Observation of $D^{+}\to K^{+}{\eta }^{(\prime )}$ and Search for CP Violation in $D^{+}\to {\pi }^{+}{\eta }^{(\prime )}$ Decays

Abstract

We report the first observation of the doubly Cabibbo-suppressed decays $D^{+}\to K^{+}{\eta }^{(\prime )}$ using a 791 fb${}^{-1}$ data sample collected with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. The ratio of the branching fractions of doubly Cabibbo-suppressed relative to singly Cabibbo-suppressed $D^{+}\to {\pi }^{+}{\eta }^{(\prime )}$ decays are $\mathcal{B}(D^{+}\to K^{+}\eta )/\mathcal{B}(D^{+}\to {\pi }^{+}\eta )$ = (3.06 $\pm$ 0.43 $\pm$ 0.14)% and $\mathcal{B}(D^{+}\to K^{+}{\eta }^{\prime })/\mathcal{B}(D^{+}\to {\pi }^{+}{\eta }^{\prime })$ = (3.77 $\pm$ 0.39 $\pm$ 0.10)%. From these, we find that the relative final-state phase difference between the tree and annihilation amplitudes in $D^{+}$ decays, ${\delta }_{TA}$, is (72 $\pm$ 9)${}^{\circ }$ or (288 $\pm$ 9)${}^{\circ }$. We also report the most precise measurements of CP asymmetries to date: $A_{CP}^{D^{+}\to {\pi }^{+}\eta }$ = (+1.74 $\pm$ 1.13 $\pm$ 0.19)% and $A_{CP}^{D^{+}\to {\pi }^{+}{\eta }^{\prime }}$ = ($-$0.12 $\pm$ 1.12 $\pm$ 0.17)%.

6 pages, 2 figures, 3 tables. Published in PRL

References in corpus (6)

• New Physics and CP Violation in Singly Cabibbo Suppressed D Decays
• Two-body hadronic charmed meson decays
• Charmed meson decays to two pseudoscalars
• Search for CP violation in the decays $D_{(s)}^{+}\to K_S^0{\pi }^{+}$ and $D_{(s)}^{+}\to K_S^0{K}^{+}$
• Search for CP Violation in the Decays $D^0\to K_S^0{P}^0$
• Measurement of $D^{+}\to K_S^0{K}^{+}$ and $D_s^{+}\to K_S^0{\pi }^{+}$ branching ratios

Cited by in corpus (11)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Branching ratios and direct CP asymmetries in $D\to PP$ decays
• Direct CP violation in two-body hadronic charmed meson decays
• SU(3) symmetry breaking and CP violation in D -> PP decays
• First Observation of Doubly Cabibbo-Suppressed Decay of a Charmed Baryon: ${\Lambda }_c^{+}\to p{K}^{+}{\pi }^{-}$
• Evidence for CP Violation in the Decay $D^{+}\to K_S^0{\pi }^{+}$
• Direct CP violation in beauty and charm hadron decays
• Measurements of absolute branching fractions for $D$ mesons decays into two pseudoscalar mesons
• Measurement of Branching Fractions of ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$, $\eta {\Sigma }^0{\pi }^{+}$, $\Lambda (1670){\pi }^{+}$, and $\eta \Sigma (1385{)}^{+}$
• Measurement of $CP$ asymmetries in $D^{\pm }\to {\eta }^{\prime }{\pi }^{\pm }$ and $D_s^{\pm }\to {\eta }^{\prime }{\pi }^{\pm }$ decays
• Recent advances in charm mixing and $CP$ violation at LHCb