The Possibility of Large Direct CP Violation in B to K pi-Like Modes Due to Long Distance Rescattering Effects and Implications for the Angle gamma

Abstract

We consider the strong rescattering effects that can occur in the decays such as B -> K pi, K* pi, K rho... and their impact on direct CP violation in these modes. First we discuss, in general, how the CPT theorem constrains the resulting pattern of partial rate asymmetries leading to different brands of direct CP. Traditional discussions have centered around the absorptive part of the penguin graph which has Delta I=0 in b -> s transitions and as a result causes ``simple'' CP violation; long-distance final state rescattering effects, in general, will lead to a different pattern of CP: ``compound'' CP violation. Predictions of simple CP are quite distinct from that of compound CP. Final states rescattering phases in B decays are unlikely to be small possibly causing large compound CP violating partial rate asymmetries in these modes. CPT theorem requires a cancellation of PRA due to compound CP amongst the $K\pi$ states themselves; thus there can be no net cancellation with other states such as K*π, Kρetc. Therefore, each class of such modes, namely K pi, K rho, K^*pi, K a_1 etc. can have large direct CP emanating from rescattering effects. Various repercussions for the angle $\gamma$ are also discussed.

45 pages; 5 figures. In replacement we have : 1) corrected many typos, 2) added references, 3) decided to subdivide Simple CP into 2 categories and 4) Modified figure 3 to explain that

References in corpus (5)

• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• Final State Interactions and New Physics in B -> pi K Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• A Critical Study of B Decays to Light Pseudoscalar

Cited by in corpus (86)

• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• Penguin Enhancement and $B\to K\pi$ decays in perturbative QCD
• Final State Interactions in Hadronic B Decays
• Direct CP Violation in B -> X_s gamma Decays as a Signature of New Physics
• New Strategies to Extract $\beta$ and $\gamma$ from $B_d\to {\pi }^{+}{\pi }^{-}$ and $B_s\to K^{+}{K}^{-}$
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• Two body B decays with isosinglet final states in SCET
• Model-independent electroweak penguins in B decays to two pseudoscalars
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Branching Fractions and Direct CP Violation in Charmless Three-body Decays of B Mesons
• Non-Leptonic Two-Body B Decays Beyond Factorization
• U-Spin Symmetry in Charmless B Decays
• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Taming the Penguin in the B0(t) -> Pi+Pi- CP-asymmetry: Observables and Minimal Theoretical Input
• A precise sum rule among four B -> Kpi CP asymmetries
• Direct CP Violation in Charmless Three-body Decays of $B$ Mesons
• On a CP Anisotropy Measurement in the Dalitz Plot
• New Physics at a Super Flavor Factory
• Combining CP Asymmetries in $B\to K\pi$ Decays
• CP violation and CPT invariance in B+- decays with final state interactions
• Extracting CKM Phases from Angular Distributions of $B_{d,s}$ Decays into Admixtures of CP Eigenstates
• Final state interaction and $B\to KK$ decays in perturbative QCD
• Final state interaction phase in B decays
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
• Electroweak Penguins, Final State Interaction Phases and CP Violatioin in $B\to K\pi$ Decays
• On Large Final-State Phases in Heavy Meson Decays
• CP violation: Dalitz interference, CPT and FSI
• Constraints on the phase $\gamma$ and new physics from $B\to K\pi$ Decays
• Implications of Charmless B Decays with Large Direct CP Violation
• Improved method for CKM constraints in charmless three-body B and B_s decays
• Final State Rescattering and Color-suppressed \bar B^0-> D^{(*)0} h^0 Decays
• General Analysis of New Physics in $B\to J/\psi K$
• Rescattering Information from $B\to K\bar{K}$ Decays
• Exploring New Physics in the $B\to \varphi K$ System
• Searching for New Physics in Non-Leptonic B Decays
• B_s^0 - bar{B}_s^0 Mixing and the B_s -> J/psi phi Asymmetry in Supersymmetric Models
• Localized direct CP violation in $B^{\pm }\to {\rho }^0(\omega ){\pi }^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$
• Charmless Hadronic B-Meson Decays
• Enhancement of charm CP violation due to nearby resonances
• Rate and CP-asymmetry sum rules in $B\to K\pi$
• Convention-independent study of CP-violating asymmetries in $B\to \pi \pi$
• Direct CP violation in beauty and charm hadron decays
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Resolving B-CP Puzzles in QCD Factorization
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• Effects of R-parity violation on direct CP violation in B decays and extraction of $\gamma$
• CP violation in the partial width asymmetries for B^- -> pi^+ pi^- K^- and B^- -> K^+ K^- K^- decays
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• Measurements of time-dependent CP violation in $B^0\to \omega K_S^0$, $f_0(980)K_S^0$, $K_S^0{\pi }^0$ and $K^{+}{K}^{-}{K}_S^0$ decays
• Enhanced charm CP asymmetries from final state interactions
• Sum rule for rate and CP asymmetry in $B^{+}\to K^{+}{\pi }^0$
• Null tests of the Standard Model at an International Super $B$ Factory
• Flavor Physics and CP Violation
• Charm Penguin in $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$: partonic and hadronic loops
• Recent Theoretical Developments in CP Violation in the B System
• Exclusive Radiative Decays of B Mesons in QCD Factorization
• Color suppressed contributions to the decay modes B_{d,s} -> D_{s,d} D_{s,d}, B_{d,s} -> D_{s,d} D^*_{s,d}, and B_{d,s} -> D^*_{s,d} D^*_{s,d}
• Towards Extractions of the CKM Angle $\gamma$ from $B_{u,d}\to \pi K$ and Untagged $B_s\to K\bar{K}$ Decays
• Determining the Phases alpha and gamma from Direct CP Violation in B_u, B_d and B_s Decays to Two Vectors
• Bounding the penguin effects on determinations of $\alpha$ from $B^0(t)\to {\pi }^{+}{\pi }^{-}$ decays
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Extracting information on CKM phases, electro-weak penguins and new physics from B --> VV decays
• Evidence for the Decay B+- --> K*+- pi0
• CP asymmetry from hadronic charm rescattering in $B^{\pm }\to {\pi }^{-}{\pi }^{+}{\pi }^{\pm }$ decays at the high mass region
• A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
• Isospin of new physics in $|\Delta S|=1$ charmless B decays
• CP violation in beauty decays
• Global CP asymmetries in charmless three-body $B$ decays with final state interactions
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• Rescattering and electroweak penguin effects in determinations of the weak phase $\gamma$
• Complete analysis of all $B\to \pi K$ decays
• Weak Phases and CP Violation
• Elastic and inelastic SU(3)-breaking final-state interactions in B decays to pseudoscalar mesons
• Physics Prospects at BTeV
• Precision Tests of Flavor and CP violation in B Decays
• The BTeV Program at Fermilab
• Light Rays of New Physics: CP Violation in B -> Xs gamma Decays
• Annihilation Contributions and CP Asymmetries in $B^{+}\to {\pi }^{+}{K}^0,K^{+}{K}^0$ and $B^0\to K^0{\bar{K}}^0$
• Lattice QCD and heavy quarks
• Constraining Charming Penguins in Charmless B Decays
• Extracting the CKM phase angle γ(\equiv ϕ_3) from isospin analysis in B\to K πdecays