Axial-vector $f_1(1285)-f_1(1420)$ mixing and $B_s\to J/\psi (f_1(1285),f_1(1420))$ decays

Abstract

Inspired by the very recent LHCb measurements of $B_s\to J/\psi f_1(1285)$ and the good agreement between the perturbative QCD predictions and the data for many $B\to J/\psi V$ decays, we here investigate the $B_s\to J/\psi f_1(1285)$ and $B_s\to J/\psi f_1(1420)$ decays for the first time by employing the perturbative QCD (pQCD) approach, in which the $1^3{P}_1$ states $f_1(1285)$ and $f_1(1420)$ are believed to be the mixture of flavor singlet $f_1$ and octet $f_8$ or of quark-flavor states $f_{1q}$ and $f_{1s}$. We show that the pQCD predictions for the branching ratio of $B_s\to J/\psi f_1(1285)$ agree well with the data within errors for the mixing angle ${\theta }_{{}^3{P}_1}\approx 20^{\circ }({\varphi }_{{}^3{P}_1}\approx 15^{\circ })$ between $f_1(f_{1q})$ and $f_8(f_{1s})$ states. Furthermore, the branching ratio of $B_s\to J/\psi f_1(1420)$ and the large transverse polarization fractions in these two considered channels are also predicted and will be tested by the LHC and the forthcoming Super-B factory experiments. Based on the decay rates of $B_s\to J/\psi f_1(1285)$ and $B_s\to J/\psi f_1(1420)$ decay modes predicted in the pQCD approach, the extracted mixing angle between $f_1(1285)$ and $f_1(1420)$ is basically consistent with currently available experimental measurements and lattice QCD analysis within still large theoretical errors.

10 pages, 1 figure, 1 table; Contents improved and references added; Accepted for publication as a Brief Report in Physical Review D

References in corpus (7)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Toward the excited isoscalar meson spectrum from lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Use of B->J/ψf0 decays to discern the q anti-q or tetraquark nature of scalar mesons
• Hadronic charmless B decays B-> AP
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Observation of B^0_(s) -> J/ψf_1(1285) decays and measurement of the f_1(1285) mixing angle

Cited by in corpus (10)

• Branching ratios, $CP$ asymmetries and polarizations of $B\to \psi (2S)V$ decays
• Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays
• Study of the $K_1(1270)-K_1(1400)$ mixing in the decays $B\to J/\Psi K_1(1270),J/\Psi K_1(1400)$
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Nonleptonic decays of $B\to (f_1(1285),f_1(1420))V$ in the perturbative QCD approach
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• The new states $X(1910)$ and $X(2300)$ and higher light excited $J^{PC}=1^{+-}$ mesons
• Charmless hadronic $B\to (f_1(1285),f_1(1420))P$ decays in the perturbative QCD approach