Abstract

The null result in the LHC may indicate that the standard model is not drastically modified up to very high scales, such as the GUT/string scale. Having this in the mind, we suggest a novel leptogenesis scenario realized in the false vacuum of the Higgs field. If the Higgs field develops a large vacuum expectation value in the early universe, a lepton number violating process is enhanced, which we use for baryogenesis. To demonstrate the scenario, several models are discussed. For example, we show that the observed baryon asymmetry is successfully generated in the standard model with higher-dimensional operators.

Highlights

  • The standard model (SM) is complete after the discovery of the Higgs boson at the Large Hadron Collider [1,2], there are still mysteries in elementary particle physics, such as the finite neutrino mass and dark matter

  • How has baryogenesis been realized in the evolution of the universe? The latest cosmological result from the Planck observations [3] tells us that the baryon asymmetry in the universe (BAU) is n B = (8.67 ± 0.05) × 10−11, (1)

  • We study leptogenesis realized in the false vacuum of the Higgs field, in which the Higgs gains a vacuum expectation value far above the electroweak scale

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Summary

Introduction

The standard model (SM) is complete after the discovery of the Higgs boson at the Large Hadron Collider [1,2], there are still mysteries in elementary particle physics, such as the finite neutrino mass and dark matter. Where Li is the lepton doublet, is a cutoff scale, and the Higgs doublet is defined as Such an operator is typically generated in the type I seesaw model by integrating out the right-hand neutrino. We consider an extended system in which the new higher-dimensional operators are added In this case, we will see that the lepton asymmetry is caused by the neutrino and it is possible to explain the observation. We have to see whether or not the phase transition of the Higgs field from the false vacuum to the electroweak one occurs after the lepton asymmetry is produced To this end, we investigate the thermal history of the Higgs potential. In Appendix A, the thermal effects on the Higgs potential and their formulations are shown

Mechanism and Boltzmann equations
The derivation of Boltzmann equations
Minimal model case
Thermal history
Zero temperature Higgs potential
Thermal potential
Summary and discussion
The thermal functions and their approximation
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