Virtual contributions from $D^{\ast}(2007)^0$ and $D^{\ast}(2010)^{\pm}$ in the $B\to Dπh$ decays

Abstract

We study the quasi-two-body decays B → D * h → Dπh with h = (π, K) in the perturbative QCD approach and focus on the virtual contributions from the off-shell D * (2007) 0 and D * (2010) ± in the four measured decays B0 →

Contributions of $K^*_0(1430)$ and $K^*_0(1950)$ in the three-body decays $B\to Kπh$

“…While in the quasi-two-body framework based on PQCD, one can easily introduce the nonperturbative subprocess K * 0 → Kπ into a time-like form factor in the distribution amplitudes of the Kπ pair. The quasi-two-body framework based on PQCD has been discussed in detail in [68] and has been adopted in some studies on the quasi-two-body B meson decay processes recently [117][118][119][120][121][122][123][124][125][126].…”

Contributions for the kaon pair from $ρ(770)$, $ω(782)$ and their excited states in the $B\to K\bar K h$ decays

“…[21]. In addition, the virtual contribution [22][23][24][25][26] for K + K − from the Breit-Wigner (BW) formula [27] tail of the resonance ρ(770) 0 which has been ignored by the experimental analysis was found to be the same order but larger than the contribution of ρ(1450) 0 → K + K − [20]. In this work, we shall systematically study the contributions for the kaon pair from the resonances ρ(770, 1450, 1700) and ω(782, 1420, 1650) in the B → K Kh decays within the perturbative QCD (PQCD) approach [28][29][30][31], where h is the bachelor state pion or kaon.…”