Constraints on $Z^{\prime }$ solutions to the flavor anomalies with trans-Planckian asymptotic safety

Abstract

Motivated by the flavor anomalies in $b\to s$ transitions, we embed minimal models with a $Z^{\prime }$ gauge boson, vector-like fermions, and a singlet scalar in the framework of trans-Planckian asymptotic safety. The presence of a fixed point in the renormalization group flow of the models' parameters leads to predictions for the $\gamma /Z^{\prime }$ kinetic mixing, the New Physics Yukawa couplings, and the quartic couplings of the scalar potential. We derive the constraint on the kinetic mixing from the most recent high-mass dilepton resonance searches at the LHC, showing that this bound is often inescapable in this framework, unless the U(1) charges conspire to forbid the radiative generation of kinetic mixing. In the latter case, the parameter space consistent with the flavor anomalies can still be probed in depth by direct LHC searches for heavy vector-like quarks and leptons. We derive the current exclusion bounds and projections for future high-luminosity runs.

42 pages, 5 figures, 4 tables. Added Appendix D on an asymptotically safe extension with dark matter and neutrino masses. Matches published version

References in corpus (32)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Exact evolution equation for the effective potential
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Automatic Calculation of supersymmetric Renormalization Group Equations and Self Energies
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Sterile neutrinos, dark matter, and the pulsar velocities in models with a Higgs singlet
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• Dark-matter sterile neutrinos in models with a gauge singlet in the Higgs sector
• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• Asymptotically Safe Lorentzian Gravity
• Asymptotic safety in the f(R) approximation
• Top mass from asymptotic safety
• Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• $b\to s\ell \ell$ Global Fits after $R_{K_S}$ and $R_{K^{\ast +}}$
• Lessons from the $B^{0,+}\to K^{\ast 0,+}{\mu }^{+}{\mu }^{-}$ angular analyses
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Quantum gravity and charge renormalization
• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Cosmological constant and quantum gravitational corrections to the running fine structure constant
• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• Constraining power of asymptotic safety for scalar fields
• Minimal models for $g-2$ and dark matter confront asymptotic safety
• Sterile Neutrino Dark Matter and Low Scale Leptogenesis from a Charged Scalar
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
• Asymptotic safety and gauged baryon number
• Anomalies in B mesons decays: A phenomenological approach
• Renormalization Group Equations for the CKM matrix

Cited by in corpus (8)

• From quantum gravity to gravitational waves through cosmic strings
• Asymptotically safe dark matter with gauged baryon number
• Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
• How robust are particle physics predictions in asymptotic safety?
• Perturbative Asymptotic Safety and Its Phenomenological Applications
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Stabilizing dark matter with quantum scale symmetry