Radiative Plateau Inflation with Conformal Invariance: Dynamical Generation of Electroweak and Seesaw Scales

Ghoshal, Anish; Okada, Nobuchika; Paul, Arnab

doi:10.48550/arxiv.2203.00677

Cited by 4 publications

(6 citation statements)

References 105 publications

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“…The slow-roll condition during inflation is measured in terms of slow-roll parameters ( V , η V , ξ V , σ V ) whose absolute values must be 1 throughout the inflation. The four slow roll parameters are respectively [45,93,94] (we have used the symbols from [93])…”

Section: Slow Roll Parameters and Number Of E-foldingsmentioning

confidence: 99%

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Inflection-point inflation and dark matter redux

Ghoshal

Lambiase

Pal

et al. 2022

J. High Energ. Phys.

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We investigate for viable models of inflation that can successfully produce dark matter (DM) from inflaton decay process, satisfying all the constraints from Cosmic Microwave Background (CMB) and from some other observations. In particular, we analyze near-inflection-point small field inflationary scenario with non-thermal production of fermionic DM from the decaying inflaton field during the reheating era. To this end, we propose two different models of inflation with polynomial potential. The potential of Model I contains terms proportional to linear, quadratic, and quartic in inflaton; whereas in Model II, the potential contains only even power of inflaton and the highest term is sextic in inflaton. For both the models, we find out possible constraints on the model parameters which lead to proper inflationary parameters from CMB data with a very small tensor-to-scalar ratio, as expected from a small-field model. With the allowed parameter space from CMB, we then search for satisfactory relic abundance for DM, that can be produced from inflaton via reheating, to match with the present-day cold dark matter (CDM) relic density for the parameter spaces of the DM χ mass and Yukawa couplings in the range 10−9 ≳ yχ ≳ 10−15 and 103GeV ≲ mχ ≲ 109GeV. The DM relic is associated with the inflection-points in each model via maximum temperature reached in the early universe during its production. Finally, we find out allowed parameter space coming out of combined constraints from stability analysis for both SM Higgs and DM decays from inflaton as well as from BBN and Lyman-α bounds.

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Section: Slow Roll Parameters and Number Of E-foldingsmentioning

confidence: 99%

“…Particularly inflection-point inflation and creation of inflection point in various particle physics models have been of great interest [41,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61] since it produces flat potential in a very simple framework and can be embedded quite easily in BSM models. It may avoid…”

Section: Introductionmentioning

confidence: 99%

Inflection-point inflation and dark matter redux

Ghoshal

Lambiase

Pal

et al. 2022

J. High Energ. Phys.

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“…1 For other conformal theory applications to cosmology, see [47] for freeze-in dark matter and [48] for inflation. just for some examples.…”

Section: Introductionmentioning

confidence: 99%

Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios

Frasca¹,

Ghoshal²,

Koshelev³

2022

Preprint

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We entertain the possibility that dark energy arises from the Higgs field of quintessence type in the non-perturbative regimes. For this purpose we utilize a set of exact solutions of Higgs field theory recently devised, in terms of Jacobi elliptical function for a massless quartic scalar field, that satisfy a massive dispersion relation. In certain regions of the parameter space, determined by the quartic coupling value, we show that such solutions have the property to give the correct behavior for the equation of state of the dark energy depending on the initial θ value of periodicity of the Jacobi elliptical function solution. It is seen that on a time scale determined by the Hubble constant and the strength of the self-interaction of the scalar field, when conformal invariance is restored, the equation of state for the dark energy becomes manifest. Further we investigate scenarios within standard field theory framework and also extending to higher-derivative theories, namely infinite-derivative theory, motivated from p-adic string field theory, and Lee-Wick theories and in all cases, we find suitable choices of the parameter space leads to dark energy behavior of the Higgs field, which we compare.

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“…The unitarity issues are well addressed and understood in Euclidean space (imaginary time/energy) and using Cutkosky rules, the results obtained there-in can be analytically continued to Minkowski spacetime (real time/energy) via the Pius-Sen prescription[39][40][41][42][43] 3. For other conformal theory applications to cosmology, see[45,111] for dark matter and[46,114] for inflation,[112,113] for baryogenesis and detectable Gravitational Waves, just for some examples.…”

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confidence: 99%

Fate of the false vacuum in string-inspired nonlocal field theory

Ghoshal

Nortier

2022

J. Cosmol. Astropart. Phys.

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In this article, we study Coleman bounce in weakly nonlocal theories which are motivated from string field theory. The kinetic term is extended via an infinite series of high-order derivatives, which comes into play at an energy scale M, without introducing any new states or ghosts in the mass spectrum. We calculate the bubble nucleation in thin-wall approximation, treating the system in semi-classical manner. We find that the effect of nonlocal scale M in the theory is to suppress the vacuum tunneling rate from false to true vacuum compared to the standard local bouncing scenario. Likewise, we show that as we move further away from the bubble wall, the effects of nonlocality gets reduced and this suppression is significant only around the wall of the nucleated bubble. From our investigations, we conclude that the main effect is due to the fact that the nonlocality smears the solution of the local bubble profile. However, the energy of the bubble wall remains unaffected by the microscopic nonlocal behavior of the theory in the thin-wall approximation. We also discuss the cases for Lee-Wick theories and applications of our result to cosmology.

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Radiative Plateau Inflation with Conformal Invariance: Dynamical Generation of Electroweak and Seesaw Scales

Cited by 4 publications

References 105 publications

Inflection-point inflation and dark matter redux

Inflection-point inflation and dark matter redux

Quintessence Dark Energy from strongly-coupled Higgs mass gap: Local and Non-local higher-derivative non-perturbative scenarios

Fate of the false vacuum in string-inspired nonlocal field theory

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