Summary: | The branching fractions of the doubly Cabibbo-suppressed decays
$D^+\rightarrow K^-K^+K^+$, $D^+\rightarrow \pi^-\pi^+K^+$ and
$D^+_s\rightarrow\pi^-K^+K^+$ are measured using the decays $D^+\rightarrow
K^-\pi^+\pi^+$ and $D^+_s\rightarrow K^-K^+\pi^+$ as normalisation channels.
The measurements are performed using proton-proton collision data collected
with the LHCb detector at a centre-of-mass energy of 8 TeV, corresponding to an
integrated luminosity of 2.0 fb$^{-1}$. The results are
\begin{align}
\frac {\mathcal{B}(D^+\rightarrow K^-K^+K^+)} {\mathcal{B}(D^+\rightarrow
K^-\pi^+\pi^+)}& = (6.541 \pm 0.025 \pm 0.042) \times 10^{-4},\nonumber
\frac {\mathcal{B}(D^+\rightarrow \pi^-\pi^+K^+)} {\mathcal{B}(D^+\rightarrow
K^-\pi^+\pi^+)}& = (5.231 \pm 0.009 \pm 0.023) \times 10^{-3}, \nonumber
\frac {\mathcal{B}(D^+_s\rightarrow\pi^-K^+K^+)}
{\mathcal{B}(D^+_s\rightarrow K^-K^+\pi^+)}& = (2.372 \pm 0.024 \pm 0.025)
\times 10^{-3},\nonumber
\end{align} where the uncertainties are statistical and systematic,
respectively. These are the most precise measurements up to date.
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