Palatini-Higgs inflation with nonminimal derivative coupling

Gialamas, Ioannis D.; Καράμ, Αλέξανδρος; Lykkas, Angelos; Παππάς, Θωμάς

doi:10.1103/physrevd.102.063522

Cited by 47 publications

(30 citation statements)

References 103 publications

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“…Note also that the Planck scale is dynamically generated via the vacuum expectation value (VEV) of the scalar field as M 2 Pl = ξ φ v 2 φ . This is usually achieved in scale-invariant theories [45,75,76,82,87,91,, where the running of the inflaton quartic coupling induces symmetry breakingà la Coleman-Weinberg. Now, including an auxiliary field and after a conformal (or a disformal transformation [119][120][121][122] in the β = 0 case), we obtain the final EF action…”

Section: Palatini Formulation Of Gravitymentioning

confidence: 99%

“…In [82] we considered a U (1) X extension of the Standard Model (SM) [124][125][126][127][128][129][130][131] in which the extra particles are three right-handed (RH) neutrinos N R , one gauge boson and one scalar field Φ, which in the unitary gauge is given by Φ = (φ + v φ )/ √ 2. The relevant Lagrangians of the model are…”

Section: Scale Invariant Inflation With a U (1) X Extension Of The Standard Model In Palatini Quadratic Gravitymentioning

confidence: 99%

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Dynamically induced Planck scale and inflation in the Palatini formulation

Gialamas

Καράμ

2020

J. Cosmol. Astropart. Phys.

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Section: Palatini Formulation Of Gravitymentioning

confidence: 99%

Section: Scale Invariant Inflation With a U (1) X Extension Of The Standard Model In Palatini Quadratic Gravitymentioning

confidence: 99%

Dynamically induced Planck scale and inflation in the Palatini formulation

Gialamas

Καράμ

2020

J. Cosmol. Astropart. Phys.

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“…Alternative formulations of GR introduce the possibility of new non-minimal couplings between the Higgs and the connection, which can qualitatively change the potential [52,76,82,83]. (In addition the Higgs kinetic terms can be non-minimally coupled, also in the metric case [50,84,94,95,[126][127][128][129][130][131][132][133][134].) We consider only the simplest Higgs inflation action, where the Higgs doublet has a nonminimal coupling ξ to the Ricci scalar.…”

Section: Jhep04(2021)059mentioning

confidence: 99%

Critical point Higgs inflation in the Palatini formulation

Enckell

Nurmi

Räsänen

et al. 2021

J. High Energ. Phys.

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We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for the Higgs quartic coupling λ and the top Yukawa coupling yt, we scan the three-dimensional parameter space formed by the two jumps and the non-minimal coupling ξ.The spectral index ns can take any value in the observationally allowed range. The lower limit for the running is αs> −3.5 × 10−3, and αs can be as large as the observational upper limit. Running of the running is small. The tensor-to-scalar ratio is 2.2×10−17< r < 2 × 10−5. We find that slow-roll can be violated near the feature, and a possible period of ultra-slow-roll contributes to the widening of the range of CMB predictions. Nevertheless, for the simplest tree-level action, the Palatini formulation remains distinguishable from the metric formulation even when quantum corrections are taken into account, because of the small tensor-to-scalar ratio.

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“…Therefore, the non-minimal derivative coupling inflation model could save the Higgs model without introducing a new degree of freedom. For more about the non-minimal derivative coupling inflation model, refer to [10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials

2020

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We derive the reconstruction formulae for the inflation model with the non-minimal derivative coupling term. If reconstructing the potential from the tensor-to-scalar ratio r, we could obtain the potential without using the high friction limit. As an example, we reconstruct the potential from the parameterization r=8α/(N+β)γ, which is a general form of the α-attractor. The reconstructed potential has the same asymptotic behavior as the T- and E-model if we choose γ=2 and α≪1. We also discuss the constraints from the reheating phase by assuming the parameter wre of state equation during reheating is a constant. The scale of big-bang nucleosynthesis could put an upper limit on ns if wre=2/3 and a low limit on ns if wre=1/6.

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Palatini-Higgs inflation with nonminimal derivative coupling

Cited by 47 publications

References 103 publications

Dynamically induced Planck scale and inflation in the Palatini formulation

Dynamically induced Planck scale and inflation in the Palatini formulation

Critical point Higgs inflation in the Palatini formulation

The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials

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