Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays

Abstract

We estimate the potential size of the weak annihilation amplitudes in QCD factorization as allowed by experimental data. To achieve this goal, we establish a connection between the amplitudes in the QCD factorization and the so-called topological and $SU(3)$-invariant descriptions. Our approach is based purely on the analysis of the tensor structure of the decay amplitudes. By focusing on the processes $B\to PP$ and considering data from CP asymmetries and branching fractions, we perform a global fit to the $SU(3)$-irreducible quantities assuming minimal theoretical bias. Subsequently we translate the outcome to the QCD factorization decomposition, and find that the most constrained weak annihilation amplitudes are below $4\%$. However, in view of the large uncertainties in several of the experimental input parameters, values up to $30\%$ are allowed in certain cases.

arXiv commentPublished version

References in corpus (104)

• Weak Decays Beyond Leading Logarithms
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• QCD factorization for B->PP and B->PV decays
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• FLAG Review 2019
• Mixing and Decay Constants of Pseudoscalar Mesons
• Fat penguins and imaginary penguins in perturbative QCD
• The Belle II Physics Book
• Branching Ratio and CP Violation of B to pi pi Decays in Perturbative QCD Approach
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Final State Interactions in Hadronic B Decays
• The Physics of the B Factories
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Flavor-Singlet B-Decay Amplitudes in QCD Factorization
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Charming Penguins in B decays
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• Broken SU(3) Symmetry in Two-Body B Decays
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Standard-model prediction for direct CP violation in $K\to \pi \pi$ decay
• New Bound on gamma from B^+- -> pi K Decays
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Model-independent electroweak penguins in B decays to two pseudoscalars
• QCD Factorization for Charmless Hadronic B_s Decays Revisited
• |Delta F| = 1 Nonleptonic Effective Hamiltonian in a Simpler Scheme
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• Charming Penguins Strike Back
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• SU(3) Relations and the CP Asymmetries in B Decays to ${\eta }^{\prime }{K}_S$, $\varphi K_S$ and $K^{+}{K}^{-}{K}_S$
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Spectator scattering at NLO in non-leptonic B decays: Tree amplitudes
• SU(3) symmetry breaking and CP violation in D -> PP decays
• Revisiting Charmless Hadronic B_{u,d} Decays in QCD Factorization
• Effects of Final-state Interactions on Mixing-induced CP Violation in Penguin-dominated B Decays
• Non-Leptonic Two-Body B Decays Beyond Factorization
• SU(3) Sum Rules for Charm Decay
• Updating B --> PP, VP decays in the framework of flavor symmetry
• SU(3)-Flavor Anatomy of Non-Leptonic Charm Decays
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• A precise sum rule among four B -> Kpi CP asymmetries
• CP asymmetry Relations Between ${\bar{B}}^0\to \pi \pi$ and ${\bar{B}}^0\to \pi K$ Rates
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Two-loop current-current operator contribution to the non-leptonic QCD penguin amplitude
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• Repercussions of Flavour Symmetry Breaking on CP Violation in D-Meson Decays
• Branching ratios and direct CP asymmetries in $D\to PV$ decays
• On Puzzles and Non-Puzzles in B -> pi pi, pi K Decays
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• The B -> pi K Puzzle and its Relation to Rare B and K Decays
• NNLO vertex corrections in charmless hadronic B decays: Real part
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• The CP violating phase $\gamma$ from global fit of rare charmless hadronic B decays
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Is observed direct CP violation in $B_d\to K^{+}{\pi }^{-}$ due to new physics? Check standard model prediction of equal violation in $B_s\to K^{-}{\pi }^{+}$
• A global analysis of two-body D to VP decays within the framework of flavor symmetry
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Final-State Phases in Charmed Meson Two-Body Nonleptonic Decays
• Hard spectator interactions in B to pi pi at order alpha_s^2
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• A global $SU(3)/U(3)$ flavor symmetry analysis for $B\to PP$ with $\eta -{\eta }^{\prime }$ Mixing
• SU(3) Breaking in Charmless B Decays
• Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
• Flavor SU(3) Topological Diagram and Irreducible Representation Amplitudes for Heavy Meson Charmless Hadronic Decays: Mismatch and Equivalence
• Flavor SU(3) analysis of charmless B meson decays to two pseudoscalar mesons
• Charmless $B_{(s)}\to VV$ Decays in Factorization-Assisted Topological-Amplitude Approach
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Weak annihilation and new physics in charmless $B\to MM$ decays
• Flavor SU(3) symmetry and QCD factorization in $B\to PP$ and $PV$ decays
• $D^0$-${\overline{D}}^0$ mixing parameter $y$ in the factorization-assisted topological-amplitude approach
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• $B\to \eta ({\eta }^{\prime })K(\pi )$ in the Standard Model with Flavor Symmetry
• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• Searching for New Physics in Non-Leptonic B Decays
• Annihilation effects in $B\to \pi \pi$ from QCD Light-Cone Sum Rules
• Radiative corrections to hard spectator scattering in $B\to \pi \pi$ decays
• Direct CP violation in beauty and charm hadron decays
• Exploring $B\to \pi \pi ,\pi K$ Decays at the High-Precision Frontier
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• Towards New Frontiers with $B\to \pi K$ Decays
• U-Spin Symmetry in Doubly Cabibbo-Suppressed Charmed Meson Decays
• QED factorization of non-leptonic $B$ decays
• More Flavor SU(3) Tests for New Physics in CP Violating B Decays
• Two-loop non-leptonic penguin amplitude in QCD factorization
• General Analysis of U-Spin Breaking in B Decays
• Flavor symmetry analysis of charmless B --> VP decays
• Towards the Control over Electroweak Penguins in Nonleptonic B-Decays
• A self-consistent framework of topological amplitude and its $SU(N)$ decomposition
• New Strategy to Explore CP Violation with $B_s^0\to K^{-}{K}^{+}$
• Suppressed $B\to PV$ CP asymmetry: CPT constraint
• Examination of Flavor Symmetry in $B,B_s\to K\pi$ Decays
• Testing the dynamics of B -> ππand constraints on α
• Experimental Puzzles in Heavy Flavor Decays - Anomalously high ${\eta }^{\prime }$ appearance in charmless strange B decays - Flavor SU(3) breaking in Charm Decays
• Order alpha_s^2 magnetic penguin correction for B decay to light mesons
• Charming penguins in B -> PP decays and the extraction of gamma
• Hadronic B Decays: A General Approach