Precision measurement of the ${\cal B}(Υ(3S)\toτ^+τ^-)/{\cal B}(Υ(3S)\toμ^+μ^-)$ ratio

We report on a precision measurement of the ratio ${\cal R}_{τμ}^{Υ(3S)} = {\cal B}(Υ(3S)\toτ^+τ^-)/{\cal B}(Υ(3S)\toμ^+μ^-)$ using data collected with the BaBar detector at the SLAC PEP-II $e^+e^-$ collider. The measurement is based on a 28 fb$^{-1}$ data sample collected at a center-of-mass energy of 10.355 GeV corresponding to a sample of 122 million $Υ(3S)$ mesons. The ratio is measured to be ${\cal R}_{τμ}^{Υ(3S)} = 0.966 \pm 0.008_\mathrm{stat} \pm 0.014_\mathrm{syst}$ and is in agreement with the Standard Model prediction of 0.9948 within 2 standard deviations. The uncertainty in ${\cal R}_{τμ}^{Υ(3S)}$ is almost an order of magnitude smaller than the only previous measurement.

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