How SUSY solves the hierarchy problem

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Discussion Overview

The discussion revolves around how supersymmetry (SUSY) addresses the Higgs naturalness problem, particularly through the role of radiative corrections in the standard model. Participants explore the theoretical implications and seek to clarify the mechanisms involved.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion regarding how superparticles contribute to solving the Higgs naturalness problem and seeks a deeper understanding of radiative corrections.
  • Another participant provides links to resources that may help clarify the topic, indicating that these materials could address the initial participant's questions.
  • A later reply emphasizes that fermions and bosons contribute to the Higgs self-energy with opposite signs, and that SUSY introduces partners for these particles that also contribute with opposite signs, potentially leading to a cancellation effect that keeps the Higgs mass stable.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants are exploring different aspects of the topic and seeking clarification rather than agreeing on a definitive explanation.

Contextual Notes

Participants mention the delicate nature of the lecture notes and the importance of understanding the contributions of fermions and bosons in the context of SUSY, but there are unresolved details regarding the mathematical steps involved in the radiative corrections.

Who May Find This Useful

This discussion may be useful for undergraduate students studying particle physics, particularly those interested in supersymmetry and the Higgs mechanism.

Cherry_pie
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I'm currently doing a third year project (undergraduate) on supersymmetry, and am slightly confused as to just how the Higgs naturalness problem is solved through adding superparticles to the standard model. I've been advised to include discussion of radiative corrections, which, at most, all i know is they cancel out something which would otherwise send the Higgs mass to infinity. I would like to understand these corrections in greater detail, and be able to explain just how and why this solves the problem. Any help, or even some good links (ive exhausted wikipedia) aimed at people who arent already experts in this field would be greatly appreciated!
 
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Thank you so much :-) I haven't read through it all yet, but it certainly looks like it answers my problems, plus a few others!
 
Cherry_pie said:
Thank you so much :-) I haven't read through it all yet, but it certainly looks like it answers my problems, plus a few others!

yes it is a quite delicate set of lecture notes, better than "A Supersymmetry Primer" http://arxiv.org/abs/hep-ph/9709356

and "Supersymmetry in Elementary Particle Physics" http://arxiv.org/abs/0801.1928

the main point (as you have read i pressume) is that fermion and bosons contribute to the Higgs self-energy with opposite signs, and if we have supersymmetry, the fermions and bosons in SM have partners with opposite spin in SUSY which will contribute with opposite sign and this make \delta m_H^2 almost zero and not \Lambda ^2
 

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