Measurement of the branching fractions for Cabibbo-suppressed decays $D^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0$ and $D_{(s)}^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0$ at Belle

Abstract

We present measurements of the branching fractions for the singly Cabibbo-suppressed decays $D^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0$ and $D_s^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0$, and the doubly Cabibbo-suppressed decay $D^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0$, based on 980 ${\mathrm{fb}}^{-1}$ of data recorded by the Belle experiment at the KEKB $e^{+}{e}^{-}$ collider. We measure these modes relative to the Cabibbo-favored modes $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^0$ and $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0$. Our results for the ratios of branching fractions are $B(D^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0)/B(D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^0)=(11.32\pm 0.13\pm 0.26)\%$, $B(D^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0)/B(D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^0)=(1.68\pm 0.11\pm 0.03)\%$, and $B(D_s^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0)/B(D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0)=(17.13\pm 0.62\pm 0.51)\%$, where the uncertainties are statistical and systematic, respectively. The second value corresponds to $(5.83\pm 0.42)\times {\tan }^4{\theta }_C$, where ${\theta }_C$ is the Cabibbo angle; this value is larger than other measured ratios of branching fractions for a doubly Cabibbo-suppressed charm decay to a Cabibbo-favored decay. Multiplying these results by world average values for $B(D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^0)$ and $B(D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0)$ yields $B(D^{+}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^0)=(7.08\pm 0.08\pm 0.16\pm 0.20)\times 10^{-3}$, $B(D^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0)=(1.05\pm 0.07\pm 0.02\pm 0.03)\times 10^{-3}$, and $B(D_s^{+}\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^0)=(9.44\pm 0.34\pm 0.28\pm 0.32)\times 10^{-3}$, where the third uncertainty is due to the branching fraction of the normalization mode. The first two results are consistent with, but more precise than, the current world averages. The last result is the first measurement of this branching fraction.

arXiv comment8 pages, 6 figures, accepted by Phys. Rev. D

References in corpus (8)

• The Physics of the B Factories
• Observation of $CP$ violation in charm decays
• Electron Identification in Belle
• Two-body hadronic charmed meson decays
• Size of direct CP violation in singly Cabibbo-suppressed D decays
• Observation of the Doubly Cabibbo-Suppressed Decay $D^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$ and Evidence for $D^{+}\to K^{+}\omega$
• Amplitude analysis and branching fraction measurement of $D_s^{+}\to K^{-}{K}^{+}{\pi }^{+}{\pi }^0$
• Measurements of the absolute branching fractions of $D^{0(+)}\to K\bar{K}\pi \pi$ decays

Cited by in corpus (1)

• Search for $CP$ violation in $D_{(s)}^{+}\to K^{+}{K}_S^0{h}^{+}{h}^{-}$ $(h=K,\pi )$ decays and observation of the Cabibbo-suppressed decay $D_s^{+}\to K^{+}{K}^{-}{K}_S^0{\pi }^{+}$