Fat penguins and imaginary penguins in perturbative QCD

Abstract

We evaluate $B\to K\pi$ decay amplitudes in perturbative QCD picture. It is found that penguin contributions are dynamically enhanced by nearly 50% compared to those assumed in the factorization approximation. It is also shown that annihilation diagrams are not negligible, and give large strong phases. Our results for branching ratios of $B\to K\pi$ decays for a representative parameter set are consistent with data. We evaluate $B\to K\pi$ decay amplitudes in perturbative QCD picture. It is found that penguin contributions are dynamically enhanced by nearly 50% compared to those assumed in the factorization approximation. It is also shown that annihilation diagrams are not negligible, and give large strong phases. Our results for branching ratios of $B\to K\pi$ decays for a representative parameter set are consistent with data.

11 pages, Latex2e, 3 figures, corrected some typos and reduced no. of figures. Changed the abstract, Submit at PLB

References in corpus (1)

• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit

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• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Non-leptonic decays of Charmed mesons into two Pseudoscalars
• Three-Parton Contributions to B --> M_1 M_2 Annihilation at Leading Order
• Contributions of the kaon pair from $\rho (770)$ for the three-body decays $B\to DK\bar{K}$
• Axial-vector $f_1(1285)-f_1(1420)$ mixing and $B_s\to J/\psi (f_1(1285),f_1(1420))$ decays
• $B\to a_1(1260)a_1(1260)$ and $b_1(1235)b_1(1235)$ decays in the perturbative QCD approach
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Study of $B\to K_0^{\ast }(1430)K^{(\ast )}$ decays in QCD Factorization Approach
• To understand the rare decay $B_s\to {\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$
• $B_c$ $\to$ $BP$, $BV$ decays with the QCD factorization approach
• Cabibbo-Kobayashi-Maskawa-favored $B$ decays to a scalar meson and a $D$ meson
• R-Parity violation in B --> pi+ pi- decay
• Physics Opportunities at a Photon-Photon Collider
• Investigation of $B_{u,d}\to (\pi ,K)\pi$ decays within unparticle physics
• What can we learn from $B\to$ $\rho (\omega )K$ decays?
• The PQCD approach towards to next-to-leading order: a short review
• Study Pure Annihilation Decays $B_s^0({\bar{B}}_s^0)\to D^{\pm }{\pi }^{\mp }$ in PQCD Approach
• Asymmetries from the interference between Cabibbo-favored and doubly-Cabibbo-suppressed D decays
• Relation between Light Cone Distribution Amplitudes and Shape Function in B mesons
• Charmless Two-body $B(B_s)\to PP,VP$ decays In Soft-Collinear-Effective-Theory
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• $B$-to-Glueball form factor and Glueball production in $B$ decays
• From topological amplitude to rescattering dynamics
• Pion and Kaon form factors in the perturbative QCD approach
• Restoration of $k_T$ factorization for low $p_T$ hadron hadroproduction
• Effect of resonance for $CP$ asymmetry of the decay process ${\bar{B}}_s\to P{\pi }^{+}{\pi }^{-}$ in perturbative QCD
• Three-parton contribution to the $B\to \pi$ form factors in $k_T$ factorization
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Space-and Time-like Electromagnetic Kaon Form Factors
• CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT
• Study of Nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ Weak Decays with Factorization Approach
• U-Spin Tests of the Standard Model and New Physics
• $B\to D{K}_{0,2}^{\ast }$ Decays: PQCD analysis to determine CP violation phase angle $\gamma$
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• CP Asymmetries in B->K pi, K*pi, rho K Decays
• The perturbative QCD predictions for the decay B^{0}_{s}\rightarrow SS(a_{0}(980),f_{0}(980),f_{0}(500))
• High Energy Photon-Photon Collisions at a Linear Collider
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• Calculation of the $B\to K_{0,2}^{\ast }(1430)f_0(980)/\sigma$ decays in the Perturbative QCD Approach
• Study of nonleptonic $B_q^{\ast }$ $\to$ $D_{q}V$ and $P_q{D}^{\ast }$ weak decays
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Study of $CP$ Violations in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}{f}_0(500)$ decays in the QCD factorization approach
• Obtaining CKM Phase Information from B Penguin Decays
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• The rare decays B --> K(*) anti-K(*) and R-parity violating supersymmetry
• Perturbative QCD Analysis of Exclusive Processes $e^{+}{e}^{-}\to VP$ and $e^{+}{e}^{-}\to TP$
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Double Lepton Polarization Forward--Backward Asymmetries in B \rar K^\ast \ell^+ \ell^- Decay in the SM4
• Power Corrections in Charmless B Decays
• Final-state Polarization in Bs Decays
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Calculation of the Branching Ratio of $B^{-}\to h_c+K^{-}$ in PQCD
• Analysis of CKM-Favored Quasi-Two-Body $B\to D(R\to )K\pi$ Decays in PQCD Approach
• Charmless $B_s\to VS$ Decays in PQCD Approach
• Sudakov effects in BBNS approach
• Direct $CP$ violation for ${\bar{B}}_s^0\to \varphi {\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Factorization and hadronic B decays in the heavy quark limit
• CP violation in beauty decays
• Study of the four-body decays $B_S^0\to \pi \pi \pi \pi$ in the perturbative QCD approach
• Study of localized $CP$ violation in $B^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}$ and the branching ratio of $B^{-}\to \sigma (600){\pi }^{-}$ in the QCD factorization approach
• Complete Analysis on the Short Distance Contribution of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in Standard Model
• $CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• A study on the radiative dileptonic decays $B^0(B_s)\to \gamma {\ell }^{+}{\ell }^{-}$
• CP Asymmetry in ${\bar{B}}^0\to K^{-}{\pi }^{+}$ from SUSY Flavor Changing Interactions
• Extracting alpha from B0(d) --> K0 anti-K0 Decays
• Penguin-dominated $B\to \varphi K_1(1270)$ and $\varphi K_1(1400)$ decays in the perturbative QCD approach
• Semi-Inclusive B\to K(K^*) X Decays with Initial Bound State Effects
• CP violation in non-leptonic $B_c$ decays to excited final states
• Revisiting Final State Interaction in Charmless $B_q\to PP$ Decays
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Test of Factorization Hypothesis from Exclusive Non-leptonic B decays
• Impact of Subleading Corrections on Hadronic B Decays
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Probing new physics in $B\to J/\Psi {\pi }^0$ decay
• Analysis of $CP$ violation in $D^0\to K^{+}{K}^{-}{\pi }^0$
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• Tests for CPT sum rule and U-spin violation in Time-dependent CP violation of $B_s^0\to K^{+}{K}^{-}$ and $B_d^0\to {\pi }^{+}{\pi }^{-}$
• Large non-factorizable contributions in $B\to a_0{a}_0$ decays
• Search for new physics from $B\to \pi \varphi$
• Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
• Branching ratios of $B^{+}\to D^{(\ast )+}{K}^{(\ast )0}$ decays in perturbative QCD approach
• Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor
• Measurement of the branching fractions of $D_s^{+}\to {\eta }^{\prime }X$ and $D_s^{+}\to {\eta }^{\prime }{\rho }^{+}$ in $e^{+}{e}^{-}\to D_s^{+}{D}_s^{-}$
• Phenomenology of B -> pi pi, pi K Decays at O(alpha^2 beta_0) in QCD Factorization
• What can we learn from $B^{+}\to D_s^{(\ast )-}{K}^{+}{\pi }^{+}$, $B_d\to D_s^{(\ast )-}{K}^0{\pi }^{+}$ and $B_d\to D_s^{(\ast )-}{K}^{\ast +}$ decays?
• ${\bar{B}}^0\to {\pi }^{+}X$ in the Standard Model
• The pure annihilation type decays $B^0\to D_s^{-}{K}_2^{\ast +}$ and $B_s\to \bar{D}{a}_2$ in perturbative QCD approach
• Determining weak phase gamma and probing new physics in b->s transitions from B->eta(eta')K
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Searching for the squark flavor mixing in CP violations of Bs -> K+ K- and K0bar K0 decays
• Non-factorizable contribtion to $\overline{B_d^0}\to {\pi }^0{D}^0$
• Transition to perturbative QCD in two-photon collisions
• Bd \to π^- K^{(*)+} and Bs \to π^+(ρ^+) K^- decays with QCD factorization and flavor symmetry
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• $B^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$: three-body final state interactions and $K\pi$ isospin states
• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• The two-body hadronic decays of $B_c$ meson in the perturbative QCD approach: A short review
• Model independent investigation of rare semileptonic b \to u l \barν_l decay processes
• New Physics in b --> s bar(s) s Decay
• Studying the localized $CP$ violation and the branching fraction of the ${\bar{B}}^0\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Family Non-universal $Z^{\prime }$ Effects on $B_{d,s}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ Decays in Perturbative QCD Approach
• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• On the Decay Modes $\overline{B_{d,s}^0}\to \gamma D^{\ast 0}$
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• The $\rho (770,1450)\to \omega \pi$ contributions for three-body decays $B\to {\bar{D}}^{(\ast )}\omega \pi$
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• New Physics contribution to $B\to K\pi$ decays in SCET
• Investigating $B_s$ three-body decays to scalar mesons in perturbative QCD approach
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• Phenomenological Application of $k_T$ factorization
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories
• Probing $D_{s0}^{\ast }(2317)$ in the decays of $B$ to two charmed mesons
• Comments on $\left|\frac{V_{ub}}{V_{cb}}\right|$ and $|V_{ub}|$ from Non-leptonic $B$ Decays within the Perturbative QCD Approach
• Perturbative QCD for B_s \to a_1(1260)(b_1(1235))P(V) Decays
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach
• Theory of CP Violation in the B-Meson System
• Puzzles in $B$ physics
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• Study of ${\bar{B}}^0\to D^0{\mu }^{+}{\mu }^{-}$ Decay in Perturbative QCD Approach
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• Rescattering effects in charmless anti-B_{u,d,s} to PP decays
• Hadronic B Decays: A General Approach
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$
• Analysis of B to J a1(1260)in pertubative QCD approach
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• CP violation of the two-body charmless hadronic B decays in the minimal supergravity Model
• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• Analysis of the decay $B^0\to {\chi }_{c1}{\pi }^0$ with light-cone QCD sum rules
• Study of Pure Annihilation Decays B_{d,s} \to D^{0} \bar D^{0}
• The B\to D_s^{(*)}η^{(\prime)} decays in the perturbative QCD
• Factorization, Effective Field Theory, and B-> D^(*) X Decays
• The B\to D_s^{(*)}πdecays in the perturbative QCD
• B\to K_1π(K) decays in the perturbative QCD approach
• Status and Prospects of CKM Phase Determinations
• W-exchange/Annihilation amplitudes in LCSR - $B_d^0\to D_s^{-}{K}^{+}$ as an example
• Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays
• Conference Summary (5th Int. Conf. on Hyperons, Charm, and Beauty Hadrons)
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• The semileptonic decays of $B/B_s$ meson in the perturbative QCD approach: A short review
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization
• Can contribution from magnetic-penguin operator with real photon to $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in the standard model be neglected?
• Extracting the Bs - anti-Bs mixing angle from B--> VV decays and comments on the puzzling B--> K* l+l- decay
• PQCD approach to exclusive B decays
• Annihilation Contributions and CP Asymmetries in $B^{+}\to {\pi }^{+}{K}^0,K^{+}{K}^0$ and $B^0\to K^0{\bar{K}}^0$
• Impact of B physics on model building and vice versa: an example
• Two-body modes of B mesons and the CP-b triangle
• Study of B^{0}_{s} \rightarrow \ TT(a_{2}(1320),K^{*}_{2}(1430),f_{2}(1270),f^{'}_{2}(1525)) in the perturbative QCD approach
• Semi-inclusive nonleptonic decays B\to D_s^{(*)} X
• New Physics Search in the Doubly Weak Decay ${\overline{B}}^0\to K^{+}{\pi }^{-}$
• Lectures on the Theory of Non-leptonic B Decays
• Hadronic decays of $B\to a_1(1260)b_1(1235)$ in the perturbative QCD approach
• P and CP violation in B physics
• Charmless Quasi-two-body $B$ Decays in Perturbative QCD Approach: Taking $B\to K(\mathcal{R}\to )K^{+}{K}^{-}$ As Examples
• Exclusive Charmless $B$ Decays in QCD
• On the color suppressed contribution to $\bar{B_{d}^0} \rightarrow \, π^0 π^{0}
• Supersymmetric contribution to B to rho K and B to pi K^* decays in SCET
• Model-Independent Analysis of CP Violation in Charmed Meson Decays
• Non-leptonic B-decays in and beyond QCD Factorisation
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• The ${\rm Y}(nS)$ $\to$ $B_c{D}_s$, $B_c{D}_d$ decays with perturbative QCD approach
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Non-leptonic B-decays at two loops in QCD Factorization
• Difficulties in Obtaining Weak Phases from $b\to d$ Penguin Decays
• Glauber gluons in annihilation amplitudes for heavy meson decays
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays
• Effects from Hadronic Structure of Photon on $B\to \varphi \gamma$ and $B_s\to ({\rho }^0,\omega )\gamma$ Decays
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the charmed three-body $B$ meson decays
• $B$ to light meson form factors with end-point cutoff
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• Analysis of $B\to a_1(1260)(b_1(1235))K^{\ast }$ decays in the perturbative QCD approach
• Phenomenological Applications of $k_T$-Factorization (--Large Direct CP-Asymmetry in B-meson Decays--)