Abstract

In this paper, the contributions of weak annihilation and hard spectator scattering in , , , and decays are investigated within the framework of quantum chromodynamics factorization. Using the experimental data available, we perform analyses of end-point parameters in four cases based on the topology-dependent and polarization-dependent parameterization schemes. The fitted results indicate that: (i) in the topology-dependent scheme, the relation obtained through and PV decays is favored by the penguin-dominated decays at 95% CL; (ii) the large hard spectator scattering corrections and/or the simplification are challenged by , even though they are allowed by and PV decays and helpful for resolving the ‘ puzzle’; (iii) in the polarization-dependent scheme, the relation is always required. Moreover, we have updated the theoretical results for decays with the best-fit values of end-point parameters. A few observables, such as the ones of pure annihilation decay, are also identified for probing the annihilation corrections.

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