Weak phases from topological-amplitude parametrization

Abstract

We propose a parametrization for two-body nonleptonic $B$ meson decays, in which the various topologies of amplitudes are counted in terms of powers of the Wolfenstein parameter $\lambda \sim 0.22$. The weak phases and the amplitudes are determined by comparing this parametrization with available measurements. It is possible to obtain the phase ${\varphi }_3$ from the $B\to K\pi$ data up to theoretical uncertainty of $O({\lambda }^3)\sim 1$. The recently measured $B_d^0\to {\pi }^0{\pi }^0$ branching ratio implies a large color-suppressed or penguin amplitude, and that the extraction of the phase ${\varphi }_2$ from the $B\to \pi \pi$ data may suffer theoretical uncertainty more than the expected one of $O({\lambda }^2)\sim 5$.

11 pages, 4 figures

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Cited by in corpus (12)

• Resolution to the B -> pi K puzzle
• Polarizations in B -> VV decays
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Weak phases from the $B\to \pi \pi$, $K\pi$ decays
• Implication of the B -> rho rho data on the B -> pi pi puzzle
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• Effect of Z'-mediated flavor-changing neutral current on B decays into Pi Pi
• 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
• Puzzles in $B$ physics
• Model-independent Constraints on the Weak Phase $\alpha$ (or ${\varphi }_2$) and QCD Penguin Pollution in $B\to \pi \pi$ Decays
• Annihilation Contributions and CP Asymmetries in $B^{+}\to {\pi }^{+}{K}^0,K^{+}{K}^0$ and $B^0\to K^0{\bar{K}}^0$