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If cosmological inflation is due to a slowly rolling single inflation fieldtaking trans-Planckian values as suggested by the BICEP2 measurement ofprimordial tensor modes in CMB, embedding inflation into the Standard Modelchallenges standard paradigm of effective field theories. Together with anapparent absence of Planck scale contributions to the Higgs mass and to thecosmological constant, BICEP2 provides further experimental evidence for theabsence of large $M_{\rm P}$ induced operators. We show that classical scaleinvariance, the paradigm that all fundamental scales in Nature are induced byquantum effects, solves the problem and allows for a remarkably simplescale-free Standard Model extension with inflaton without extending the gaugegroup. Due to trans-Planckian inflaton values and vevs, a dynamically inducedColeman-Weinberg-type inflaton potential of the model can predicttensor-to-scalar ratio $r$ in a large range, converging around the predictionof chaotic $m^2\phi^2$ inflation for a large trans-Planckian value of theinflaton vev. Precise determination of $r$ in future experiments will singleout a unique scale-free inflation potential, allowing to test the proposedfield-theoretic framework.

Embedding inflation into the Standard Model - more evidence for classical scale invariance