S-wave contributions to in the perturbative QCD framework *

Abstract

Abstract is induced by the / transitions, which can interfere if a CP-eigenstate is formed. The interference contribution is sensitive to the CKM angle . In this work, we study the S-wave contributions to the process in the perturbative QCD factorization. In the factorization framework, we adopt two-meson light-cone distribution amplitudes, whose normalization is parametrized by the S-wave time-like two-pion form factor with resonance contributions from , . We find that the branching ratio of is of the order of , and that significant interference exists in . Future measurement could not only provide useful constraints on the CKM angle , but would also be helpful for exploring the multi-body decay mechanism of heavy mesons.