Abstract
In new Higgs inflation the Higgs kinetic terms are non-minimally coupled to the Einstein tensor, allowing the Higgs field to play the role of the inflaton. The new interaction is non-renormalizable, and the model only describes physics below some cutoff scale. Even if the unknown UV physics does not affect the tree level inflaton potential significantly, it may still enter at loop level and modify the running of the Standard Model (SM) parameters. This is analogous to what happens in the original model for Higgs inflation. A key difference, though, is that in new Higgs inflation the inflationary predictions are sensitive to this running. Thus the boundary conditions at the EW scale as well as the unknown UV completion may leave a signature on the inflationary parameters. However, this dependence can be evaded if the kinetic terms of the SM fermions and gauge fields are non-minimally coupled to gravity as well. Our approach to determine the model’s UV dependence and the connection between low and high scale physics can be used in any particle physics model of inflation.
Highlights
It does not give a valid period of inflation, for illustrative purposes consider first inflation in the Standard Model (SM) with the quartic Higgs potential V (φ) = λφ4
In new Higgs inflation the Higgs kinetic terms are non-minimally coupled to the Einstein tensor, allowing the Higgs field to play the role of the inflaton
2.1 The action In new Higgs inflation (NHI) the Higgs kinetic terms are non-minimally coupled to gravity [6]
Summary
In NHI the Higgs kinetic terms are non-minimally coupled to gravity [6]. We will consider the possibility that the kinetic terms of the fermions and gauge bosons contain a non-minimal coupling to gravity [27, 28]. In four dimensions there is only the Einstein tensor. Gμν = Rμν − (R/2)gμν, and the double dual Riemann tensor4 [29, 30] Gαβγδ = ∗Rαβγδ∗ =. The Higgs, fermion and gauge Lagrangian contain the SM terms plus a non-minimal coupling to gravity via the kinetic term. NHI assumes a constant Higgs coupling, which can always be set to unity by redefining the mass scale. In the original NHI scenario this is the only non-minimal coupling and√αA n αψ [6].
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