Abstract
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.
Highlights
JHEP06(2014)154 alternative scenarios can be saved by adding extra fields and dynamics to models, in the following we shall assume that the BICEP2 result favours generic trans-Planckian single field slow-roll inflation
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
We argue that the apparent absence of the Planck scale induced operators (1.2) and (1.3), as proven experimentally by the BICEP2 result, is an evidence for classically scale-free fundamental physics
Summary
The BICEP2 measurement of the tensor-to-scalar ratio r is the second experimental result challenging fundamentals of the standard Wilsonian paradigm of renormalisation of quantum field theories. We argue that there is a common solution to both problems — the classical scale invariance of laws of physics (see [56, 58, 61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86]) This means that the fundamental Lagrangian must contain no explicit mass scales, such as the electroweak scale Higgs mass or the Planck scale suppressed operators. [31] all three tasks were achieved by extending the SM by only one complex singlet scalar field S without imposing any additional symmetry for stabilising the dark matter In this model the inflaton potential is of λφφ type (because vφ ∼ TeV) that predicts large tensor-to-scalar ratio r close to the 2σ upper limit of BICEP2 measurement. Future precision measurements of these observables will essentially fix the model parameters
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