[en] We present a number of analytical results which should guide the interpretation of lattice data in theories with an infrared fixed point (IRFP) deformed by a mass term δL=-mqq. From renormalization group (RG) arguments we obtain the leading scaling exponent, F∼m^η_F, for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of < qq>∼m^η_qq to the scaling of the density of eigenvalues of the massless Dirac operator ρ(λ)∼λ^η_qq. RG arguments yield η_qq=(3-γ_*)/(1+γ_*) as a function of the mass anomalous dimension γ_* at the IRFP. The arguments can be generalized to other condensates such as < G²>∼m^4/(1+γ_*). We describe a heuristic derivation of the result on the condensates, which provides interesting connections between different approaches. Our results are compared with existing data from numerical studies of SU(2) with two adjoint Dirac fermions.