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.

Published version

References in corpus (23)

• 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
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Updating B --> PP, VP decays in the framework of flavor symmetry
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Topological amplitudes in $D$ decays to two pseudoscalars: a global analysis with linear $SU(3{)}_F$ breaking
• 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
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Hard spectator interactions in B to pi pi at order alpha_s^2
• Exploring B_{d,s}-> KK decays through flavour symmetries and QCD-factorisation
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Weak annihilation and new physics in charmless $B\to MM$ decays
• B- -> pi- pi0/rho- rho0 to NNLO in QCD factorization
• Flavor symmetry and decays of charmed mesons to pairs of light pseudoscalars
• Direct CP violation in beauty and charm hadron decays
• Flavor symmetry analysis of charmless B --> VP decays
• 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