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

Abstract

We show that, in the heavy quark limit, the hadronic matrix elements that enter $B$ meson decays into two light mesons can be computed from first principles, including `non-factorizable' strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in $1/m_b$ and radiative corrections in ${\alpha }_s$ are neglected. We compute the order-${\alpha }_s$ corrections to the decays $B_d\to {\pi }^{+}{\pi }^{-}$, $B_d\to {\pi }^0{\pi }^0$ and $B^{+}\to {\pi }^{+}{\pi }^0$ in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.

6 pages, 1 figure

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• Infrared divergences of $B$ meson exclusive decays to P-wave charmonia in QCD factorization and nonrelativistic QCD
• Flavor dependence of annihilation parameters in QCD factorization
• The two-body B_c {\to} D^{(*)}_{(s)}P, D^{(*)}_{(s)}V decays in the Perturbative QCD Approach
• Model independent sum rules for B-> pi K decays
• Productions of $K_0^{\ast }(1430)$ and $K_1$ in B decays
• Charming penguin contributions to charmless B decays into two pseudoscalar mesons
• SU(3) Flavor Symmetry and CP Violating Rate Differences for Charmless $B\to PV$ Decays
• Resolving B-CP Puzzles in QCD Factorization
• QCD Factorization for $B\to \pi \pi \ell \nu$ Decays at Large Dipion Masses
• Hochschild homology, trace map and $\zeta$-cycles
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• On Differences Between SCET and QCDF for B->pi pi Decays
• Weak decays of $J/\psi$: the non-leptonic case
• Implications for CP asymmetries of improved data on $B\to K^0{\pi }^0$
• CP violation in $B\to \Phi K_S$ in a model III 2HDM
• Implications of a Low sin(2 beta): A Strategy for Exploring New Flavor Physics
• The Effects of Fourth Generation on the Total Branching Ratio and the Lepton Polarization in $Λ_b \rar Λ\ell^+ \ell^-$ decay
• Estimates of flavoured scalar production in B - decays
• A Comprehensive Analysis of Hadronic b->s Transitions in a Family Non-universal Z' Model
• Implications of the recent measurement of pure annihilation $B_s\to {\pi }^{+}{\pi }^{-}$ decays in QCD factorization
• Comment on studying the corrections to factorization in B -> D(*) X
• Annihilation-Type Charmless Radiative Decays of B Meson in Non-universal Z^\prime Model
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Testing the Non-universal Z^\prime Model in Bs -> ϕπ^0 Decay
• Searching for New Physics with B-Decay Fake Triple Products
• New Physics Effects and Hadronic Form Factor Uncertainties in B -> K^* l^+ l^-
• Flavour Theory: 2009
• $B^0\to \varphi \varphi$ Decay in Perturbative QCD Approach
• Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the second moment of the pion distribution amplitude
• Polarization, CP Asymmetry and Branching ratios in B \to K^* K^* with Perturbative QCD approach
• Width effects in resonant three-body decays: $B$ decay as an example
• Branching Fractions and CP Violation in $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$ and $B^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{-}$ Decays
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• Spontaneous breaking of the lepton number and invisible majoron in a 3-3-1 model
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• Exclusive B-> M ν\barν (M= π, K, ρ, K^*) Decays and Leptophobic Z^\prime Model
• B ->η_c K(η_c^\prime K) decays in QCD factorization
• Searching For New Physics With B to K pi Decays
• Higher order QCD corrections in exclusive charmless B decays
• Strong Couplings of Heavy Mesons to A Light Vector Meson in QCD
• Two-parton twist-3 factorization in perturbative QCD
• Light scalar mesons and charmless hadronic $B_c\to SP,SV$ decays in the perturbative QCD approach
• The $B\to K\pi$ Puzzle and Supersymmetric Models
• Reexamining $B\to \pi \pi ,\pi K$ Decays in QCD Factorization Approach
• QED factorization of non-leptonic $B$ decays
• Towards a Precision Determination of alpha in B \to pi pi Decays
• The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions
• A precise determination of $\alpha$ using $B^0\to {\rho }^{+}{\rho }^{-}$ and $B^{+}\to K^{\ast 0}{\rho }^{+}$
• B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Tree-Penguin Interference and Tests for $\cos \gamma <0$ in Rare $B\to PP$, $PV$ and $VV$ Decays
• $P$-wave contributions to $B\to \psi \pi \pi$ decays in perturbative QCD approach
• B physics constraints on a flavor symmetric scalar model to account for the ttbar asymmetry and Wjj excess at CDF
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Direct CP Violation in Hadronic B Decays
• Semileptonic $D_q\to K_1\ell \nu$ and nonleptonic $D\to K_1\pi$ decays in three--point QCD sum rules and factorization approach
• CP violating SUSY effects in Penguin dominated modes B -> PHI K and B -> PHI K*
• Charming New $B$-Physics
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Revisiting B\toπK, πK^{\ast} and ρK decays: CP violations and implication for New Physics
• Reparametrization invariance of B decay amplitudes and implications for new physics searches in B decays
• Improved Determination of the CKM Angle alpha from B to pi pi decays
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• Two-loop non-leptonic penguin amplitude in QCD factorization
• CP Violation in Three-body $B$ Decays: A Model Ansatz
• B meson decays to charmless meson pairs containing eta or eta' mesons
• Heavy exotic scalar meson $T_{bb;\bar{u}\bar{s}}^{-}$
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$-meson decays
• Bridging light-cone and NRQCD approaches: asymptotic behavior of $B_c$ electromagnetic form factor
• Perturbative QCD study of $B_s$ decays to a pseudoscalar meson and a tensor meson
• Exploring Final State Hadron Structure and SU(3) Flavor Symmetry Breaking Effects in D->PP and D->PV Decays
• The puzzles in $B\to \pi \pi$ and $\pi K$ decays: possible implications for R-parity violating supersymmetry
• Double Lepton Polarization in ${\Lambda }_b-->\Lambda l^{+}{l}^{-}$ Decay in the Standard Model with Fourth Generations Scenario
• Flavourful hadronic physics
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• B meson wave function from the $B\to \gamma l\nu$ decay
• Nonfactorizable contributions to the decay mode D^0 -> K^0 \bar{K^0}
• A New Method for Determining gamma from B-> pi pi Decays
• $K_S^0-K_L^0$ asymmetries in $D$-meson decays
• Flavor Physics and CP Violation
• Nonleptonic Weak Decays of B to D_s and D mesons
• New physics in $B\to \pi \pi$ and $B\to \pi K$ decays
• Graphical amplitudes from SCET
• Helicity conservation in inclusive nonleptonic decay B to VX: Test of long-distance final state interaction
• Gluonic Penguins in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Semileptonic and nonleptonic decays of the axial-vector tetraquark $T_{bb;\overline{u}\overline{d}}^{-}$
• Recent Measurements of CP Asymmetries of B \to ϕK^0 and B \to η' K_S at B-factories Suggest New CP Violation in Left-Handed Squark Mixing
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• Revisiting the Annihilation Corrections in Non-leptonic ${\bar{B}}_s^0$ Decays within QCD Factorization
• Decays of $B$, $B_s$ and $B_c$ to $D$-wave heavy-light mesons
• Studies of the resonance components in the $B_s$ decays into charmonia plus kaon pair
• Charmless hadronic decays $B\to PP,PV,VV$ and new physics effects in the general two-Higgs doublet models
• Constraints on the anomalous tensor operators from B\toϕK^{\ast}, ηK^{\ast}$ and ηK decays
• Hadronic three-body D decays mediated by scalar resonances
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• Measuring gamma in B -> K pi pi Decays
• A family of double-beauty tetraquarks: Axial-vector state $T_{bb;\bar{u}\bar{s}}^{-}$
• Universality of nonperturbative QCD effects in radiative B-decays
• Flavor and CP violating Z exchange and the rate asymmetry in B --> phi K_S
• Non leptonic B decays to axial-vector mesons and factorization
• B \to K_0^*(1430) η^{(\prime)} decays in the pQCD approach
• Constraining R-parity violating couplings from B --> PP decays using QCD improved factorization method
• Weak decays of ${\bar{B}}_s$ mesons
• Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays
• CP Asymmetries of $B\to \varphi K$ and $B\to {\eta }^{(\prime )}K$ Decays Using a Global Fit in QCD Factorization
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Light-cone distribution amplitudes of heavy mesons with QED effects
• Leptonic decay of Heavy-light Mesons in a QCD Potential Model
• Waiting for the Discovery of B^0_d -> K^0 \bar K^0
• Decay properties of $P_c$ states through the Fierz rearrangement
• Reducing the Error on alpha in B-> pi pi, rho rho, rho pi
• Branching Ratio and CP Asymmetry of $B_s\to \rho (\omega )K$ Decays in the Perturbative QCD Approach
• Double-heavy axial-vector tetraquark $T_{bc;\bar{u}\bar{d}}^0$
• Factorization and polarization in two charmed-meson B decays
• Constraints on hard spectator scattering and annihilation corrections in $B_{u,d}$ $\to$ $PV$ decays within QCD factorization
• Evolution equation for the higher-twist B-meson distribution amplitude
• Higher-Order Corrections to QCD Factorization in B->pi K,pi pi Decays
• $B^0\to \omega {\eta }^{(\prime )}$ and $\varphi {\eta }^{(\prime )}$ decays in the perturbative QCD approach
• Strong phases, asymmetries, and SU(3) symmetry breaking in D --> K pi decays
• Role of electromagnetic dipole operator in the electroweak penguin dominated vector meson decays of $B$ meson
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Light-cone distribution amplitudes of light mesons with QED effects
• Global Analysis of hadronic two-body B decays in the perturbative QCD approach
• Revisiting the B {\to} π ρ, π ω Decays in the Perturbative QCD Approach Beyond the Leading Order
• NLO QCD Corrections to $B_c$-to-Charmonium Form Factors
• On Regge kinematics in SCET
• Revisiting the annihilation decay ${\bar{B}}_s\to {\pi }^{+}{\pi }^{-}$
• B_s \to ρ(ω) K^* with Perturbative QCD approach
• Possible complex annihilation and B -> K pi direct CP asymmetry
• B^0 -> phi K_S in SUGRA models with CP violations
• Testing factorization in B -> D(*)X decays
• Implications of the measurements of B_s - B_s bar mixing on SUSY models
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• $O({\alpha }_s)$ corrections to $J/\psi +{\chi }_{cJ}$ production at $B$ factories
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Stable scalar tetraquark $T_{bb;\bar{u}\bar{d}}^{-}$
• Direct CP violation for ${\bar{B}}_s^0\to K^0{\pi }^{+}{\pi }^{-}$ decay in QCD factorization
• $S$, $P$ and $D$-wave resonance contributions to $B_{(s)}\to {\eta }_c(1S,2S)K\pi$ decays in the perturbative QCD approach
• $B \to (\jpsi,η_c) K$ decays in the perturbative QCD approach
• Future prospects of B physics
• Annihilation Type Radiative Decays of $B$ Meson in Perturbative QCD Approach
• $B_s-{\bar{B}}_s$ Mixing and Its Implication for $b\to s$ Transitions in Supersymmetry
• $B \to π^+ π^-, K π, K \etap$ decays and new physics effects in the general two-Higgs-doublet model: an update
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• Experimental Results on Heavy Quarks
• Branching Ratio and CP Asymmetry of $B_s\to {\pi }^0{\eta }^{(\prime )}$ Decays in the perturbative QCD Approach
• Two-loop master integrals for non-leptonic heavy-to-heavy decays
• Study of ${\rm Y}(nS)$ $\to$ $B_{c}P$ decays with perturbative QCD approach
• New Strategy to Explore CP Violation with $B_s^0\to K^{-}{K}^{+}$
• Suppressed $B\to PV$ CP asymmetry: CPT constraint
• Charmless $B\to PP$ decays and the new physics effects in the minimal supergravity model
• Study of $B_s\to \pi \rho$ decays in the perturbative QCD approach
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Transverse Momentum Dependent Factorization for Radiative Leptonic Decay of B-Meson
• Direct CP Violation, Branching Ratios and Form Factors $B\to \pi$, $B\to K$ in $B$ Decays
• Heavy Quarks on the Lattice
• Charmless hadronic $B_c\to VA,AA$ decays in the perturbative QCD approach
• Branching Ratios and CP Asymmetries of B \to a_1(1260) πand a_1(1260) K Decays
• The Effects of a Family Non-universal Z' Boson in the \bar{B}_s->πK, πK*, ρK Decays and B_d-\bar{B_d} mixing
• On Charmless $B\to K_h{\eta }^{{(}^{\prime })}$ Decays with $K_h=K,K^{\ast },K_0^{\ast }(1430),K_2^{\ast }(1430)$
• Bd^0(t)->pi^+pi^- and Bs^0(t)-> K^+ K^- Decays: A Tool to Measure New-Physics Parameters
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space
• A gluonic mechanism for B --> D eta'
• Implications of Family Nonuniversal $Z^{\prime }$ Model on B -->K_0^* pi Decays
• Recent Theoretical Developments in CP Violation in the B System
• Hadronic D and D_s Meson Decays
• The $B_s\to K$ Form Factor in The Whole Kinematically Accessible Range
• The decay of ${\Lambda }_b\to p{K}^{-}$ in QCD factorization approach
• Hadronic B decays in the MSSM with large tan(beta)
• Structure-Dependent QED Effects in Exclusive B Decays at Subleading Power
• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Spectator interactions in B -> V gamma decays and QCD factorisation
• Nonleptonic charmless decays of $B_c\to TP,TV$ in the perturbative QCD approach
• Revisiting B->phi pi Decays in the Standard Model
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Semileptonic decays of the scalar tetraquark $Z_{bc;\overline{u}\overline{d}}^0$
• Conceptual aspects of QCD factorization in hadronic B decays
• Charm Penguin in $B^{\pm }\to K^{\pm }{K}^{+}{K}^{-}$: partonic and hadronic loops
• Hadronic B decays
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• The Rare Radiative Annihilation Decays ${\bar{B}}_{s,d}^0\to J/\psi \gamma$
• ${\bar{B}}_s^0\to K\pi ,KK$ decays and effects of the next-to-leading order contribution
• $B\to K{K}^{\ast }$ Decays in the Perturbative QCD Approach
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• 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}
• Measuring beta_s with Bs -> K0(*) K0bar(*) -- a Reappraisal
• Present and Future CP Measurements
• Solving the SUSY CP problem with flavor breaking F-terms
• b to d d s bar transition and constraints on new physics in B^- decays
• Searches for B0 decays to eta K0, eta eta, eta' eta', eta phi, and eta' phi
• QCD aspects of exclusive B meson decays
• Systematic Study on QCD Interactions of Heavy Mesons with $\rho$ Meson
• Testing the Standard Model with Bs-> K^+ K^- Decays
• Exclusive Radiative Decays of B Mesons in QCD Factorization
• ${\bar{B}}_{d,s}\to D_{d,s}^{\ast }V$ and ${\bar{B}}_{d,s}^{\ast }\to D_{d,s}V$ decays within QCD Factorization and Possible Puzzles
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Annihilation type rare radiative $B_{(s)}\to V\gamma$ decays
• Exclusive Radiative Z-Boson Decays to Mesons with Flavor-Singlet Components
• Probing Spectator Scattering and Annihilation Corrections in $B_s$ $\to$ $PV$ Decays
• Exclusive non-leptonic B meson decays from QCD
• Reexamining charmless B\to PV decays in QCD factorization approach
• B\to πϕin SM and MSSM
• The rare ${\bar{B}}_d^0\to \varphi \gamma$ decays in Standard Model and as a probe of R-parity violation
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• Testing the dynamics of B -> ππand constraints on α
• Transverse Momentum Dependent Light-Cone Wave Function of B-Meson and Relation to the Momentum Integrated One
• Measurements of Branching Fractions and CP-Violating Asymmetries in B Meson Decays to Charmless Two-Body States Containing a K0
• Search for $B^0\to {\pi }^0{\pi }^0$ Decay
• Baryonic D Decay $D_s^{+}\to p\bar{n}$ and Its Implication
• Implications of new data in charmless B decays
• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• Exclusive $B\to (K^{\ast },\rho )\gamma$ decays in the general two-Higgs-doublet models
• Analysis of Supersymmetric Effects on B -> phi K Decays in the PQCD Approach
• Revisiting $K\pi$ puzzle in the pQCD factorization approach
• Weak phases from topological-amplitude parametrization
• On the Colour Suppressed Decay Modes B^0 --> D_s^+ D_s^- and B_s^0 --> D^+ D^-
• Branching ratio and CP violation of $B_c\to DK$ decays in the perturbative QCD approach
• Flavor Physics at the CEPC: a General Perspective
• $P$-wave contributions to $B_{(s)}\to \psi K\pi$ decays in perturbative QCD approach
• Asymptotics of QCD Factorization in Exclusive Hadronic Decays of B Mesons
• B -> K pi Puzzle and New Sources of CP Violation in Supersymmetry
• Non-leptonic decays of Charmed mesons into two Pseudoscalars
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Study of $B_c$$\to$$J/\psi V$ and $B_c^{\ast }$$\to$${\eta }_{c}V$ decays within the QCD factorization
• Study of ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V(V=D_{d,s}^{\ast -},K^{\ast -},{\rho }^{-})$ weak decays
• Inverse moment of the $B$-meson quasi distribution amplitude
• Searching for tetraquark through weak decays of b-baryons
• Charmonium decays of beauty baryons in the perturbative QCD approach
• $B\to {\chi }_{c0,2}K$ decays: a model estimation
• Power corrections to quasi-distribution amplitudes of a heavy meson
• New-Physics scenarios in $\Delta S=2$ decays of the B_c meson
• Supersymmetric Effects on Isospin Symmetry Breaking and Direct CP Violation in $B\to \rho \gamma$
• Searches for B0 Decays to Combinations of Charmless Isoscalar Mesons
• Fits of Weak Annihilation and Hard Spectator Scattering Corrections in $B_{u,d}\to VV$ Decays
• Constraints on SUSY Gluonic Dipole Interaction from B\to KπDecays
• NLO contributions to $B\to K{K}^{\ast }$ Decays in the pQCD approach
• Supersymmetry beyond minimal flavour violation
• Systematic Error on Weak Phase $\gamma$ from $B\to {\pi }^{+}{\pi }^{-}$ and $B\to K\pi$
• Direct CP Violation in Untagged B-Meson Decays
• Study of the $K_1(1270)-K_1(1400)$ mixing in the decays $B\to J/\Psi K_1(1270),J/\Psi K_1(1400)$
• $B\to a_1(1260)a_1(1260)$ and $b_1(1235)b_1(1235)$ decays in the perturbative QCD approach
• Model Independent Bound on the Unitarity Triangle from CP Violation in B-> pi+ pi- and B-> psi K_S
• Order alpha_s^2 magnetic penguin correction for B decay to light mesons
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay
• The PQCD approach towards to next-to-leading order: a short review
• Studying of B_s^0-\bar{B}_s^0 mixing and B_{s}\to K^{(*)-}K^{(*)+} decays within supersymmetry
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Branching Fractions and Direct CP Asymmetries of ${\bar{B}}_s^0\to K^0{h}^{+}{h}^{\prime -}(h^{(\prime )}=K,\pi )$ Decays
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons Including the Soft Photon Region
• Study of $B\to K_0^{\ast }(1430)K^{(\ast )}$ decays in QCD Factorization Approach
• $Z\to {\pi }^{+}{\pi }^{-},K^{+}{K}^{-}$: A touchstone of the PQCD approach
• Constraint on rho-bar, eta-bar from B to K*pi
• R-Parity violation in B --> pi+ pi- decay
• $B_c$ $\to$ $BP$, $BV$ decays with the QCD factorization approach
• Physics Opportunities at a Photon-Photon Collider
• P-wave Quarkonium Decays to Meson Pairs
• A factorization theorem connecting the light-cone distribution amplitudes of heavy-flavor mesons in QCD and HQET
• Heavy quark expansion for heavy-light light-cone operators
• ${\rm Y}(1S)$ $\to$ $B_c\pi$, $B_{c}K$ decays with perturbative QCD approach
• Information on $B\to \pi \pi$ Provided by the Semileptonic Process $B\to \pi l\nu$
• Charmless $B\to PP,PV,VV$ Decays Based on the six-quark Effective Hamiltonian with Strong Phase Effects
• Vacuum Insertion Approximation and the $\Delta I=1/2$ rule:a lattice QCD test of the naïve factorization hypothesis for $K$, $D$, $B$ and static mesons
• Electroweak Model Independent Tests for SU(3) Symmetry in Hadronic B Decays
• Systematic analysis of the form factors of $B_c\to {\eta }_c$, $J/\psi$ and corresponding weak decays
• Pion and Kaon form factors in the perturbative QCD approach
• Power corrections to the space-like transition form factor F_{η^{\prime}g^{*}g^{*}}(Q^2,ω)
• Large Strong Phases and CP Violation in the Annihilation Processes ${\bar{B}}^0\to K^{+}{K}^{-}$, $K^{\ast \pm }{K}^{\mp }$, $K^{\ast +}{K}^{\ast -}$
• From topological amplitude to rescattering dynamics
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• Study of $B_c^{\ast }$ $\to$ $\psi (1S,2S)P$, ${\eta }_c(1S,2S)P$ weak decays
• Weak Phase $\gamma$ and Strong Phase $\delta$ from CP Averaged $B\to \pi \pi$ and $\pi K$ Decays
• Factorization of radiative leptonic D-meson decay with sub-leading power corrections
• Physics at the Light-Front
• Asymmetries from the interference between Cabibbo-favored and doubly-Cabibbo-suppressed D decays
• Charmless Two-body $B(B_s)\to PP,VP$ decays In Soft-Collinear-Effective-Theory
• CP Asymmetries in B to f_0 K_S Decays
• Renormalon Analysis of Heavy-Light Exclusive B Decays
• B to D(*) pi- beyond naive factorization in the heavy quark limit
• Exclusive semileptonic and nonleptonic decays of B mesons to orbitally excited light mesons
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• Probing electroweak physics using B -> XM decays in the endpoint region
• Topological amplitudes of charmed baryon decays in the $SU(3{)}_F$ limit
• CP Asymmetries in B->K pi, K*pi, rho K Decays
• CP asymmetry in B \to phi K_S in a SUSY SO(10) GUT
• Helicity conservation and factorization-suppressed charmless B decays
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• U-Spin Tests of the Standard Model and New Physics
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Probing new physics in B -> phi pi decay
• Two- and three-body hadronic decays of charmed mesons involving a tensor meson
• High Energy Photon-Photon Collisions at a Linear Collider
• $CP$ violation induced by the double resonance for pure annihilation decay process in Perturbative QCD
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
• Study of Nonleptonic $B_{(s)}^{\ast }\to M_1{M}_2$ $(M=D$, $D_s$, $\pi$, $K)$ Weak Decays with Factorization Approach
• Test of factorisation in $B\to K\pi$ decays
• Predictions for b -> ssdbar, ddsbar decays in the SM and with new physics
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• The role of $D_{(s)}^{\ast }$ and their contributions in $B_{(s)}\to D_{(s)}h{h}^{\prime }$ decays
• Extrapolating SU(3) breaking effects from D to B decays
• The study of $B\to J/\Psi {\eta }^{(\prime )}$ decays and determination of $\eta -{\eta }^{\prime }$ mixing angle
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• 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
• Study of nonleptonic $B_q^{\ast }$ $\to$ $D_{q}V$ and $P_q{D}^{\ast }$ weak decays
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• A Possible Solution to the $B\to \pi \pi$ Puzzle Using the Principle of Maximum Conformality
• Light-Cone HQET Sum Rules for the B --> pi Transition with 1/m_Q Corrections
• The sensitivity of the zero position of the forward--backward asymmetry to new physics effects in the B -> K^\ast μ^+ μ^- decay
• $\psi (3770)$ and $B$ meson exclusive decay $B\to \psi (3770)K$ in QCD factorization
• B_s\to K^{(*)-}K^{(*)+}, K^{(*)-}π^{+}, K^{(*)-}ρ^{+} decays in R-parity violating supersymmetry
• Charmless Final State Interaction in B-> pi pi decays
• Transverse-Momentum Dependent Factorization for gamma^* pi^0 to gamma
• CP Violation in B -> pi+ pi- and the Unitarity Triangle
• Study of $CP$ Violations in $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ and $B^{-}\to K^{-}{f}_0(500)$ decays in the QCD factorization approach
• Nonfactorizable $B\to {\chi }_{c0}K$ decay and QCD factorization
• Obtaining CKM Phase Information from B Penguin Decays
• Role of final state interactions in the B meson decay into two pions
• The rare decays B --> K(*) anti-K(*) and R-parity violating supersymmetry
• Disentangling weak and strong interactions in $B\to K^{\ast }(\to K\pi )\pi$ Dalitz-plot analyses
• The perturbative QCD factorization of $\rho {\gamma }^{\star }\to \pi$
• Power Corrections in Charmless B Decays
• Probing heavy meson lightcone distribution amplitudes with heavy quark spin symmetry
• CP violation in the interference between $\rho (770{)}^0$ and $S$-wave in $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ decays and its implication for CP asymmetry in $B^{\pm }\to {\rho }^0{\pi }^{\pm }$
• The ${\rm Y}(1S)$ $\to$ $B_c\rho$ decay with perturbative QCD approach
• Contribution of vector resonances to the {\bar B}_d^0 -> {\bar K}^{*0} mu^+ mu^- decay
• Constraints on the CKM Angle gamma from B -> K*+- pi-+
• Final-state Polarization in Bs Decays
• Extracting alpha from B0(d) --> K0 anti-K0 Decays
• 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
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Semi-Inclusive B\to K(K^*) X Decays with Initial Bound State Effects
• $CP$ violation for $B_c^{+}\to D_{(s)}^{+}{\pi }^{+}{\pi }^{-}$ in Perturbative QCD
• Searching for New Physics in the rare decay B^+ \to D_s^+ ϕ
• Pseudoscalar and Scalar Operators of Higgs-Penguins in the MSSM and B to phi K^*, K eta(') Decays
• Sudakov effects in BBNS approach
• CP violation in beauty decays
• Completing NLO QCD Corrections for Tree Level Non-Leptonic Delta F = 1 Decays Beyond the Standard Model
• A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> ππ/ πK puzzles in R-parity violating supersymmetry
• The double charm decays of B Mesons in the mSUGRA model
• CP violation in non-leptonic $B_c$ decays to excited final states
• Model-independent information on gamma from B^+- -> pi K Decays
• Weak Decay Form Factors from QCD Sum Rules on the Light-Cone
• Semi-inclusive hadronic B decays in the endpoint region
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• Zooming into CP violation in $B_{(s)}\to hh$ Decays
• Generation of isospin sum rules in heavy hadron weak decays
• Analysis of $CP$ violation in $D^0\to K^{+}{K}^{-}{\pi }^0$
• Measurement of the branching fraction and $CP$ asymmetry of $B^0\to {\pi }^0{\pi }^0$ decays using $198\times 10^6$ $B\overline{B}$ pairs in Belle II data
• Structure-dependent QED effects in exclusive $B$-meson decays
• Collider-Flavour Complementarity from the bottom to the top
• Final-state Rescattering Effects on B_d-->ππDecays and CP Violation
• Exploring the Unitarity Triangle through CP violation observables in $B_s\to K^{+}{K}^{-}$
• Determinations of $|V_{cb}|$ and $|V_{ub}|$ from baryonic ${\Lambda }_b$ decays
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• Branching ratios of $B^{+}\to D^{(\ast )+}{K}^{(\ast )0}$ decays in perturbative QCD approach
• Rare B-Meson Decays at the Crossroads
• Studying of Bs --> K(*)-pi+, K(*)-rho+ decays within supersymmetry
• Study on ${\rm Y}(nS)$ $\to$ $B_{c}M$ decays
• Charming Penguins Saga
• Selected Topics in Heavy Flavour Physics
• Large non-factorizable contributions in $B\to a_0{a}_0$ decays
• Measurement of the branching fractions of $D_s^{+}\to {\eta }^{\prime }X$ and $D_s^{+}\to {\eta }^{\prime }{\rho }^{+}$ in $e^{+}{e}^{-}\to D_s^{+}{D}_s^{-}$
• Qualitative Signals of New Physics in B-Bbar Mixing
• Probing new physics in $B\to J/\Psi {\pi }^0$ decay
• Measuring $|V_{ub}|$ with B$\to D_s^{+}{X}_u$ transitions
• Search for new physics from $B\to \pi \varphi$
• Test of Factorization Hypothesis from Exclusive Non-leptonic B decays
• B -> phi K*, B -> phi Ks and New Physics
• Final State Interactions and Delta S=-1, Delta C=\pm 1 B--decays
• Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• $J/\psi$ $\to$ $D_{s,d}\pi$, $D_{s,d}K$ decays with perturbative QCD approach
• ${\rm Y}(nS)$ $\to$ $B_c^{\ast }D$ decays with perturbative QCD approach
• Study of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s^{\ast }$ decay with pQCD approach
• When Effective Field Theories Fail
• Non-factorizable contribtion to $\overline{B_d^0}\to {\pi }^0{D}^0$
• Phenomenology of B -> pi pi, pi K Decays at O(alpha^2 beta_0) in QCD Factorization
• Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach
• The decays $B\to \Psi (2S)\pi (K),{\eta }_c(2S)\pi (K)$ in the pQCD approach beyond the leading-order
• Bd \to π^- K^{(*)+} and Bs \to π^+(ρ^+) K^- decays with QCD factorization and flavor symmetry
• Soft Nonfactorizable Contribution to \bar{B}^0 \to D^0π^0
• CLEO measurement of $B\to {\pi }^{+}{\pi }^{-}$ and determination of weak phase $\alpha$
• $W$ radiative decay to heavy-light mesons in HQET factorization through $\mathcal{O}({\alpha }_s)$
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• QCD Factorization and CP Asymmetries in Hadronic B Decays
• SCET sum rules for heavy-to-light form factors
• Can the CKM phase be the only source of CP violation?
• ${\bar{B}}^0\to {\pi }^{+}X$ in the Standard Model
• Radiative B Decays: Standard Candles of Flavor Physics
• Searching for the squark flavor mixing in CP violations of Bs -> K+ K- and K0bar K0 decays
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• The effects of non-standard Z couplings on the lepton polarizations in B_s to γ\ell^+ \ell^- decays
• Analysis of the electromagnetic form factors and the radiative decays of the vector heavy-light mesons
• Topological diagram analysis of ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the $SU(3{)}_F$ limit and beyond
• Study of $B\to PP$ decays in the modified perturbative QCD approach
• What can we learn from a measurement of sin(2 beta + gamma)?
• On the Decay Modes $\overline{B_{d,s}^0}\to \gamma D^{\ast 0}$
• New Physics Search in Flavour Physics
• The Charm and Beauty of Strong Interactions
• Semileptonic and nonleptonic decays of $B_s$ mesons
• Direct CP violation in ${\bar{B}}^0\to {\rho }^0(\omega ){\rho }^0(\omega )\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$
• Study of $J/\psi$ $\to$ $D_{s,d}V$ decays with perturbative QCD approach
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Inclusive Decays of B Mesons into D_s and $D_s^{\ast }$ at $O({\alpha }_s)$ Including $D_s^{\ast }$ Polarization Effects
• Search for Lambda_b -> p pi and Lambda_b -> p K decays in p-pbar collisions at sqrt(s) = 1.96 TeV
• The two-body hadronic decays of $B_c$ meson in the perturbative QCD approach: A short review
• Double-mixing CP violation in $B$ decays
• Studies on the $B\to \kappa \bar{\kappa }$ decays in the perturbative QCD approach
• $B^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$: three-body final state interactions and $K\pi$ isospin states
• New Physics in b --> s bar(s) s Decay
• Semi-inclusive Decay $B\to \varphi X_s$: Rate and Momentum Spectrum of $\varphi$
• Comment on the X(3915) nonstandard hadron candidate
• Supersymmetric contributions to ${\bar{B}}_s\to \varphi {\pi }^0$ and ${\bar{B}}_s\to \varphi {\rho }^0$ decays in SCET
• New Physics contribution to $B\to K\pi$ decays in SCET
• A Consistent Scenario for B to PS Decays
• Pure annihilation decays of $B_s^0\to a_0^{+}{a}_0^{-}$ and $B_d^0\to K_0^{\ast +}{K}_0^{\ast -}$ in the PQCD approach
• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• $S$-wave contributions to the $B_{(s)}\to {\chi }_{c1}(\pi \pi ,K\pi ,KK)$ decays
• Family Non-universal $Z^{\prime }$ Effects on $B_{d,s}\to K^{\ast 0}{\overline{K}}^{\ast 0}$ Decays in Perturbative QCD Approach
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• QCD Approach to B->D πDecays and CP Violation
• Atmospheric Neutrino Mixing and b-s Transitions: Testing Lopsided SO(10) Flavor Structure in B physics
• Puzzles in $B$ physics
• Comments on $\left|\frac{V_{ub}}{V_{cb}}\right|$ and $|V_{ub}|$ from Non-leptonic $B$ Decays within the Perturbative QCD Approach
• Soft-collinear factorization in B decays
• Study on the ${\rm Y}(1S)$ $\to$ $B_{c}M$ weak decays
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• Topological amplitudes of bottom baryon decays in the $SU(3{)}_F$ limit
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Study the contributions of S, P, and D-wave resonances to the quasi-two-body decays $B_s^0\to \psi (3686,3770)K\pi$ in perturbative QCD approach
• Form Factors and Decay of ${\bar{B}}_s^0\to J/\psi \varphi$ From QCD Sum Rule
• Study of the quasi-two-body decays B^{0}_{s} \rightarrow ψ(3770)(ψ(3686))π^+π^- with perturbative QCD approach
• Soft-Collinear Factorization and Sudakov Resummation of Heavy Meson Decay Amplitudes with Effective Field Theories
• Testing QCD factorization with phase determinations in $B\to K\pi$,$K\rho$ and $K^{\ast }\pi$ decays
• Revisiting the $B^0\to {\pi }^0{\pi }^0$ decays in the perturbative QCD approach
• Hadronic B Decays: A General Approach
• Phenomenological Application of $k_T$ factorization
• $B\to K\pi$ Decays with $1/m_b$ Corrections in $QCD$ Factorization
• Final state phases in B -> Dπ, \bar{D}πdecays and CP-asymmetry
• Bounds on gamma from CP violation measurements in B -> pi+ pi- and B -> psi K_S
• Theory of CP Violation in the B-Meson System
• Selection rules in three-body B decay from factorization
• QCD Factorization Based on Six-Quark Operator Effective Hamiltonian from Perturbative QCD and Charmless Bottom Meson Decays $B_{(s)}\to \pi \pi ,\pi K,KK$
• Status and Prospects of CKM Phase Determinations
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• Waiting for Clear Signals of New Physics in B and K Decays
• Production of charged $\rho$ meson in bottom hadron charmed decays and the effect of the finite width correction of the $\rho$ meson
• Study of $B\to \rho \eta$, $\rho {\eta }^{\prime }$ decays in the modified perturbative QCD approach
• Theoretical analysis of direct $CP$ violation and differential decay width in $D^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ in phase space around the resonances ${\rho }^0(770)$ and $f_0(500)$
• Pure Annihilation Type $B\to K_0^{\ast \pm }(1430)K^{(\ast )\mp }$ Decays in the Family Non-universal $Z^{\prime }$ Model
• Future Perspectives in Lattice Field Theory
• Radiative leptonic decays on the lattice
• Next-to-leading Order Calculations of the Radiative and Semileptonic Rare B Decays in the Standard Model and Comparison with Data
• Next-to-Leading-logarithm threshold resummation for exclusive $B$ meson decays
• Efficient lattice QCD computation of radiative-leptonic-decay form factors at multiple positive and negative photon virtualities
• The B-CP Puzzles in QCD Factorization
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays
• Semileptonic $W$ Decay to the $B$ Meson with Lepton Pairs in Heavy Quark Effective Theory Factorization upto $\mathcal{O}$$({\alpha }_s)$
• Invisible and Semi-invisible Decays of Bottom Baryons
• $B_c\to {\eta }_c$ form factors at large recoil: Interplay of soft-quark and soft-gluon dynamics
• Towards a Global Analysis of the $b\to c\bar{u}q$ Puzzle
• W-exchange/Annihilation amplitudes in LCSR - $B_d^0\to D_s^{-}{K}^{+}$ as an example
• Semileptonic and nonleptonic B decays to three charm quarks: B->J/psi (eta_c) D l nu and J/psi (eta_c) D pi
• Semi-inclusive hadronic B decays as null tests of the Standard Model
• Constraints on B--->pi,K transition form factors from exclusive semileptonic D-meson decays
• $B_s$ mesons: semileptonic and nonleptonic decays
• Charmless Non-Leptonic Multi-Body B decays
• Exclusive decays of χ_{bJ} and η_b into two charmed mesons
• CP violation of the two-body charmless hadronic B decays in the minimal supergravity Model
• Factorization, Effective Field Theory, and B-> D^(*) X Decays
• Implications of final state interactions in B-decays
• Study of Pure Annihilation Decays B_{d,s} \to D^{0} \bar D^{0}
• Heavy-to-light decays at large recoil: Systematic treatment of short- and long-distance QCD effects
• Semi-inclusive nonleptonic decays B\to D_s^{(*)} X
• $B\to D_s\pi$ and the tree amplitude in $B\to {\pi }^{+}{\pi }^{-}$
• Two-body modes of B mesons and the CP-b triangle
• Impact of B physics on model building and vice versa: an example
• PQCD approach to exclusive B decays
• P and CP violation in B physics
• Exploring CP Violation through B Decays
• Higher Twist Effects in Hadronic B Decays
• Direct CP Violation and Isospin Triangles of B->ππDecays
• Theory of hadronic B decays
• Light-cone sum rules for the heavy-to-light transition in the effective theory
• Exclusive Charmless $B$ Decays in QCD
• Precision Tests of Flavor and CP violation in B Decays
• Measuring sin 2βin Bs(t) -> phi K_s
• B -> pi pi decays
• Theoretical Interest in B-Meson Physics at the B factories, Tevatron and the LHC
• CP-Violation in B_{q} Decays and Final State Strong Phases
• Supersymmetric contribution to B to rho K and B to pi K^* decays in SCET
• The ${\rm Y}(nS)$ $\to$ $B_c^{\ast }\pi$, $B_c^{\ast }K$ decays with perturbative QCD approach
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization
• QED factorization of two-body non-leptonic and semi-leptonic $B$ to charm decays
• Study of the ${\rm Y}(1S)$ $\to$ $DP$ decays
• Hadronic decays of $B\to a_1(1260)b_1(1235)$ in the perturbative QCD approach
• On the color suppressed contribution to $\bar{B_{d}^0} \rightarrow \, π^0 π^{0}
• Instanton effects on the twist-three light-cone distribution amplitudes of pion and light scalar mesons above 1GeV
• Applications of QCD
• Non-factorization contributions in $D\to \pi K,KK$ decay
• Improvements to the Method of Dispersion Relations for B Nonleptonic Decays
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• b to s transitions: where to look for SUSY
• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• Determination of $B$-meson distribution amplitudes from $B\to \pi ,K,D$ transition form factors
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit
• An analysis of B meson decays to two light pseudoscalar nonets with deltaS=1 in QCD factorization approach
• Glauber gluons in annihilation amplitudes for heavy meson decays
• Intrinsic Charm in B-Meson Decays
• Non-leptonic B-decays at two loops in QCD Factorization
• QCD factorization for ${\Lambda }_b^0\to {\Lambda }_c^{+}{\pi }^{-}$
• Recent Development of QCD Factorization for B-> M1 M2
• New physics search in the LHCb era
• Difficulties in Obtaining Weak Phases from $b\to d$ Penguin Decays
• The ${\rm Y}(nS)$ $\to$ $B_c{D}_s$, $B_c{D}_d$ decays with perturbative QCD approach
• T-odd Observables in Elastic Scattering, in Deep Inelastic Processes and in Weak Decays
• B decays into pion-pion-kaon and into kaon-antikaon-kaon: long distance and final-state effects
• Model-Independent Analysis of CP Violation in Charmed Meson Decays
• Non-leptonic B-decays in and beyond QCD Factorisation
• $B$ to light meson form factors with end-point cutoff
• B-> rho pi, rho rho, pi pi: hunting for alpha
• Exclusive Radiative Decays of B Mesons
• Heavy Flavours at Colliders
• SUSY beyond minimal flavour violation
• Inelastic final-state interaction
• New Source of CP violation in B physics ?
• Radiative Corrections to Radiative B Decays: Exclusive B -> V gamma at NLO
• A Brief Account of $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay in Soft-Collinear Effective Theory
• Constraining New Physics in B-->pi+pi- with Reparametrization Invariance and QCD Factorization
• Charming penguin and direct CP-violation in charmless B decays
• Discrete ambiguities in the determination of the CP angles
• $B\to K\pi$ decays and the weak phase angle $\gamma$
• Heavy-to-light form factors: Symmetries at large recoil and calculation of alpha_s corrections
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Applications of QCD Factorization in Hadronic B Decays
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays
• $U$-spin sum rules for two-body decays of bottom baryons
• Worries and Hopes for SUSY in CKM Physics: The b to s Example
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach