Resonances ρ(1450)⁺ and ρ(1700)⁺ in B → DKKdecays *

Abstract

The contributions for kaon pair from the intermediate states $\rho(1450)^+$ and $\rho(1700)^+$ in the decays of $B^+ \to \bar{D}^0 K^+ \bar{K}^0$, $B^0 \to D^- K^+ \bar{K}^0$ and $B_s^0 \to D_s^-K^+ \bar{K}^0$ are analyzed within the perturbative QCD factorization approach. The decay amplitudes for all concerned decays in this work are dominated by the factorizable Feynman diagrams with the emission of the kaon pair, and the charged $\rho$ mesons should be of great importance in the $KK$ channel of the related three-body $B$ decays. Besides, these quasi-two-body decays are CKM-favored and the relevant branching ratios are predicted in the order of $10^{-5}$, which are potential to be measured by experiments. It is also shown that the contributions of the subprocesses $\rho(1450, 1700)^+ \to KK$ for the three-body $B$ meson decays are considerable according to the total three-body branching fractions presented by Belle. Therefore, the decays $B^+ \to \bar{D}^0 K^+ \bar{K}^0$, $B^0 \to D^- K^+ \bar{K}^0$ and $B_s^0 \to D_s^-K^+ \bar{K}^0$ can be employed to study the properties of $\rho(1450)$ and $\rho(1700)$ in the LHCb and Belle-II experiments.

Combined analysis of Belle and Belle II data to determine the CKM angle ϕ3 using B+ → D($$ {K}_S^0 $$h+h−)h+ decays

“…This analysis aims to better understand the intermediate states of the decays by investigating the m(K − K 0 S ) distribution. The description of the resonances in these decays is a topic of interest within the theory community [6][7][8].…”

Resonance contributions from $χ_{c0}$ in the charmless three-body hadronic $B$ meson decays

“…The method used in [43] have been adopted for other quasi-two-body B meson decays in the Refs. [47][48][49][50][51][52][53] in recent years. For the detailed discussions of the quasi-two-body framework based on the PQCD approach, we refer to the Refs.…”

Contributions of $K_0^*(1430)$ and $K_0^*(1950)$ in the charmed three-body $B$ meson decays

“…As well, the contributions from various intermediate resonant state for the three-body decays B → Dhh ′ have been investigated in Ref. [48][49][50][51][52][53].…”