Chamseddine/Connes new paper on noncommutative geometry standard model

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SUMMARY

The recent paper by Chamseddine and Connes presents a significant correction to the predicted Higgs mass in the Spectral Standard Model, adjusting it from 170 GeV to 125 GeV. This adjustment arises from the identification of a previously omitted term in the equations. The discussion also references an update from Estrada and Marcolli, which proposes a realistic Higgs mass estimate using renormalization group equations, challenging the necessity of adding a scalar field as suggested in the Chamseddine and Connes paper. The relevance of the noncommutative geometry (NCG) standard model is under scrutiny, with questions about its validity and implications for future research.

PREREQUISITES
  • Understanding of noncommutative geometry (NCG)
  • Familiarity with the Standard Model of particle physics
  • Knowledge of Higgs boson mass predictions
  • Basic grasp of renormalization group equations
NEXT STEPS
  • Investigate the implications of the Chamseddine and Connes paper on the Spectral Standard Model
  • Explore the concept of asymptotic safety in quantum field theories
  • Study hypergeometric functions and their applications in theoretical physics
  • Review the role of scalar fields in particle physics models
USEFUL FOR

Physicists, researchers in theoretical physics, and anyone interested in the intersection of noncommutative geometry and particle physics, particularly those focused on Higgs mass predictions and the Standard Model.

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What do you make of this recent paper of Chamseddine and Connes?

Resilience of the Spectral Standard Model

The version of the Standard Model based on a product of the spacetime manifold with a finite noncommutative space had previously predicted a Higgs mass of 170 GeV. Supposedly this paper presents a correction to this calculation that obtains 125 GeV, claiming that essentially a term was left out of the equation to produce 170 GeV that shouldn't have been. I am no expert on this topic though (I like noncommutative geometry but haven't gotten around to learning this specific application of it), so I am wondering if anyone has digested this paper enough to know whether this makes the NCG standard model relevant again or if it is just a trick to obtain the desired Higgs mass.

Alain Connes also made a short blogpost here about the paper.
 
Physics news on Phys.org
An update on this from Estrada and Marcolli

Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models

I am surprised that I did not notice this paper sooner. This claims to achieve a realistic Higgs mass estimate using renormalization group equations instead of adding a scalar field to the model as in the Chamseddine Connes paper. Except, in the CC paper, they claim that the scalar field was already in the model, but was previously ignored. But again, I am not sophisticated enough to say much about it. Can anyone make sense of this?
 

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