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

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

2009-08-16

arxiv.org/abs/0908.2216v2

J. Phys. G: Nucl. Part. Phys.37:085006, 2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 3 figure, revtex4

Scientific paper

10.1088/0954-3899/37/8/085006

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 $B\to Gl\bar\nu$, $B\to Gl^+l^-$ and $B_s\to Gl^+l^-$ decays are subsequently investigated. We also analyze the production rates of scalar mesons in semileptonic $B$ decays in the presence of mixing between scalar $\bar qq$ 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.

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