Mass difference for charged quarks from asymptotically safe quantum gravity

Abstract

We propose a scenario to retrodict the top and bottom mass and the Abelian gauge coupling from first principles in a microscopic model including quantum gravity. In our approximation, antiscreening quantum-gravity fluctuations induce an asymptotically safe fixed point for the Abelian hypercharge leading to a uniquely fixed infrared value that is observationally viable for a particular choice of microscopic gravitational parameters. The unequal quantum numbers of the top and bottom quark lead to different fixed-point values for the top and bottom Yukawa under the impact of gauge and gravity fluctuations. This results in a dynamically generated mass difference between the two quarks. To work quantitatively, the preferred ratio of electric charges of bottom and top in our approximation lies in close vicinity to the Standard-Model value of $Q_b/Q_t=-1/2$.

arXiv commentcomments added; version identical with published one

References in corpus (40)

• Exact evolution equation for the effective potential
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Investigating the near-criticality of the Higgs boson
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Fixed points of quantum gravity
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Asymptotic safety of gravity and the Higgs boson mass
• Quantum Einstein Gravity
• Asymptotic safety in higher-derivative gravity
• Matter matters in asymptotically safe quantum gravity
• Asymptotically Safe Lorentzian Gravity
• Asymptotic safety of gravity-matter systems
• Gravitational Correction to Running of Gauge Couplings
• Renormalization Group Flow in Scalar-Tensor Theories. I
• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• QED coupled to QEG
• Towards apparent convergence in asymptotically safe quantum gravity
• Top mass from asymptotic safety
• Quantum Gravity at Astrophysical Distances?
• One force to rule them all: asymptotic safety of gravity with matter
• Asymptotic freedom of Yang-Mills theory with gravity
• Asymptotic safety of quantum gravity beyond Ricci scalars
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Gravitational corrections to Yukawa systems
• An asymptotically safe solution to the U(1) triviality problem
• Quantum-gravity effects on a Higgs-Yukawa model
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Curvature dependence of quantum gravity
• Viability of quantum-gravity induced ultraviolet completions for matter
• Quantum gravity and Standard-Model-like fermions
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Correlation functions on a curved background
• Nonminimal hints for asymptotic safety
• Gravitational Corrections to Yukawa and Phi^4 Interactions
• Asymptotic solutions in asymptotic safety
• Quantum-gravity predictions for the fine-structure constant

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• The nonperturbative functional renormalization group and its applications
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• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
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• Minimal models for $g-2$ and dark matter confront asymptotic safety
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• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• On the impact of Majorana masses in gravity-matter systems
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe Gravity with Fermions
• 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
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Flavor anomalies from asymptotically safe gravity
• From quantum gravity to gravitational waves through cosmic strings
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Asymptotic freedom and safety in quantum gravity
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• Are there ALPs in the asymptotically safe landscape?
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• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
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• Scaling solutions for asymptotically free quantum gravity
• Towards a Higgs mass determination in asymptotically safe gravity with a dark portal
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• Asymptotically Safe Gravity-Fermion systems on curved backgrounds
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