$B$-to-Glueball form factor and Glueball production in $B$ decays

Abstract

We investigate transition form factors of $B$ meson decays into a scalar glueball in the light-cone formalism. Compared with form factors of $B$ to ordinary scalar mesons, the $B$-to-glueball form factors have the same power in the expansion of $1/m_B$. Taking into account the leading twist light-cone distribution amplitude, we find that they are numerically smaller than those form factors of $B$ to ordinary scalar mesons. Semileptonic $B\to Gl\bar{\nu }$, $B\to G{l}^{+}{l}^{-}$ and $B_s\to G{l}^{+}{l}^{-}$ decays are subsequently investigated. We also analyze the production rates of scalar mesons in semileptonic $B$ decays in the presence of mixing between scalar $\bar{q}q$ and glueball states. The glueball production in $B_c$ meson decays is also investigated and the LHCb experiment may discover this channel. The sizable branching fraction in $B_c\to ({\pi }^{+}{\pi }^{-})l^{-}\bar{\nu }$, $B_c\to (K^{+}{K}^{-})l^{-}\bar{\nu }$ or $B_c\to ({\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-})l^{-}\bar{\nu }$ could be a clear signal for a scalar glueball state.

17 pages, 3 figure, revtex4

References in corpus (14)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• $B\to S$ Transition Form Factors in the PQCD approach
• Resolution to the $B\to \varphi K^{\ast }$ polarization puzzle
• Monte Carlo study of glueball masses in the Hamiltonian limit of SU(3) lattice gauge theory
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Study of scalar mesons f_0(980) and f_0(1500) from $B\to f_0(980)K$ and $B\to f_0(1500)K$ Decays
• Direct CP Violation in Hadronic B Decays
• Search for $B^0\to J/\psi \varphi$
• f_0(1710) production in exclusive B decays

Cited by in corpus (8)

• Revisiting Scalar Glueballs
• Penguin Pollution in $B\to J/\psi V$ Decays and Impact on the Extraction of the $B_s-{\bar{B}}_s$ mixing phase
• Semileptonic decays $B/B_s \to (η,\etar, G)(l^+l^-,l\barν,ν\barν)$ in the perturbative QCD approach beyond the leading order
• Chiral Dynamics and S-wave contributions in Semileptonic $D_s/B_s$ decays into ${\pi }^{+}{\pi }^{-}$
• Recent Developments on the CKM Matrix
• Hunting for a scalar glueball in exclusive B decays
• Factorization for radiative heavy quarkonium decays into scalar Glueball
• Semileptonic $B^{-}\to f_0(1710,1500,1370)e^{-}{\bar{\nu }}_e$ decays