Is fx (1500) observed in the B → π(K)KK decays ρ0 (1450)?

We suggest that the uncertain state f(x) (1500) observed by Belle and BABAR more than a decade ago, which has been viewed as a single scalar or a combination of several even spin resonances, is the vector rho(0)(1450) reported recently by LHCb. Adopting the perturbative QCD approach, we determine the dikaon distribution amplitudes with the rho(0)(1450) resonance from the LHCb data for the quasi-two-body decays B-+/- -> pi(+/-)rho(0)(1450) -> pi(K+K-)-K-+/-. It is then shown that the B+ -> K+K+K- decay spectrum around the invariant mass M(K+K-) similar to 1.5 GeV measured by BABAR can be well described by the resonant contribution from rho(0)(1450). The broad structure in the B+-> (KKSKS)-K-divided by spectrum around the invariant mass 1.5 GeV of a KSKS pair, which rho(0)(1450) cannot decay into because of Bose-Einstein statistics, can be accounted for by a nonresonant S-wave contribution alone. The branching fractions and/or the direct CP asymmetries of the B-+/-->pi(+/-)rho(0)(1450) -> pi(K+K-)-K-+/-, B+ -> K+rho(0)(1450) -> K+K+K- and B-0 -> K-0 rho(0)(1450) -> (KK+K-)-K-0 modes are predicted, which can be tested at the ongoing LHCb and Belle-II experiments. We encourage experimental colleagues to scrutinize our postulation by analyzing relevant data with higher precision.

Automated summary

The study suggests that a previously uncertain state observed a decade ago might actually be a recently reported vector rho(0)(1450) particle. By applying perturbative QCD methods, the researchers were able to predict the decay modes and branching ratios of B mesons. The results can be tested in ongoing experiments at LHCb and Belle-II.