Effective asymptotic safety and its predictive power: Gauge-Yukawa theories
File(s)
Published version
Author(s)
Held, Aaron
Type
Journal Article
Abstract
Effective field theory provides a new perspective on the predictive power of Renormalization
Group fixed points. Critical trajectories between different fixed points confine the regions of
UV-complete, IR-complete, as well as conformal theories. The associated boundary surfaces
cannot be crossed by the Renormalization Group flow of any effective field theory. We delineate
cases in which the boundary surface acts as an infrared attractor for generic effective field
theories. Gauge-Yukawa theories serve as an example that is both perturbative and of direct
phenomenological interest. We identify additional matter fields such that all the observed coupling
values of the Standard Model, apart from the Abelian hypercharge, lie within the conformal
region. We define a quantitative measure of the predictivity of effective asymptotic safety and
demonstrate phenomenological constraints for the associated beyond Standard-Model Yukawa
couplings.
Group fixed points. Critical trajectories between different fixed points confine the regions of
UV-complete, IR-complete, as well as conformal theories. The associated boundary surfaces
cannot be crossed by the Renormalization Group flow of any effective field theory. We delineate
cases in which the boundary surface acts as an infrared attractor for generic effective field
theories. Gauge-Yukawa theories serve as an example that is both perturbative and of direct
phenomenological interest. We identify additional matter fields such that all the observed coupling
values of the Standard Model, apart from the Abelian hypercharge, lie within the conformal
region. We define a quantitative measure of the predictivity of effective asymptotic safety and
demonstrate phenomenological constraints for the associated beyond Standard-Model Yukawa
couplings.
Date Issued
2020-09-30
Date Acceptance
2020-07-22
Citation
Frontiers in Physics, 2020, 8, pp.1-15
ISSN
2296-424X
Publisher
Frontiers Media
Start Page
1
End Page
15
Journal / Book Title
Frontiers in Physics
Volume
8
Copyright Statement
© 2020 Held. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
License URL
Sponsor
The Royal Society
Identifier
https://www.frontiersin.org/articles/10.3389/fphy.2020.00341/full
Grant Number
NIF/R1/191008
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
renormalization group
interacting fixed points
effective field theory
(beyond) standard model physics
asymptotic safety
RENORMALIZATION-GROUP EQUATIONS
QUANTUM-FIELD THEORY
LANDAU POLE PROBLEM
BETA-FUNCTION
STANDARD MODEL
C-THEOREM
TOP MASS
HIGGS
REDUCTION
BEHAVIOR
Publication Status
Published
Article Number
341
Date Publish Online
2020-09-30