Measurement of the Absolute Branching Fraction of $D_s^+ \to τ^+ ν_τ$ via $τ^+ \to e^+ ν_e \barν_τ$

Abstract

Using a dataset of 6.32 fb$^{-1}$ of $e^+ e^-$ annihilation data collected with the BESIII detector at center-of-mass energies between 4178 and 4226 MeV, we have measured the absolute branching fraction of the leptonic decay $D_s^+ \to τ^+ ν_τ$ via $τ^+ \to e^+ ν_e \barν_τ$, and find $\mathcal{B}_{D_s^+ \to τ^+ ν_τ}=(5.27\pm0.10\pm0.12)\times10^{-2}$, where the first uncertainty is statistical and the second is systematic. The precision is improved by a factor of 2 compared to the previous best measurement. Combining with $f_{D_s^+}$ from Lattice quantum chromodynamics calculations or the $|V_{cs}|$ from the CKMfitter group, we extract $|V_{cs}|=0.978\pm0.009\pm0.012$ and $f_{D_s^+}= (251.1\pm2.4\pm3.0)$ MeV, respectively. Combining our result with the world averages of $\mathcal{B}_{D_s^+ \to τ^+ ν_τ}$ and $\mathcal{B}_{D_s^+ \to μ^+ ν_μ}$, we obtain the ratio of the branching fractions $\mathcal{B}_{D_s^+ \to τ^+ ν_τ} / \mathcal{B}_{D_s^+ \to μ^+ ν_μ} = 9.72\pm0.37$, which is consistent with the standard model prediction of lepton flavor universality.

8 pages, 2 figures