Prospects for the extraction of $\mid V_{cb}\mid$ from $B_c\to J/\psi {\mu }^{+}\nu$ decays at LHC

Abstract

We discuss the possibility of extracting $\mid V_{cb}\mid$ from the future measurement at LHC of the $B_c\to J/\psi {\mu }^{+}\nu$ decay rate followed by the leptonic decay $J/\psi \to {\mu }^{+}{\mu }^{-}$. We examine in detail the influence of the measurement of the muons' momenta and vertex reconstruction in the final uncertainty of $\mid V_{cb}\mid$, as well as the required theoretical inputs at both the production and weak decay level, and their reliability in this regard. We stress the relevance of a rigorous description of the fragmentation contributions to inclusive production at large transverse momentum of heavy quarkonia in $pp$ collisions.

Comments: Latex using psfig.sty, 19 pages including 9 uuencoded. Replaced because of a few missprint errors