Decays

Abstract

We show that ratios of tree and penguin amplitudes in B-> K*pi and B->rho K are two to three times larger than in B-> K pi. This allows for considerably larger CP asymmetries in the former processes than the 10% asymmetry measured in B0 -> K+pi-. We study isospin sum rules for rate asymmetries in B-> K pi, K*pi, rho K, estimating small violation from interference of tree and electroweak penguin amplitudes. The breaking of the K pi asymmetry sum rule is estimated to be one to two percent and negative. Violation of K*pi and rho K sum rules can be estimated from B->rho pi amplitudes using flavor SU(3), while breaking of a sum rule combining K*pi and rho K asymmetries can be measured directly in a Dalitz analysis of B0-> K+pi-pi0. The three sum rules can be tested at the LHCb and at a future Super Flavor Factory, providing precision searches for new Delta S =Delta I=1 operators in the low energy effective Hamiltonian.

21 pages, to be published in Physical Review D

References in corpus (14)

• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Improved method for CKM constraints in charmless three-body B and B_s decays
• Measurement of CP Asymmetry in a Time-Dependent Dalitz Analysis of B^0 \to (ρπ)^0 and a Constraint on the Quark Mixing Matrix Angle ϕ_2
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• Doubly CKM-suppressed corrections to CP asymmetries in $B^0\to J/\psi K^0$
• Sum rule for rate and CP asymmetry in $B^{+}\to K^{+}{\pi }^0$
• Flavor symmetry analysis of charmless B --> VP decays
• Constraint on rho-bar, eta-bar from B to K*pi
• Status of the Unitarity Triangle Analysis
• SU(3) - Flavor Symmetry in $B\to VP$ Decays

Cited by in corpus (8)

• Implications of LHCb measurements and future prospects
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
• CP violation in the B system
• Observation of the rare decay B+->K+pi0pi0 and measurement of the quasi-two body contributions B+->K*(892)+pi0, B+->f0(980)K+ and B+->chic0K+
• Observation of $B_s^0\to K^{\ast \pm }{K}^{\mp }$ and evidence for $B_s^0\to K^{\ast -}{\pi }^{+}$ decays
• Evidence for $CP$ violation in $B^{+}\to K^{\ast }(892{)}^{+}{\pi }^0$ from a Dalitz plot analysis of $B^{+}\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^0$ decays
• Observation of the decay ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$
• Calculating Phases Between B => K* pi Amplitudes