Higgs Inflation in f(Φ,R) Theory

Abstract

We generalize the scalar-curvature coupling model $\xi {\Phi }^{2}R$ of Higgs inflation to $\xi {\Phi }^a{R}^b$ to study inflation. We compute the amplitude and spectral index of curvature perturbations generated during inflation and fix the parameters of the model by comparing these with the Planck$+$WP data. We find that if the scalar self coupling $\lambda$ is in the range $(10^{-5}-0.1)$, parameter $a$ in the range $(2.3-3.6)$ and $b$ in the range $(0.77-0.22)$ at the Planck scale, one can have a viable inflation model even for $\xi \simeq 1$. The tensor to scalar ratio $r$ in this model is small and our model with scalar-curvature couplings is not ruled out by observational limits on $r$ unlike the pure $\frac{\lambda }{4}{\Phi }^4$ theory. By requiring the curvature coupling parameter to be of order unity, we have evaded the problem of unitarity violation in scalar-graviton scatterings which plague the $\xi {\Phi }^{2}R$ Higgs inflation models. We conclude that the Higgs field may still be a good candidate for being the inflaton in the early universe if one considers higher dimensional curvature coupling.

15 pages, 2 tables, no figures, Revised version to appear in IJMPD

References in corpus (14)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The Standard Model Higgs boson as the inflaton
• Unitarizing Higgs Inflation
• Higgs-Palatini Inflation and Unitarity
• Gravitational corrections to Standard Model vacuum decay
• A Unitarity-Conserving Higgs Inflation Model
• Remarks on Higgs Inflation
• The Higgs mass range from Standard Model false vacuum Inflation in scalar-tensor gravity
• Standard Model False Vacuum Inflation: Correlating the Tensor-to-Scalar Ratio to the Top Quark and Higgs Boson masses
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Superstring-inspired supergravity as the universal source of inflation and quintessence
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Chaotic inflation in F(R) supergravity

Cited by in corpus (9)

• Higgs inflation from Standard Model criticality
• Disentangling the $f(R)$ - Duality
• Power law Starobinsky model of inflation from no-scale SUGRA
• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
• A Solution to the de Sitter Swampland Conjecture versus Inflation Tension via Supergravity
• Dilaton assisted two-field inflation from no-scale supergravity
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Constraints on the Combined Models with $R^{2-q}$ Inflation and Viable $f(R)$ Dark Energy
• Non-minimal scalar-tensor theories