Data-based analysis of Forward-Backward Asymmetry in $B^{\pm }\to K^{\pm }{K}^{\mp }{K}^{\pm }$

Abstract

An analysis of the Forward-Backward Asymmetry (FBA) in the decay $B^{\pm }\to K^{\pm }{K}^{\mp }{K}^{\pm }$ 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 non-resonance $s$-wave, while the latter is a spin-1 resonance which is probably ${\rho }^0(1450)$. The analysis shows the existence of the decay channel $B^{\pm }\to {\rho }^0(1450)K^{\pm }$, with $CP$ asymmetry of $A_{CP}(B^{\pm }\to {\rho }^0(1450)K^{\pm })=(-3.4\pm 3.0)\%$. This is in contradiction with the conclusion of BaBar in Phys. Rev. D 85, 112010, according to which the analysis showed no signal of the spin-1 resonance ${\rho }^0(1450)$. We suggest our experimental colleagues to perform a closer analysis to this channel. We also suggest to perform the measurements of the FBAs (as well as the FB-$CP$As) in other three-body decay channels of beauty and charmed mesons, as it is helpful for resonance analysis.

14 pages, 5 figures, 3 tables

References in corpus (7)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Angular Distributions of B -> K ll Decays
• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Charmless Quasi-two-body $B$ Decays in Perturbative QCD Approach: Taking $B\to K(\mathcal{R}\to )K^{+}{K}^{-}$ As Examples

Cited by in corpus (1)

• Forward-backward asymmetry induced $CP$ asymmetry of $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$