Abstract

Higgs inflation is known to be a minimal extension of the Standard Model allowing for the description of the early Universe inflation. This model is considered an effective field theory since it has a relatively low cutoff scale, thus requiring further extensions to be a valid description of the reheating phase. We present a novel unified approach to the problem of unitarization and UV completion of the Higgs inflation model without introducing new massive degrees of freedom. This approach is based on an Analytic Infinite Derivative modification of the Higgs field kinetic term. We construct a unitary nonlocal UV completion of the original Higgs inflation model, while the inflationary stage is kept stable with respect to quantum corrections.

Highlights

  • The minimal realization of the inflationary stage in the early Universe can be achieved by making use of a scalar field which is already present in the Standard Model—the

  • We show that the answer is positive and formulate an Analytic Infinite Derivative (AID) Lagrangian, leading to the finite loop corrections, which might in principle solve the strong coupling issue in Higgs inflation

  • The main game changer in the presented consideration compared to previous studies of the Higgs inflation model is the Analytic Infinite Derivative (AID) modification of the scalar field propagator

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Summary

INTRODUCTION

We show that if the nonlocality scale is chosen to be of the order of the cutoff scale of the initial local scalar field Lagrangian, the one-loop correction given by the Coleman-Weinberg potential can be small for all values of the classical background field. This provides a hint that the model can be still weakly coupled at the loop level.

UV COMPLETION OF A TOY MODEL
Toy model
Number of physical excitations
Classical background equations
Effective potential
NONLOCALITY IN THE STANDARD MODEL
Issue of tree-level unitarity
Naturalness of Higgs mass
CONCLUSIONS
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