Exclusive production of the MSSM Higgs bosons at the LHC

We review the prospects for Central Exclusive Production (CEP) of BSM Higgs bosons at the LHC using forward proton detectors proposed to be installed at 220 m and 420 m from the ATLAS and/ or CMS. Results are presented for MSSM in standard benchmark scenarios and in scenarios compatible with the Cold Dark Matter relic abundance and other precision measurements. Following results of the LHC Higgs boson searches, we investigate a hypothesis that candidates found at a mass of 125 GeV are compatible with light CP-even MSSM Higgs bosons. We show that CEP can give a valuable information about spin-parity properties of the Higgs bosons.