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Register a new userInconsistency of the data on the $K_1(1270) to pi K^*_0(1430)$ decay width
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We show, using the same Lagrangian for the $K_1(1270) to pi K^*_0(1430)$ and $K^*_0(1430) to K_1(1270) pi$ decays, that the present PDG data on the partial decay width of $K_1(1270) to pi K^*_0(1430)$ implies a width for $K^*_0(1430) to K_1(1270) pi$ decay which is about ten times larger than the total $K^*_0(1430)$ width. A discussion on this inconsistency is done, stressing its relationship to the existence of two $K_1(1270)$ states obtained with the chiral unitary theory, which are not considered in the experimental analyses of $Kpipi$ data.
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We analyze theoretically the $D^+to u e^+ rho bar K$ and $D^+to u e^+ bar K^* pi$ decays to see the feasibility to check the double pole nature of the axial-vector resonance $K_1(1270)$ predicted by the unitary extensions of chiral perturbation theory (UChPT). Indeed, within UChPT the $K_1(1270)$ is dynamically generated from the interaction of a vector and a pseudoscalar meson, and two poles are obtained for the quantum numbers of this resonance. The lower mass pole couples dominantly to $K^*pi$ and the higher mass pole to $rho K$, therefore we can expect that different reactions weighing differently these channels in the production mechanisms enhance one or the other pole. We show that the different final $VP$ channels in $D^+to u e^+ V P$ weigh differently both poles, and this is reflected in the shape of the final vector-pseudoscalar invariant mass distributions. Therefore, we conclude that these decays are suitable to distinguish experimentally the predicted double pole of the $K_1(1270)$ resonance.
By looking at the pseudoscalar-vector meson spectra in the $bar{B}to J/psi rhobar{K}$ and $bar{B}to J/psi bar{K}^*pi$ weak decays, we theoretically investigate the double-pole structure of the $K_1(1270)$ resonance by using the Chiral Unitary approach to account for the final state interactions between the pseudoscalar and vector mesons. The $K_1(1270)$ resonance appears as dynamically generated through these interactions in coupled channels and influence the shape of the invariant mass distributions under consideration. We show how those shapes are affected by the $K_1(1270)$ double-pole structure to confront the results from our model with future experiments that might investigate the $PV$ spectra in these decays.
Recently the radiative B decay to the strange axial-vector mesons, B --> K1(1270) gamma, has been observed with rather large branching ratio. This process is particularly interesting as the subsequent K1 decay into its three body final state allows us to determine the polarization of the photon, which is mostly left- (right-)handed for Bbar (B) in the SM while various new physics models predict additional right- (left-)handed components. A new method is proposed to determine the polarization, exploiting the full Dalitz plot distribution, which seems to reduce significantly the statistical errors. This polarization measurement requires however a detailed knowledge of the K1--> K pi pi strong interaction decays, namely, the various partial wave amplitudes into the several possible quasi two-body channels, as well as their relative phases. The pattern of partial waves is especially complex for the K1(1270). We attempt to obtain the information through the combination of an experimental input and a theoretical one, provided by the 3P0 quark-pair-creation model.
Measurements of the differential branching fraction and angular moments of the decay $B^0 to K^+ pi^- mu^+ mu^-$ in the $K^+pi^-$ invariant mass range $1330<m(K^+ pi^-)<1530~MeV/c^2$ are presented. Proton-proton collision data are used, corresponding to an integrated luminosity of 3 $fb^{-1}$ collected by the LHCb experiment. Differential branching fraction measurements are reported in five bins of the invariant mass squared of the dimuon system, $q^2$, between 0.1 and 8.0 $GeV^2/c^4$. For the first time, an angular analysis sensitive to the S-, P- and D-wave contributions of this rare decay is performed. The set of 40 normalised angular moments describing the decay is presented for the $q^2$ range 1.1--6.0 $GeV^2/c^4$.
Using 2.93 fb$^{-1}$ of $e^+e^-$ collision data taken with the BESIII detector at a center-of-mass energy of 3.773 $rm ,GeV$, the observation of the $D^0to K_1(1270)^- e^+ u_e$ semileptonic decay is presented. The statistical significance of the decay $D^0to K_1(1270)^- e^+ u_e$ is greater than $10sigma$. The branching fraction of $D^0to K_1(1270)^- e^+ u_e$ is measured to be $(1.09pm0.13^{+0.09}_{-0.16} pm 0.12)times10^{-3}$. Here, the first uncertainty is statistical, the second is systematic, and the third originates from the assumed branching fraction of $K_1(1270)^- rightarrow K^-pi^+pi^-$. The fraction of longitudinal polarization in $D^0to K_1(1270)^- e^+ u_e$ is determined for the first time to be $0.50pm0.19_{rm stat}pm0.08_{rm syst}$.
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