Elastic and total cross-section measurements by TOTEM: Past and future

The TOTEM experiment at the LHC has measured proton-proton elastic scattering in dedicated runs at $\sqrt{s} = 7,8$ and $2.76$ TeV centre-of-mass LHC energies. The proton-proton total cross-section $\sigma_{tot}$ has been derived for each energies using a luminosity independent method. TOTEM has excluded a purely exponential differential cross-section for elastic proton-proton scattering with significance greater than $7 \sigma$ in the $|t|$ range from $0.027$ to $0.2$ GeV$^2$ at $\sqrt{s} = 8$ TeV. The $\rho$ parameter has been measured at $\sqrt{s} = 8$ TeV via the Coulomb-nuclear interference, and was found to be $\rho = 0.12 \pm 0.03$.