In the absence of direct discoveries, physics Beyond the Standard Model (BSM) can be parametrized by an effective field theory as an expansion in inverse powers of the New Physics scale. This expansion serves as a guide for precision searches. In fact, the leading term in this expansion coincides with the SM: its symmetries and relations are well known and are being tested at colliders. In this talk I discuss the next order in the expansion, that parametrize the largest effects that can be expected from physics BSM. I will show that many relations persist, implying that not all the observables that we experimentally test are independent. For example, deviations in the differential distribution of h->Vff decays, are correlated with deformations of the couplings of vectors to fermions, that are already well measured at LEP.