What is the current status of asymptotic safety?

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Discussion Overview

The discussion centers on the current status of asymptotic safety (AS) in relation to Higgs mass predictions, particularly in light of recent changes in top quark mass estimations. Participants explore whether AS remains a viable framework considering its implications for cosmological constants, dark matter, and other beyond Standard Model phenomena.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants note that there have been multiple Higgs mass predictions, with over 20 compatible with the actual Higgs mass, prompting questions about which specific prediction is being referenced.
  • One participant highlights a specific prediction from Shaposhnikov & Wetterich (2009) regarding the Higgs mass and its assumptions about asymptotic safety and gravity.
  • There is a concern expressed about whether the estimation of the top quark mass has changed and if this affects the validity of the Higgs mass prediction within the AS framework.
  • Some participants inquire about potential tensions between asymptotic safety and other theories or phenomena beyond the Standard Model, such as dark matter and cosmological constants.
  • Several participants reference a FAQ on asymptotic safety, although one points out that the FAQ is outdated and does not address recent developments in mass estimations.
  • A participant shares a relevant paper and an article discussing the renewed interest in asymptotic safety, suggesting it may provide insights into the current state of the theory.

Areas of Agreement / Disagreement

Participants express varying levels of clarity regarding the specific predictions and their implications, and there is no consensus on the current status of asymptotic safety or its compatibility with recent findings.

Contextual Notes

Limitations include the reliance on outdated resources and the need for updated discussions on the implications of recent mass estimations for the feasibility of asymptotic safety.

the_pulp
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Hi everybody, I guess most of you know of the 2009 higgs mass prediction. Nevertheless there has been important changes in the top quark mass estimations. So I wanted to know:
1 if there is any update on that prediction and if it is still in good agreement with the Higgs mass?
2 if there is at least possibility of good agreement with cosmological constant, dark matter, etc.
Just to sum up, if AS is still a possibility or not.

Thanks in advance!
 
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I guess that the two questions were very clear! Does anyone have any feedback?

Thanks in advance
 
There were many Higgs mass predictions, more than one per GeV in the most interesting range, and more than 20 were compatible with the actual Higgs mass.
Which prediction do you mean?
 
• mH = 126.3 ± 2.2 GeV Authors: Shaposhnikov & C. Wetterich (2009) Idea: Assume that gravity is asymptotically safe, that there are no intermediate energy scales between the Fermi and Planck scales, that the gravity induced anomalous dimension of the Higgs selfcoupling is positive. Techniques: renormalisation group flow with mt = 171.2 GeV

I thought it was clear from the title. Sorry!
Anyway, as I think that mt estimation should have changed by now, I was wondering if this sort of prediction still holds.
Also I wanted to know if there is any tension between AS and something else beyond SM (Dark Matter, Cosmological Constant, Inflation, Neutrinos, whatever)

Thanks!
 
Thanks for this response. Nevertheless the FAQ is from 2012 and my question was about impact en the feasibility of AS given the updates (many of them, after 2012) in the estimation of the masses of the Higgs and the Top particles.

Thanks for bringing this thread to life again!
 
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