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Primordial black holes from Higgs inflation?

Eemeli Tomberg 27.5.2019

[1810.12608] In collaboration with Syksy Räsänen

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Primordial black holes (PBHs)

◮ Black holes formed in the early universe ◮ Dark matter candidate ◮ Observable by GW detectors?

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PBHs as dark matter [1705.05567]

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Origin of PBHs

◮ A possible origin: primordial density perturbations from cosmic inflation

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Higgs inflation

◮ Standard Model Higgs, coupled non-minimally to gravity, drives cosmic inflation

S =

• d4x√−g
• − 1

2

• M2 + ξh2

R + 1 2gµν∂µh∂νh − λ 4 h4

• Eemeli Tomberg

University of Helsinki Primordial black holes from Higgs inflation? 5 / 13

Higgs inflation

◮ “Einstein frame potential”: ◮ Compatible with Planck CMB results; in particular, ns = 0.9625 ± 0.0048 [1807.06211]

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PBHs from a feature in the potential

◮ Feature from quantum corrections to effective potential

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Quantum corrections

◮ Model is non-renormalizable ◮ At large field values, can use effective field theory: chiral SM ◮ Freedom in connecting this to electroweak scale physics (jumps in couplings)

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Quantum corrections

◮ Scan over all quantum-corrected potentials with a suitable feature ◮ Check PBH formation for them

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Results

χ U

◮ PBH abundance can be fine-tuned

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Results

◮ PBH mass: ◮ Discrepancy between PBH limits and CMB measurements

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Planck scale dark matter?

◮ In Higgs inflation, measured ns is only compatible with small PBHs ◮ These evaporate quickly by Hawking radiation ◮ IF Planck mass relics left behind: these could constitute DM

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Conclusions

◮ PBHs can be produced abundantly in Higgs inflation ◮ Big black holes not compatible with CMB

• bservations

◮ Planck mass relics as DM still possible

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