Pure annihilation decays of Bs0 → a0+ a0− and Bd0 → ${K}_{0}^{* +}$ ${K}_{0}^{* -}$ in the PQCD approach

Yutong Chen(陈禹同),Zewen Jiang(蒋泽文),Xin Liu(刘新)

Table 4. Similar to table 3 but in S2 for the ${B}_{d}^{0}\to {K}_{0}^{* }{\left(1430\right)}^{+}{K}_{0}^{* }{\left(1430\right)}^{-}$ and ${B}_{s}^{0}\to {a}_{0}{\left(1450\right)}^{+}{a}_{0}{\left(1450\right)}^{-}$ decays.

Modes Tree diagrams(T3A) Penguin diagrams(T3A) Tree diagrams(T3G) Penguin diagrams(T3G) ${B}_{d}^{0}\to {K}_{0}^{* }{(1430)}^{+}{K}_{0}^{* }{(1430)}^{-}$ $\begin{array}{c}-1.081-{\rm{i}}\ 1.178\ \\ (0.129+{\rm{i}}\ 1.593)\end{array}$ $\begin{array}{c}-0.859+{\rm{i}}\ 1.365\ \\ (-1.574+{\rm{i}}\ 0.352)\end{array}$ $\begin{array}{c}-0.566+{\rm{i}}\ 0.658\ \\ (0.850-{\rm{i}}\ 0.171)\end{array}$ $\begin{array}{c}-1.079+{\rm{i}}\ 1.675\ \\ (-1.949+{\rm{i}}\ 0.415)\end{array}$ ${B}_{s}^{0}\to {a}_{0}{\left(1450\right)}^{+}{a}_{0}{\left(1450\right)}^{-}$ $\begin{array}{c}-0.328-{\rm{i}}\ 0.048\ \\ (0.229+{\rm{i}}\ 0.239)\end{array}$ $\begin{array}{c}5.364-{\rm{i}}\ 6.730\ \\ (5.364-{\rm{i}}\ 6.730)\end{array}$ $\begin{array}{c}-0.097+{\rm{i}}\ 0.188\ \\ (0.192-{\rm{i}}\ 0.088)\end{array}$ $\begin{array}{c}4.954-{\rm{i}}\ 6.998\ \\ (4.954-{\rm{i}}\ 6.998)\end{array}$