First search for the ηc2(1D) in B decays at Belle

The first dedicated search for the η$_{c2}$(1D) is carried out using the decays B$^{+}$→ η$_{c2}$(1D)K$^{+}$, B$^{0}$ → η$_{c2}$(1D)$ {K}_S^0 $, B$^{0}$→ η$_{c2}$(1D)π$^{−}$K$^{+}$, and B$^{+}$→ η$_{c2}$(1D)π$^{+} {K}_S^0 $ with η$_{c2}$(1D) → h$_{c}$γ. No significant signal is found. For the η$_{c2}$(1D) mass range between 3795 and 3845 MeV/c$^{2}$, the branching-fraction upper limits are determined to be ℬ(B$^{+}$→ η$_{c2}$(1D)K$^{+}$) × ℬ(η$_{c2}$(1D) → h$_{c}$γ) < 3.7 × 10$^{−5}$, ℬ(B$^{0}$→ η$_{c2}$(1D)K$^{0}$) × ℬ(η$_{c2}$(1D) → h$_{c}$γ) < 3.5 × 10$^{−5}$, ℬ(B$^{0}$→ η$_{c2}$(1D)π$^{−}$K$^{+}$) × ℬ(η$_{c2}$(1D) → h$_{c}$γ) < 1.0 × 10$^{−4}$, and ℬ(B$^{+}$→ η$_{c2}$(1D)π$^{+} {K}_S^0 $) × ℬ(η$_{c2}$(1D) → h$_{c}$γ) < 1.1 × 10$^{−4}$ at 90% C.L. The analysis is based on the 711 fb$^{−1}$ data sample collected on the ϒ(4S) resonance by the Belle detector, which operated at the KEKB asymmetric-energy e$^{+}$e$^{−}$ collider.[graphic not available: see fulltext]