arxiv: 1608.06484 · v2 · submitted 2016-08-23 · ✦ hep-ex
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Measurements of the absolute branching fractions for D_{s}⁺rightarrowη e⁺ν_{e} and D_{s}⁺rightarrowη^{prime} e⁺ν_{e}
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By analyzing 482 pb$^{-1}$ of $e^+e^-$ collision data collected at $\sqrt s=4.009$ GeV with the BESIII detector at the BEPCII collider, we measure the absolute branching fractions for the semileptonic decays $D_{s}^{+}\to\eta e^{+}\nu_{e}$ and $D_{s}^{+}\to \eta'e^{+}\nu_{e}$ to be ${B}(D_{s}^{+}\rightarrow\eta e^{+}\nu_{e})=(2.30\pm0.31\pm0.08)$\% and ${B}(D_{s}^{+}\rightarrow\eta'e^{+} \nu_{e}) = (0.93\pm0.30\pm0.05)$\%, respectively, and their ratio $\frac{{B}(D_{s}^{+}\rightarrow\eta'e^{+}\nu_{e})} {{B}(D_{s}^{+}\rightarrow\eta e^{+}\nu_{e})}=0.40\pm0.14\pm0.02$, where the first uncertainties are statistical and the second ones are systematic. The results are in good agreement with previous measurements within uncertainties; they can be used to determine the $\eta-\eta'$ mixing angle and improve upon the $D_s^+$ semileptonic branching ratio precision.
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