Precision Measurements of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$

Abstract

Precision measurements of the semileptonic decays $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$ are performed with 7.33\,fb${}^{-1}$ of $e^{+}{e}^{-}$ collision data collected at center-of-mass energies between 4.128 and 4.226 GeV with the BESIII detector. The branching fractions obtained are $\mathcal{B}(D_s^{+}\to \eta e^{+}{\nu }_e)$ = $(2.255\pm 0.039_{\mathrm{stat}}\pm 0.051_{\mathrm{syst}})\%$ and $\mathcal{B}(D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e)$ = $(0.810\pm 0.038_{\mathrm{stat}}\pm 0.024_{\mathrm{syst}})\%$. Combining these results with the $\mathcal{B}(D^{+}\to \eta e^{+}{\nu }_e)$ and $\mathcal{B}(D^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e)$ obtained from previous BESIII measurements, the $\eta -{\eta }^{\prime }$ mixing angle in the quark flavor basis is determined to be ${\varphi }_{\mathrm{P}}=(40.0\pm 2.0_{\mathrm{stat}}\pm 0.6_{\mathrm{syst}}{)}^{\circ }$. Moreover, from the fits to the partial decay rates of $D_s^{+}\to \eta e^{+}{\nu }_e$ and $D_s^{+}\to {\eta }^{\prime }{e}^{+}{\nu }_e$, the products of the hadronic transition form factors $f_{+}^{{\eta }^{(\prime )}}(0)$ and the modulus of the $c\to s$ Cabibbo-Kobayashi-Maskawa matrix element $|V_{cs}|$ are determined by using different hadronic transition form factor parametrizations. Based on the two-parameter series expansion, the products $f_{+}^{\eta }(0)|V_{cs}|=0.4519\pm 0.0071_{\mathrm{stat}}\pm 0.0065_{\mathrm{syst}}$ and $f_{+}^{{\eta }^{\prime }}(0)|V_{cs}|=0.525\pm 0.024_{\mathrm{stat}}\pm 0.009_{\mathrm{syst}}$ are extracted. All results determined in this work supersede those measured in the previous BESIII analyses based on the 3.19 fb${}^{-1}$ subsample of data at 4.178 GeV.

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• Measurement of the absolute branching fractions for purely leptonic $D_s^{+}$ decays
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Cited by in corpus (8)

• Observation of $D_s^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$, Precision Test of Lepton Flavor Universality with $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$, and First Measurements of $D_s^{+}\to {\eta }^{(\prime )}{\mu }^{+}{\nu }_{\mu }$ Decay Dynamics
• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• Improved measurement of the semileptonic decay $D_s^{+}\to K^0{e}^{+}{\nu }_e$
• Measurement of the branching fraction of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Measurements of the branching fractions of semileptonic $D_s^{+}$ decays via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Contributions of $\rho (770,1450)\to \omega \pi$ for the Cabibbo-favored $D\to h\omega \pi$ decays
• Probing $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ semileptonic decay within LCSR under chiral heavy quark effective field theory
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays