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The minimal seesaw scenario explains electroweak symmetry breaking and the Higgs vacuum expectation value using a Majorana scale. This framework avoids the hierarchy problem but requires generating PeV Majorana masses.

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Area of Science:

  • Particle Physics
  • Cosmology
  • High Energy Physics

Background:

  • The minimal seesaw scenario offers a mechanism for electroweak symmetry breaking.
  • It can generate the Higgs potential and provide an origin for the Higgs vacuum expectation value.
  • This origin is linked to an underlying Majorana scale.

Purpose of the Study:

  • To explore the implications of the minimal seesaw scenario for electroweak symmetry breaking and the Higgs potential.
  • To investigate the expected mass scales of heavy singlet states within this framework.
  • To address the absence of the traditional hierarchy problem and introduce new challenges.

Main Methods:

  • Radiative generation of the Higgs potential within the minimal seesaw framework.
  • Analysis of the relationship between the Majorana scale and the electroweak scale.
  • Estimation of heavy singlet state masses (m_N) based on couplings (|ω|) between the Majorana and Standard Model sectors.

Main Results:

  • The Higgs potential and electroweak scale can originate from a Majorana scale.
  • Heavy SU(3)×SU(2)×U(1)_Y singlet states are predicted at m_N ~ 10-500 PeV for couplings |ω| ~ 10^{-4.5}-10^{-6}.
  • The electroweak scale hierarchy problem is absent as the electroweak scale is not fundamental.

Conclusions:

  • The minimal seesaw scenario provides a consistent framework for electroweak symmetry breaking and Higgs potential generation.
  • A new challenge arises in generating or accommodating PeV Majorana mass scales.
  • Suppressing tree-level contributions to the potential in ultraviolet models is crucial.