Abstract

Symmetry breaking in the Higgs field via a non-minimal coupling to gravity or higher-dimensional interactions with the inflaton can lead to condensation at a large vacuum expectation value (VEV) during inflation. After inflation is over, the Higgs field must relax to the minimum of its effective potential, creating an era in which the CPT is effectively broken by the time-depended VEV. We show that the matter-antimatter asymmetry can be generated during this relaxation epoch.

Highlights

  • Post-inflationary Higgs evolution towards the electroweak minimum can be an essential phase of the early Universe [2,3,4, 23, 24]

  • In this work we investigated leptogenesis due to relaxation of the Higgs condensate from the initial vacuum expectation value (VEV) developed during inflation to the electroweak minimum

  • We focus on inflationary scenarios that generate a sizable VEV, around or greater than the scale of the Hubble horizon, via spontaneous symmetry breaking in the Higgs potential

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Summary

Inflation with symmetry breaking

We review inflationary scenarios associated with a gauge symmetry breaking in the SM sector. We focus on non-Higgs inflation scenarios, and we consider the inflaton, φ, in the framework of single-field inflation with slow-roll conditions. If the symmetry breaking is triggered by the slow-roll dynamics of inflation, the non-zero VEV h0 characterizes a modified Higgs scale associated with the inflationary Hubble parameter HI. As a result of symmetry breaking, SM particles gain masses of O(HI ) and behave as heavy degrees of freedom during inflation. Assuming an approximated shift symmetry in the inflaton sector during the slow roll, Oi only contain derivative couplings of φ. Removing the non-minimal coupling by a conformal transformation into the Einstein frame, one can see that the tachyonic mass is effectively given by the inflaton potential [30].

Post-inflationary Higgs relaxation
Free-fall relaxation
Forced relaxation
Preheating
Reheating
Leptogenesis from forced relaxation
Conclusions
A Resonance in forced relaxation
B Instability of Higgs mode functions
C Non-perturbative Higgs decay
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