Exclusive Photoproduction of $\Upsilon$ and lepton pairs in Pb-Pb at 5.5 TeV

Electromagnetic interactions of heavy-ions give access to a unique programme of photon-induced studies in the QCD and QED sectors of the Standard Model. On the one hand, exclusive photoproduction of bottomonium ($\gamma\,A \rightarrow \Upsilon\,A$, where the nucleus $A$ remains intact) offers a useful means to constrain the small-$x$ nuclear gluon density. On the other, two-photon exclusive dilepton production ($\gamma\,\gamma\rightarrow l^{+}\,l^{-}$) allows us to study QED at field-strengths close or above the Schwinger limit ($E_{\rm crit}\approx$~1.5 $\times$10$^{16}$~V/cm). We present full simulation studies of exclusively photo-produced $\Upsilon$ and high-mass dileptons in Pb-Pb collisions at the LHC.