Data-based analysis of the forward-backward asymmetry in B± → K±K∓K±

An analysis of the forward-backward asymmetry (FBA) in the decay B-+/- -> (KKK +/-)-K-+/--K--/+ is carried out based on the LHCb data. It is found that the large FBA observed for the invariant mass of the K+ K- pair around 1.5 GeV can be explained by the interference of the amplitudes between the resonances with even and odd spins, where the former can be the spin-0 f(0)(1500) resonance plus a nonresonance s wave, while the latter is a spin-1 resonance which is probably rho(0)(1450). This is in contradiction with the conclusion of former experimental analysis [e.g., BABAR, Phys. Rev. D 85, 112010 (2012)], according to which the analysis showed no signal of spin-odd resonances at all when the invariant mass of the K+ K- pair was around 1.5 GeV. According to the analysis of the current paper the existence of the spin-odd resonances such as rho(0)(1450) is inevitable for the explanation of the large FBA in this region. The analysis also shows that the CP asymmetry of the decay channel B-+/- -> rho(0)(1450)K-+/- is about (-3.4 +/- 3.0)%. We suggest our experimental colleagues perform a closer analysis of this channel. We also suggest to perform the measurements of the FBAs (as well as the forward-backward CP asymmetry) in other three body decay channels of beauty and charmed mesons, as this is helpful for resonance analysis.

Automated summary

An analysis of the forward-backward asymmetry (FBA) in the decay B-+/- -> (KKK +/-)-K-+/--K--/+ is carried out based on the LHCb data. It is found that the large FBA observed for the invariant mass of the K+ K- pair around 1.5 GeV can be explained by the interference of amplitudes between resonances with even and odd spins, contradicting previous experimental conclusions. The analysis also suggests the existence of a spin-odd resonance, rho(0)(1450), in this decay channel.