UV (in)sensitivity of Higgs inflation

Fumagalli, Jacopo; Postma, Marieke

doi:10.1007/jhep05(2016)049

Cited by 61 publications

(123 citation statements)

References 67 publications

(199 reference statements)

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“…The predictions of the classical action agree well with observations [20]. Loop corrections complicate the picture , and can change the qualitative behaviour to produce near-inflection point inflation [44,51,50,52,53,56,58,57,59,[65][66][67][68], hilltop inflation [56,59,60], hillclimbing inflation [61,62] and generate higher order curvature terms in the action that change the evolution [69,70,66,[71][72][73][74][75][76][77][78][79][80][81][82][83]. The issue of unitarity also remains unsettled [84,38,85,86,42,87,48,[88][89][90][91][92][93]…”

Section: Introductionsupporting

confidence: 56%

“…Getting leading terms of the polynomials to vanish requires fine-tuning (absent a symmetry that would relate the coefficients in the action to each other), just like obtaining a critical point [44,51,50,52,53,56,58,57,59,[65][66][67][68], hilltop [56,59,60] or a degenerate vacuum [61,62] using quantum corrections. Tuning of the classical terms is also presumably unstable to quantum corrections.…”

Section: Discussionmentioning

confidence: 99%

“…It would be interesting to extend the frame-covariant formalism developed to deal with conformal transformations of the metric [142] and partially translations of the connection [153,156,154,155,[157][158][159] to fully cover the transformations in the space of the scalar field, the metric and the connection, and make more transparent the frame-dependent role of the non-metricity and the connection. This connects to formulating the quantum theory in terms of frame-invariant variables to settle the issue of possible non-commutation of quantisation and frame transformations [88,172,173,91,174,175,56,176,154,155,37,39,42,44,47,177,89,[178][179][180].…”

Section: Discussionmentioning

confidence: 99%

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Higgs inflation in the Palatini formulation with kinetic terms for the metric

Räsänen¹

2019

TheOJA

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We consider scalar field inflation in the Palatini formulation of general relativity. The covariant derivative of the metric is then non-zero. From the effective theory point of view it should couple to other fields. We write down the most general couplings between it and a scalar field that are quadratic in derivatives. We consider both the case when the torsion is determined by the field equations and the case when it is assumed to be zero a priori. We find the metric derivative terms can significantly modify inflationary predictions. We specialise to Higgs inflation and terms of only up to dimension 4. Transforming to the Einstein frame, we show that by tuning the coefficients of the new terms, we can generate various effective inflationary potentials, including quadratic, hilltop-type, α-attractor and inflection point. Some of these can give inflation in agreement with observations, including with a large tensor-to-scalar ratio, even if the non-minimal coupling is zero.syksy.rasanen@iki.fi 1 False vacuum inflation is a possibility, but requires physics beyond the SM for graceful exit [27][28][29][30][31][32][33]. 2 The Palatini formulation is somewhat of a misnomer, as it was developed by Einstein [112,113]. It is also called the first order formulation, as only first derivatives appear in the gravitational action, unlike in the metric formulation (also referred to as the Hilbert formulation). Metric-affine is perhaps a more descriptive term, but it is often used to refer to the case when the general connection is used in both the gravitational and the matter action, with the name Palatini restricted to the case when the general connection is reserved for the gravitational sector, and the Levi-Civita connection is used in the matter sector [114][115][116]. arXiv:1811.09514v2 [gr-qc]

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Section: Introductionsupporting

confidence: 56%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Higgs inflation in the Palatini formulation with kinetic terms for the metric

Räsänen¹

2019

TheOJA

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“…Even though both frames are physically equivalent, this construction shows that taking the renormalization scale constant in one frame, or in another frame, leads to different physics. This result is comparable to what has been found in [48] and [49]. See also [50], which discusses the choice for a prescription in terms of the path integral measure: a constant renormalisation scale corresponds to a trivial integration measure.…”

Section: Inclusion Of Gravitysupporting

confidence: 83%

Hidden and explicit quantum scale invariance

2019

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There exist renormalisation schemes that explicitly preserve the scale invariance of a theory at the quantum level. Imposing a scale invariant renormalisation breaks renormalisability and induces new non-trivial operators in the theory. In this work, we study the effects of such scale invariant renormalisation procedures. On the one hand, an explicitly quantum scale invariant theory can emerge from the scale invariant renormalisation of a scale invariant Lagrangian. On the other hand, we show how a quantum scale invariant theory can equally emerge from a Lagrangian visibly breaking scale invariance renormalised with scale dependent renormalisation (such as the traditional MS scheme). In this last case, scale invariance is hidden in the theory, in the sense that it only appears explicitly after renormalisation.

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“…In most cases, quantum corrections don't affect the CMB predictions much [57]. However, if the couplings are tuned, the corrections can produce a feature at the inflationary scales, such as a critical point where the first and second derivatives of the potential vanish (simply called an inflection point in some publications) [32, 48, 57, 79-81, 84, 86-89], a hilltop [32,33,57] or a degenerate vacuum [90,91]. Such features can change the dynamics and the CMB predictions considerably.…”

Section: Contentsmentioning

confidence: 99%

Planck scale black hole dark matter from Higgs inflation

Räsänen

Tomberg

2019

J. Cosmol. Astropart. Phys.

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We study the production of primordial black hole (PBH) dark matter in the case when the Standard Model Higgs coupled non-minimally to gravity is the inflaton. PBHs can be produced if the Higgs potential has a near-critical point due to quantum corrections. In this case the slow-roll approximation may be broken, so we calculate the power spectrum numerically. We consider both the metric and the Palatini formulation of general relativity. Combining observational constraints on PBHs and on the CMB spectrum we find that PBHs can constitute all of the dark matter only if they evaporate early and leave behind Planck mass relics. This requires the potential to have a shallow local minimum, not just a critical point. The initial PBH mass is then below 10 6 g, and predictions for the CMB observables are the same as in tree-level Higgs inflation, n s = 0.96 and r = 5 × 10 −3 (metric) or r = 4 × 10 −8 . . . 2 × 10 −7 (Palatini).

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UV (in)sensitivity of Higgs inflation

Cited by 61 publications

References 67 publications

Higgs inflation in the Palatini formulation with kinetic terms for the metric

Higgs inflation in the Palatini formulation with kinetic terms for the metric

Hidden and explicit quantum scale invariance

Planck scale black hole dark matter from Higgs inflation

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