Why do we consider higher dimensional operators in the search for new physics?

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SUMMARY

Higher dimensional operators, specifically those of dimension six or greater, are considered in the search for new physics due to their non-renormalizable nature. While traditionally avoided, insights from the renormalization group suggest that these operators should not be disregarded. However, alternatives such as supersymmetric extensions of the Standard Model, which include new renormalizable terms of dimension four, also provide pathways to new physics without relying on higher dimensional operators. Understanding these concepts is crucial for exploring theoretical physics beyond the Standard Model.

PREREQUISITES
  • Quantum Field Theory fundamentals
  • Understanding of renormalization group concepts
  • Familiarity with the Standard Model of particle physics
  • Knowledge of supersymmetry principles
NEXT STEPS
  • Research the implications of non-renormalizable operators in quantum field theory
  • Study the role of the renormalization group in theoretical physics
  • Explore supersymmetric models and their contributions to particle physics
  • Investigate the significance of dimension four operators in the context of new physics
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Theoretical physicists, particle physicists, and students of quantum field theory seeking to deepen their understanding of new physics and the implications of higher dimensional operators.

shakeel
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I am confuse about the dimension of an operator? Why we need an operator of Dim six or greater for new physics?
 
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It's a little unclear how/what you don't understand.

Dimension 6 or greater operators are non renormalizable, so traditionally we don't write them down. But experience with the renormalization group tells us that we should consider those terms as well, so sometimes when we look for "new physics" we do it by considering higher dimensional operators. However, I believe this isn't necessary for new physics, for example supersymmetric extensions of the standard model contain new renormalizable terms, so these terms are of dimension 4 but aren't in the standard model.

Maybe you can elaborate a little bit more about what you know about physics (specifically quantum field theory)?
 

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