Non-resonant contributions to three-body D → K (s) π ω decays

Recently, the BESIII collaboration has reported an improved measurement of the branching fraction for D 0 → K − π + ω decay, the first observations and branching fraction measurements for <?CDATA D⁰→ KS⁰π ⁰ω?> D 0 → K S 0 π 0 ω and <?CDATA D⁺→ KS⁰π ⁺ω?> D + → K S 0 π + ω decays with the values of (3.392 ± 0.044 stat ± 0.085 syst )%, (0.848 ± 0.046 stat ± 0.031 syst )%, and (0.707 ± 0.041 stat ± 0.029 syst )%, respectively. In this work, we have obtained the non-resonant amplitudes under the factorization approach. The calculated values for branch ratios are <?CDATA B (D⁰→ K⁻π ⁺ω )=(3.302± 0.195) %?> B ( D 0 → K − π + ω ) = ( 3.302 ± 0.195 ) % , <?CDATA B (D⁰→ KS⁰π ⁰ω )=(0.782± 0.067) %?> B ( D 0 → K S 0 π 0 ω ) = ( 0.782 ± 0.067 ) % , and <?CDATA B (D⁺→ KS⁰π ⁺ω )=(0.702± 0.111) %?> B ( D + → K S 0 π + ω ) = ( 0.702 ± 0.111 ) % which are in good agreement with reported experimental values.