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 $B_c\ {\rightarrow}\ J/\psi\ {\mu}^+\ {\nu}$ decay rate followed by the leptonic decay $J/\psi\ {\rightarrow}\ \mu^+\mu^-$. 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.