Calculation of the branching ratio ofB−→hc+K−in perturbative QCD

Abstract

The branching ratio of B − → hc + K − is re-evaluated in the PQCD approach. In this theoretical framework all the phenomenological parameters in the wavefunctions and Sudakov factor are priori fixed by fitting other experimental data, and in the whole numerical computations we do not introduce any new parameter. Our results are consistent with the upper bounds set by the Babar and Belle measurements.

Evidence for B+→hcK+ and observation of ηc(2

“…obtained in the previous Belle analysis [4] and supersedes it. The resulting branching fraction BðB þ → h c K þ Þ agrees with the existing theoretical predictions [8][9][10]. In addition, a study of the ppπ þ π − invariant mass distribution in the channel B þ → ðppπ þ π − ÞK þ results in the first observation of the decay η c ð2SÞ → ppπ þ π − with 12.1σ significance.…”

“…A calculation using perturbative QCD was performed in Ref. [9]; the result is BðB þ → h c K þ Þ ¼ 3.6 × 10 −5 . Another calculation performed in Ref.…”

Recent Results on Charmonia- and Bottomonia-like Particles at Belle

“…After the experimental upper limit of B(B + → h c K + ) was set, some new theoretical predictions based on different approaches were made. In the QCD factorization approach, the branching fraction is calculated to be 2.7 × 10 −5 [12], while using perturbative QCD (pQCD) approach the result is B(B + → h c K + ) = 3.6 × 10 −5 [13]. Both values are slightly below the previous experimental upper limit.…”

Branching ratios and CP asymmetries of $$B\rightarrow \chi _{c1}K(\pi ) $$ B → χ c 1 K ( π ) decays

“…[30,31]. In general, the PQCD approach is suitable for describing various charmonium decays of B meson [32][33][34][35][36][37][38] and has a good predictive power. In our previous work [39], the PQCD approach had been applied to study the B → J/ψ V, ψ(2S)V decays with V encompasses ρ, ω, K * , φ and gave satisfactory results.…”