language: en

[Confidential: not for distribution. Submitted to IOP Publishing for peer review]

11 May 2010

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

Wei Wang a , Yue-Long Shen b,c and Cai-Dian Lü a
a Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences,
Beijing 100049, People's Republic of China
b Institute of Physics, Academia Sinica,
Taipei, Taiwan115, Republic of China
c College of Information Science and Engineering, Ocean University of China,
Qingdao, Shandong 266100, People's Republic of China

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/mB. Taking into account the leading twist lightcone distribution amplitude, we find that they are numerically smaller than those form factors of B to ordinary scalar mesons. Semileptonic B → Gl¯ ν, B → Gl + l − and Bs → 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 ¯ qq and glueball states. The glueball production in Bc meson decays is also investigated and the LHCb experiment may discover this channel. The sizable branching fraction in Bc → (π + π − )l − ¯ ν, Bc → (K + K − )l − ¯ ν or Bc → (π + π − π + π − )l − ¯ ν could be a clear signal for a scalar glueball state.

PACS numbers: 13.25.Hw,12.39.Ki I. INTRODUCTION