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Related Experiment Video

Updated: Feb 15, 2026

Measurement of Mitochondrial Mass and Membrane Potential in Hematopoietic Stem Cells and T-cells by Flow Cytometry
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Renormalization group flow of the Higgs potential.

Holger Gies1,2,3, René Sondenheimer4

  • 1Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany holger.gies@uni-jena.de.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|January 24, 2018
PubMed
Summary

Investigating the Higgs boson potential using the functional renormalization group reveals limitations in standard estimates. Including higher-dimensional operators can alter the Higgs mass lower bound, impacting stability.

Keywords:
Higgs Bosonrenormalization groupstandard model

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Area of Science:

  • High Energy Physics
  • Cosmology
  • Quantum Field Theory

Background:

  • The Higgs potential's stability is crucial for the Standard Model.
  • Standard estimates of the Higgs potential have limitations.
  • The functional renormalization group offers a new approach to study the Higgs potential.

Purpose of the Study:

  • To analyze the local and global properties of the Higgs effective potential.
  • To clarify the origin of the Higgs potential's meta-stability.
  • To investigate the impact of higher-dimensional operators on Higgs mass bounds.

Main Methods:

  • Utilizing the functional renormalization group to describe the effective potential.
  • Analyzing the potential as a function of scalar field amplitude and renormalization group scale.
  • Incorporating higher-dimensional operators from high-scale theories (GUT or Planck scale).

Main Results:

  • Identified limitations in standard estimates relying on scale identification.
  • Demonstrated that higher-dimensional operators can relax the lower bound on Higgs mass.
  • Provided insights into the meta-stability properties of the Higgs potential.

Conclusions:

  • The functional renormalization group provides a more comprehensive description of the Higgs potential.
  • Higher-dimensional operators play a significant role in determining Higgs mass bounds and potential stability.
  • Understanding these effects is crucial for Higgs cosmology and beyond the Standard Model physics.