Effects from hadronic structure of photon on and decays* *Supported in part by the Open Project of Shaanxi Collaborative Innovation Center of Industrial Auxiliary Chemistry & Technology (XTKF-2020-01), the National Science Foundation of China (11705159, 11975195), the Natural Science Foundation of Shandong province (ZR2019JQ04, ZR2022ZD26, ZR2020MA093) and the Project of Shandong Province Higher Educational Science and Technology Program (2019KJJ007)

Abstract

Using the perturbative QCD approach, we studied the effects of the hadronic structure of photons on the pure annihilation rediative decays and . These decays have small branching fractions due to the power suppression by , which makes them very sensitive to next-leading power corrections. The quark components and the related two-particle distribution amplitudes of a final state photon are introduced. The branching fractions can be enhanced remarkably by factorizable and nonfactorizable emission diagrams. The branching fraction of increases by approximately 40 times, and those of and are on the order of . We also note that the ratio of branching fractions of and is very sensitive to the effects of the hadronic structure of photons. All these results can be tested in future.