  Recent results on Higgs searches at the LHC point towards the existence of a
Higgs boson with mass of about 126 GeV whose diphoton decay rate tends to be
larger than in the Standard Model. These results are in tension with natural
MSSM scenarios: such a Higgs mass requires heavy (third-generation) squarks
which reintroduce some amount of fine-tuning and in general the Higgs diphoton
decay rate tends to follow the Standard Model result. In this paper we prove
that these problems can be alleviated by introducing an extra supersymmetric
triplet coupled to the Higgs in the superpotential. This superfield generates a
sizeable tree-level correction to the Higgs mass so that the third generation
is no longer required to be heavy, and its charged component enhances the
diphoton Higgs decay rates by as much as 50% with respect to the Standard Model
values. We also show that such a scenario is compatible with present
electroweak precision observables.
