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Observation of the leptonic decay $D^+ \to \tau^+ \nu_\tau$ · Around

2019

Observation of the leptonic decay $D^+ \to \tau^+ \nu_\tau$

BESIII Collaboration, Ablikim, M., Achasov, M. N. et al.

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We report the first observation of $D^+\to\tau^+\nu_\tau$ with a significance of $5.1\sigma$.

We measure ${\cal B}(D^+\to\tau^+\nu_\tau) = (1.20\pm0.24_{\text{stat.}}\pm0.12_{\text{syst.}})\times10^{-3}$.
Taking the world average ${\cal B}(D^+\to\mu^+\nu_\mu) = (3.74\pm0.17)\times10^{-4}$, we obtain $R_{\tau/\mu} =\Gamma(D^+\to\tau^+\nu_\tau)/\Gamma(D^+\to\mu^+\nu_\mu) = 3.21\pm0.64_{\text{stat.}}\pm0.43_{\text{syst.}}$, which is consistent with the Standard Model expectation of lepton flavor universality.
Using external inputs, our results give values for the $D^+$ decay constant $f_{D^+}$ and the CKM matrix element $|V_{cd}|$ that are consistent with, but less precise than, other determinations.

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