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The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
by Álvaro Pastor-Gutiérrez, Jan M. Pawlowski, Manuel Reichert
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Submission summary
| Authors (as registered SciPost users): | Álvaro Pastor Gutiérrez · Jan M. Pawlowski · Manuel Reichert |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2207.09817v3 (pdf) |
| Date accepted: | 2023-07-21 |
| Date submitted: | 2023-03-17 09:35 |
| Submitted by: | Pastor Gutiérrez, Álvaro |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Phenomenological |
Abstract
We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate high-energy regime with electroweak symmetry breaking to strongly correlated QCD in the infrared. All flows are computed with a self-consistent functional renormalisation group approach, using a vertex expansion in the fluctuation fields. In particular, this approach takes care of all physical threshold effects and the respective decoupling of ultraviolet degrees of freedom. Standard Model and gravity couplings and masses are fixed by their experimental low energy values. Importantly, we accommodate for the difference between the top pole mass and its Euclidean analogue. Both, the correct mass determination and the threshold effects have a significant impact on the qualitative properties, and in particular on the stability properties of the specific ultraviolet-infrared trajectory with experimental Standard Model physics in the infrared. We show that in the present rather advanced approximation the matter part of the asymptotically safe Standard Model has the same number of relevant parameters as the Standard Model, and is asymptotically free. This result is based on the novel UV fixed point found in the present work: the fixed point Higgs potential is flat but has two relevant directions. These results and their analysis are accompanied by a thorough discussion of the systematic error of the present truncation, also important for systematic improvements.
List of changes
-Corrected minor typos.
We incorporated all of the referees' suggestions:
->Added a paragraph discussing fixed points with a non-vanishing Yukawa or U(1)-gauge coupling.
->Added a discussion in Sec. 3A on possible directions to improve the Yukawa-gravity sector.
->We have changed the ordering of the discussion of the errors such that the remaining error is discussed last.
->Added a summary of approximations to the Appendix.
->We have improved the description of the error sources to further sustain our estimate.
Published as SciPost Phys. 15, 105 (2023)