The Hierarchy Problem: A Problematic Relationship between High and Low Energy?

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SUMMARY

The discussion centers on the hierarchy problem in theoretical physics, specifically its relationship with the fine-tuning problem. It highlights that at high energy levels, certain theories converge into a Grand Unified Theory (GUT), raising questions about the nature of high energy—whether it pertains to real particle collisions or high momentum loop integrals. The conversation emphasizes the connection between large and small energy scales and suggests that renormalization group equations link parameters at both scales. A proposed solution involves identifying cancellations in loop corrections without resorting to alternative theories like Supersymmetry (SUSY).

PREREQUISITES
  • Understanding of the hierarchy problem in particle physics
  • Familiarity with Grand Unified Theories (GUT)
  • Knowledge of renormalization group equations
  • Basic concepts of loop corrections in quantum field theory
NEXT STEPS
  • Research the implications of the hierarchy problem on the Standard Model
  • Study the role of loop corrections in quantum field theory
  • Explore Grand Unified Theories (GUT) and their predictions
  • Investigate potential solutions to the fine-tuning problem, including SUSY
USEFUL FOR

The discussion is beneficial for theoretical physicists, graduate students in particle physics, and researchers exploring the implications of the hierarchy and fine-tuning problems in the context of the Standard Model and beyond.

fxdung
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Why are hierarchies problematic? How are the hierarchy problem related with fine-tunning problem?

Saying that at high energy, some theories are united to one theory(example GUT).Which is high energy,the high energy of collision real particles or the high energy of high momentum loop integrals in loop corrections?
One same question when a theory is spontaneous broken to some theories.
If the high energy is the energy of collision real particles(not of virtue particle) then why the large relate with the small in hierarchy problem?
If the large not relate with the small,why hierarchy problem is problematic?
 
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Now I think the momenta of real and virtue particle are related and the parameters at low and high energy are related with each other by renormalization group equations,so the high energy is the both.Then the loop corrections cause hierarchy problematic thing.Perhap one solution is to point out some cancelations between the loop corrections if we do not want to change to other theory different from Standard Model such as SUSY.
 
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