The MSSM can accommodate the observed Higgs mass m_h ~ 126 GeV at the price of some unpleasant amount of tuning. This problem can be alleviated in scenarios with an enlarged chiral-superfield content. By requiring minimality, two main options are allowed to extend the MSSM: either a singlet or a Y=0 SU(2)_L triplet can be added. This talk focuses on the latter possibility. In particular, we will discuss its Higgs sector and signatures at collider. Comments on loop-induced Higgs decays, as well as on constraints coming from dark matter analyses, will be also provided.
