Analysis of the nonleptonic charmonium modes Bs0 →j /ψ f2′ (1525) and Bs0 →j /ψK+K-

Abstract

In this work, we present an analysis of the nonleptonic charmonium modes B 0 s → J / ψ f ′ 2 ( 1525 ) and B 0 s → J / ψ K + K − . Within the framework of the factorization approach and using the perturbative QCD for the evaluation of the relevant form factors, we find a branching fraction for the two-body channel of BR ( B 0 s → J / ψ f ′ 2 ( 1525 ) ) = ( 1.6 + 0.9 − 0.7 ) × 10 − 4 which is in agreement with the experimental values reported by the LHCb and Belle Collaborations. The associated polarization fractions to this vector-tensor mode are also presented. On the other hand, nonresonant and resonant contributions to the three-body decay B 0 s → J / ψ K + K − are carefully investigated. The dominant contributions of the resonances ϕ ( 1020 ) and f ′ 2 ( 1525 ) are properly taken into account. A detailed analysis of the K + K − invariant mass distributions and Dalitz plot are also performed. The overall result BR ( B 0 s → J / ψ K + K − ) = ( 9.3 + 1.3 − 1.1 ) × 10 − 4 is also in satisfactory agreement with the experimental information reported by LHCb and Belle.