Constraints on low-x PDFs from Drell-Yan processes, and first studies of exclusive dimuon production with the LHCb experiment

We summarise the results from early LHCb data for muon final states produced through the Drell-Yan process via W, Z and $\gamma^{\star}$ down to a Q $^{2}$ of 5 GeV$^{2}$. Extrapolating these results up to the sample sizes expected in the remainder of the 2010 run gives exciting prospects for parton density function studies, which will benefit from LHCb's unique ability to trigger on low transverse momentum objects. Due to the forward acceptance of LHCb, x values down to $2 \times10^{-6}$ can be probed, where with just 100 pb$^{-1}$ of data the uncertainty on the gluon PDF can be reduced by more than a factor of two. We also report on first studies of exclusive $\chi_{c}\rightarrow J\psi(\mu\mu)\gamma$ production at LHCb, an important calibration channel for exclusive Higgs production at the LHC.