2026/04/30 by Jing Ou-Yang, Hui Zheng, Run-Hui Li +1
#hep-ph
We present a precise and systematic analysis of D → V V decays within the factorization-assisted topological-amplitude approach, where D denotes the set \D0, D+, D+s\ and V represents the vector mesons ρ, K^*, ω, and ϕ. Given the limited current experimental data, the factorization-assisted topological-amplitude approach serves as a available phenomenological framework for predicting charmed meson decays to both vector mesons. In this framework, incorporating flavor SU(3) symmetry breaking effects, we can express nonfactorizable contributions of different modes as a minimal set of universal parameters globally fitted to experimental data. Utilizing 36 experimental data points for D → VV decays, we precisely extract ten nonfactorizable parameters associated with the C and E topological diagrams with χ2/d.o.f.=8.43. We find that a large strong phase in the longitude E amplitude cause strong destructive interference with the C longitudinal component, yielding f_∥ >fL , contrary to the naive factorization predictions. Additionally, for modes processing exclusively by the E diagram, the amplitude hierarchy |S|<|D| leads to a D-wave branching fraction larger than that of the S-wave. This explains recent observations that contradict S-wave dominance predictions. The predicted branching fractions and polarizations for 28 decay modes are consistent with existing experimental data. Unobserved modes, especially those with branching fractions of order 10-3∼10-2, the D-wave dominated modes, and modes exhibiting f_∥ >fL , await measurement by BESIII, STCF, Belle II, and LHCb.