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

Understand

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.