Quantum corrections in Higgs inflation: the Standard Model case

George, Damien P.; Mooij, Sander; Postma, Marieke

doi:10.1088/1475-7516/2016/04/006

Cited by 57 publications

(91 citation statements)

References 85 publications

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“…The above discussion applies only at classical level. Incorporating quantum corrections is a difficult task, although in the case of plateau potentials they have been shown to be mostly insignificant during inflation [26,65,97,98,[101][102][103][104][105][106][107][108][109]. However, they may affect the potential in the regime where reheating occurs [104,106], and certainly one should find a way to relate the couplings at the scale of inflation to the physics at lower energies, in particular around the EW scale.…”

Section: Higgs Inflationmentioning

confidence: 99%

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tenkanen

2020

Gen Relativ Gravit

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We present an introduction to cosmic inflation in the context of Palatini gravity, which is an interesting alternative to the usual metric theory of gravity. In the latter case only the metric g µν determines the geometry of space-time, whereas in the former case both the metric and the space-time connection Γ λ µν are a priori independent variables -a choice which can lead to a theory of gravity different from the metric one. In scenarios where the field(s) responsible for cosmic inflation are coupled non-minimally to gravity or the gravitational sector is otherwise extended, assumptions of the underlying gravitational degrees of freedom can have a big impact on the observational consequences of inflation. We demonstrate this explicitly by reviewing several interesting and well-motivated scenarios including Higgs inflation, R 2 inflation, and ξ-attractor models. We also discuss some prospects for future research and argue why r = 10 −3 is a particularly important goal for future missions that search for signatures of primordial gravitational waves.

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Section: Higgs Inflationmentioning

confidence: 99%

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tenkanen

2020

Gen Relativ Gravit

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“…In the Einstein frame, the RG improved effective inflaton potential at the one-loop level is given by [47][48][49] …”

Section: Running B − L Higgs Inflation and Stability Of Inflaton Potementioning

confidence: 99%

“…Since RGE evolves logarithmically, to a good approximation we can analytically solve the RGE of λ around I such that β λ is taken to be constant. The solution is given by 5 In this RG improved effective potential, we have identified the renormalization scale with according to the prescription proposed in [47][48][49], where it has been shown that the effective potential is frameindependent with this choice. In fact, we are especially interested in the parameter region of ξ 1 in this paper, so that φ and the identification reduces to the usual one.…”

Section: Running B − L Higgs Inflation and Stability Of Inflaton Potementioning

confidence: 99%

“…6 There are a few different prescriptions for computing quantum corrections in the presence of the non-minimal gravitational coupling [17,18]. For recent, detailed computations of quantum corrections, see [47][48][49] and their results of 1-loop beta functions with the s-factor. 8) where I is the initial inflation scale and 0 is the scale such that λ( 0 ) = 0.…”

Section: Running B − L Higgs Inflation and Stability Of Inflaton Potementioning

confidence: 99%

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Running non-minimal inflation with stabilized inflaton potential

Okada

Raut

2017

Eur. Phys. J. C

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In the context of the Higgs model involving gauge and Yukawa interactions with the spontaneous gauge symmetry breaking, we consider λφ 4 inflation with nonminimal gravitational coupling, where the Higgs field is identified as the inflaton. Since the inflaton quartic coupling is very small, once quantum corrections through the gauge and Yukawa interactions are taken into account, the inflaton effective potential most likely becomes unstable. In order to avoid this problem, we need to impose stability conditions on the effective inflaton potential, which lead to not only non-trivial relations amongst the particle mass spectrum of the model, but also correlations between the inflationary predictions and the mass spectrum. For concrete discussion, we investigate the minimal B − L extension of the standard model with identification of the B − L Higgs field as the inflaton. The stability conditions for the inflaton effective potential fix the mass ratio amongst the B − L gauge boson, the right-handed neutrinos and the inflaton. This mass ratio also correlates with the inflationary predictions. In other words, if the B − L gauge boson and the right-handed neutrinos are discovered in the future, their observed mass ratio provides constraints on the inflationary predictions.

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“…If one reads off the beta function of the "quartic" coupling from the combination λ ch +λ km , it changes suddenly at h ∼ µ km ; see e.g. Refs [94,95]…”

mentioning

confidence: 99%

Asymptotic scale invariance and its consequences

Shaposhnikov

Shimada

2019

Phys. Rev. D

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Scale invariance supplemented by the requirement of the absence of new heavy particles may play an important role in addressing the hierarchy problem. We discuss how the Standard Model may become scaleinvariant at the quantum level above a certain value of the Higgs field value without addition of new degrees of freedom and analyze phenomenological and cosmological consequences of this setup, in particular, possible metastability of the electroweak vacuum and Higgs inflation.1 The SM cannot explain neutrino masses and oscillations, dark matter (see, however, Ref.[15]) and the baryon asymmetry of the Universe and thus cannot be a final theory.

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Quantum corrections in Higgs inflation: the Standard Model case

Cited by 57 publications

References 85 publications

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Tracing the high energy theory of gravity: an introduction to Palatini inflation

Running non-minimal inflation with stabilized inflaton potential

Asymptotic scale invariance and its consequences

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