  If cosmological inflation is due to a slowly rolling single inflation field
taking trans-Planckian values as suggested by the BICEP2 measurement of
primordial tensor modes in CMB, embedding inflation into the Standard Model
challenges standard paradigm of effective field theories. Together with an
apparent absence of Planck scale contributions to the Higgs mass and to the
cosmological constant, BICEP2 provides further experimental evidence for the
absence of large $M_{\rm P}$ induced operators. We show that classical scale
invariance, the paradigm that all fundamental scales in Nature are induced by
quantum effects, solves the problem and allows for a remarkably simple
scale-free Standard Model extension with inflaton without extending the gauge
group. Due to trans-Planckian inflaton values and vevs, a dynamically induced
Coleman-Weinberg-type inflaton potential of the model can predict
tensor-to-scalar ratio $r$ in a large range, converging around the prediction
of chaotic $m^2\phi^2$ inflation for a large trans-Planckian value of the
inflaton vev. Precise determination of $r$ in future experiments will single
out a unique scale-free inflation potential, allowing to test the proposed
field-theoretic framework.
