The two-photon exclusive production of charged supersymmetric pairs at the LHC has a clean and unique signature - two very forward scattered protons and two opposite charged leptons produced centraly. For low-mass SUSY scenarios, significant cross-se
ctions are expected and background processes are well controlled. Measurement of the forward proton energies would allow for mass reconstruction of right-handed sleptons and the LSP with a few GeV resolution. Methods to reduce backgrounds at high luminosity resulting from accidental coincidences between events in the central and forward detectors are discussed.
The detection of pairs of sleptons, charginos and charged higgs bosons produced via photon-photon fusion at the LHC is studied, assuming a couple of benchmark points of the MSSM model. Due to low cross sections, it requires large integrated luminosit
y, but thanks to the striking signature of these exclusive processes the backgrounds are low, and are well known. Very forward proton detectors can be used to measure the photon energies, allowing for direct determination of masses of the lightest SUSY particle, of selectrons and smuons with a few GeV resolution. Finally, the detection and mass measurement of quasi-stable particles predicted by the so-called sweet spot supersymmetry is discussed.
