Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$

Abstract

The axial-vector mesons $f_1(1285)$ and $f_1(1420)$ are particularly viewed as the mixtures of flavor states $f_n$ and $f_s$ with mixing angle $\phi$. In order to determine this angle, we study the $B_{d,s}^0\to J/\psi f_1(1285,1420)$ and $B_{d,s}^0\to {\eta }_c{f}_1(1285,1420)$ decays in perturbative QCD (PQCD) approach, including the effects of vertex corrections, nonfactorizable diagrams and penguin operators. Not only the branching fractions, but also the direct $CP$ asymmetries and the polarization fractions are calculated. It is found that the branching fractions of these decays are large enough to be measured in the running LHCb and Belle-II experiments. Moreover, in comparison with the observed $\mathcal{B}(B_{d,s}^0\to J/\psi f_1(1285))$, $B_s^0\to (J/\psi ,{\eta }_c)f_1(1420)$ decays have large branching fractions, which could be measured promisingly through $f_1(1420)\to K_S^0{K}^{\pm }{\pi }^{\mp }$ in experiments. We also propose several ratios that could be used to further constrain the absolute value of the mixing angle $\phi$, but its sign cannot be determined yet in these decays. The direct CP asymmetries of these decays indicate the penguin pollution in the $B_d^0\to (J/\psi ,{\eta }_c)f_1$ decays cannot be neglected. We acknowledge that there are large theoretical uncertainties arising from the distribution amplitudes of axial-vector mesons and charmonium states, and more precise nonperturbative parameters are called. The comparisons between our results and future experimental data would help us to understand the nature of $f_1$ states and to test the PQCD approach.

arXiv comment18 pages, 3 figures, journal version, published in EPJC

References in corpus (29)

• Weak Decays Beyond Leading Logarithms
• Fat penguins and imaginary penguins in perturbative QCD
• Branching fractions, polarisation and asymmetries of B -> VV decays
• Toward the excited isoscalar meson spectrum from lattice QCD
• B to light meson transition form factors calculated in perturbative QCD approach
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Is the BELLE result for the cross section e+e- -> J/psi+eta_c a real difficulty for QCD ?
• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Threshold resummation for nonleptonic B meson decays
• Revisiting Axial-Vector Meson Mixing
• Higher-twist B-meson Distribution Amplitudes in HQET
• Use of B->J/ψf0 decays to discern the q anti-q or tetraquark nature of scalar mesons
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Implications of the Glueball-qqbar filter on the 1++ nonet
• B -> chi_cJ K decays revisited
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Constraint on axial-vector meson mixing angle from nonrelativistic constituent quark model
• $B\to {\chi }_{c1}(1P,2P)K$ decays in QCD factorization and X(3872)
• Determination of $f_0-\sigma$ mixing angle through $B_s^0\to J/\Psi f_0(980)(\sigma )$ decays
• Regarding the axial-vector mesons
• Spontaneous breaking of the lepton number and invisible majoron in a 3-3-1 model
• B ->η_c K(η_c^\prime K) decays in QCD factorization
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• $B \to (\jpsi,η_c) K$ decays in the perturbative QCD approach
• The PQCD approach towards to next-to-leading order: a short review
• Determination of the compositeness of resonances from decays: the case of the $B_s^0\to J/\psi f_1(1285)$
• SU(3) Mixing for Excited Mesons
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach