Higgs potential and fundamental physics
Ivan Melo

TL;DR
This paper reviews the Higgs potential's role in fundamental physics, covering symmetry breaking, mass generation, quantum corrections, and related challenges like naturalness and vacuum stability.
Contribution
It provides a concise summary of the Higgs potential's significance and recent theoretical issues, making complex concepts accessible to a broader audience.
Findings
Discussion of the Higgs potential's role in spontaneous symmetry breaking
Analysis of temperature and quantum corrections leading to naturalness problems
Insights into vacuum stability and related theoretical challenges
Abstract
Physics associated with the Higgs field potential is rich and interesting and deserves a concise summary for a broader audience to appreciate the beauty and the challenges of this subject. We discuss the role of the Higgs potential in particle physics, in particular in the spontaneous symmetry breaking and in the mass generation using an example of a simple reflection symmetry, then continue with the temperature and quantum corrections to the potential which lead us to the naturalness problem and the vacuum stability.
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