  We present a technique to determine the scale of New Physics (NP) compatible
with any set of data, relying on well-defined credibility intervals. Our
approach relies on the statistical view of the effective field theory capturing
New Physics at low energy. We introduce formally the notion of testable NP and
show that it ensures integrability of the posterior distribution. We apply our
method to the Standard Model Higgs sector in light of recent LHC data,
considering two generic scenarios. In the scenario of democratic higher
dimensional operators generated at one-loop, we find the testable NP scale to
lie within $[10,260]$ TeV at $95\%$ Bayesian credibility level. In the scenario
of loop-suppressed field strength-Higgs operators, the testable NP scale is
within $[28,1200]$ TeV at $95\%$ Bayesian credibility level. More specific UV
models are necessary to allow lower values of the NP scale.
