Year: 2023
Type: article
Abstract: Motivated by the significant experimental progress in probing semileptonic decays $D\ensuremath{\rightarrow}{P}_{1}{P}_{2}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ $(\ensuremath{\ell}=\ensuremath{\mu},e)$, we analyze the branching ratios of the $D\ensuremath{\rightarrow}{P}_{1}{P}_{2}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays with the nonresonant, the light scalar meson resonant, and the vector meson resonant contributions in this work. We obtain the hadronic amplitude relations between different decay modes by the SU(3) flavor analysis, and then predict relevant branching ratios of the $D\ensuremath{\rightarrow}{P}_{1}{P}_{2}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays by the present experimental data with $2\ensuremath{\sigma}$ errors. Most of our predicted branching ratios are consistent with present experimental data within $2\ensuremath{\sigma}$ error bars, and others are consistent with the data within $3\ensuremath{\sigma}$ error bars. We find that the branching ratios of the nonresonant decays ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$, and ${D}_{s}^{+}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},\phantom{\rule{0ex}{0ex}}{K}^{0}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ are on the order of $\mathcal{O}({10}^{\ensuremath{-}3}--{10}^{\ensuremath{-}4})$. The vector meson resonant contributions are dominant in the ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$, and ${D}_{s}^{+}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},\phantom{\rule{0ex}{0ex}}{K}^{0}{\overline{K}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{K}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{K}^{0}{\ensuremath{\pi}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays. The nonresonant, the vector meson resonant, and the scalar resonant contributions are all important in the ${D}^{0}\ensuremath{\rightarrow}\ensuremath{\eta}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays. The ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{K}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ and ${D}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}{K}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},\ensuremath{\eta}{\ensuremath{\pi}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}},{\ensuremath{\eta}}^{\ensuremath{'}}{\ensuremath{\pi}}^{0}{\ensuremath{\ell}}^{+}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ decays only receive both the nonresonant and the scalar resonant contributions, and both contributions are important in their branching ratios. According to our predictions, many decay modes could be observed in the experiments like BESIII, LHCb, and Belle II, and some decay modes might be measured in these experiments in the near future.
Authors: Ru-Min Wang, Yi Qiao, Yi-Jie Zhang, Xiao-Dong Cheng, Yuan-Guo Xu
Institutions: Jiangxi Normal University, Xinyang Normal University
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Award: G962438946
OpenAlex ID: W4362543908