Variable Planck mass from the gauge invariant flow equation

Abstract

Using the gauge invariant flow equation for quantum gravity we compute how the strength of gravity depends on the length or energy scale. The fixed point value of the scale-dependent Planck mass in units of the momentum scale has an important impact on the question, which parameters of the Higgs potential can be predicted in the asymptotic safety scenario for quantum gravity? For the standard model and a large class of theories with additional particles the quartic Higgs coupling is an irrelevant parameter at the ultraviolet fixed point. This makes the ratio between the Higgs boson and the top-quark mass predictable.

arXiv comment43 pages, 11 figures, version published in PRD

References in corpus (83)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Optimisation of the exact renormalisation group
• Exact Renormalization Group Equations. An Introductory Review
• Asymptotic safety of gravity and the Higgs boson mass
• Quantum Einstein Gravity
• An Introduction to the Nonperturbative Renormalization Group
• Asymptotic safety in higher-derivative gravity
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Introduction to the functional RG and applications to gauge theories
• Flow Equations for N Point Functions and Bound States
• Fundamentals of the Exact Renormalization Group
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
• Matter matters in asymptotically safe quantum gravity
• The Running Gravitational Couplings
• Lectures on the functional renormalization group method
• Asymptotic Safety of Gravity Coupled to Matter
• Further evidence for asymptotic safety of quantum gravity
• Elements of the Continuous Renormalization Group
• Contraints on Matter from Asymptotic Safety
• Taming perturbative divergences in asymptotically safe gravity
• Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Asymptotic safety of gravity-matter systems
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Renormalization Group Flow in Scalar-Tensor Theories. I
• Local Quantum Gravity
• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• QED coupled to QEG
• Towards apparent convergence in asymptotically safe quantum gravity
• Search of scaling solutions in scalar-tensor gravity
• Global Flows in Quantum Gravity
• One force to rule them all: asymptotic safety of gravity with matter
• Asymptotic freedom of Yang-Mills theory with gravity
• Quantum gravity on foliated spacetime - asymptotically safe and sound
• Asymptotic safety of quantum gravity beyond Ricci scalars
• Renormalization group fixed points of foliated gravity-matter systems
• Light fermions in quantum gravity
• An asymptotically safe solution to the U(1) triviality problem
• Matter Induced Bimetric Actions for Gravity
• Aspects of asymptotic safety for quantum gravity
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Quantum-gravity-induced matter self-interactions in the asymptotic-safety scenario
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Curvature dependence of quantum gravity
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Asymptotic safety in $O(N)$ scalar models coupled to gravity
• Asymptotic safety in an interacting system of gravity and scalar matter
• Quantum gravity and Standard-Model-like fermions
• Chiral fermions in asymptotically safe quantum gravity
• How perturbative is quantum gravity?
• Consistent closure of renormalization group flow equations in quantum gravity
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Higgs scalar potential in asymptotically safe quantum gravity
• Effective average action in statistical physics and quantum field theory
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Effective universality in quantum gravity
• Zooming in on fermions and quantum gravity
• Dilaton Quantum Gravity
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
• Functional renormalization with fermions and tetrads
• Graviton fluctuations erase the cosmological constant
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Scaling solutions for Dilaton Quantum Gravity
• Further Evidence for a Gravitational Fixed Point
• Spinors in euclidean field theory, complex structures and discrete symmetries
• Gauge-invariant fields and flow equations for Yang-Mills theories
• On the impact of Majorana masses in gravity-matter systems
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Four-Derivative Quantum Gravity Beyond Perturbation Theory
• Infrared limit of quantum gravity
• Quantum correlations for the metric
• RG flow equations for the proper-vertices of the background effective average action
• BRST invariant RG flows
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• Mixing internal and spacetime transformations: some examples and counterexamples

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• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
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• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Asymptotic safety of gravity, the Higgs boson mass and beyond the Standard Model physics
• Predictive power of grand unification from quantum gravity
• Scalegenesis and fermionic dark matters in the flatland scenario
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• From quantum gravity to gravitational waves through cosmic strings
• Exploring new corners of asymptotically safe unimodular quantum gravity
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• Cosmological constant problem: deflation during inflation
• Are there ALPs in the asymptotically safe landscape?
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• Fractal geometry of higher derivative gravity
• Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
• Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
• Cosmology from pregeometry
• Constraints on discrete global symmetries in quantum gravity
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Primordial flat frame -- a new view on inflation
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Spacetime and Planck mass generation from scale-invariant degenerate gravity
• Effective scalar potential in asymptotically safe quantum gravity
• Scaling solution for field-dependent gauge couplings in quantum gravity
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Towards a Higgs mass determination in asymptotically safe gravity with a dark portal
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Scaling solutions for asymptotically free quantum gravity
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Stabilizing dark matter with quantum scale symmetry
• Indications against dynamical CPT symmetry restoration in quantum gravity
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
• Coarse-graining of the Einstein-Hilbert Action rewritten by the Fisher information metric