Leading Logs in QCD Axion Effective Field Theory

Abstract

The axion is much lighter than all other degrees of freedom introduced by the Peccei-Quinn mechanism to solve the strong CP problem. It is therefore natural to use an effective field theory (EFT) to describe its interactions. Loop processes calculated in the EFT may, however, explicitly depend on the ultraviolet cutoff. In general the UV cutoff is not uniquely defined, but the dimensionful couplings suggest to identify it with the Peccei-Quinn symmetry-breaking scale. An example are $K\to \pi +a$ decays that will soon be tested to improved precision in NA62 and KOTO and whose amplitude is dominated by the term logarithmically dependent on the cutoff. In this paper, we critically examine the adequacy of using such a naive EFT approach to study loop processes by comparing EFT calculations with ones performed in complete QCD axion models. In DFSZ models, for example, the cutoff is found to be set by additional Higgs degrees of freedom and to therefore be much closer to the electroweak scale than to the Peccei-Quinn scale. In fact, there are non-trivial requirements on axion models where the cutoff scale of loop processes is close to the Peccei-Quinn scale, such that the naive EFT result is reproduced. This suggests that the existence of a suitable UV embedding may impose restrictions on axion EFTs. We provide an explicit construction of a model with suitable fermion couplings and find promising prospects for NA62 and IAXO.

arXiv comment28 pages + appendices. v3: revised text, main results unchanged

References in corpus (109)

• Weak Decays Beyond Leading Logarithms
• Dimension-Six Terms in the Standard Model Lagrangian
• New CAST Limit on the Axion-Photon Interaction
• WISPy Cold Dark Matter
• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• The QCD axion, precisely
• New experimental approaches in the search for axion-like particles
• FLAG Review 2019
• Exploring the String Axiverse with Precision Black Hole Physics
• The role of sterile neutrinos in cosmology and astrophysics
• The landscape of QCD axion models
• A Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
• Measurement of the permanent electric dipole moment of the neutron
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Astrophysical Axion Bounds
• Discovering the QCD Axion with Black Holes and Gravitational Waves
• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• The String Landscape and the Swampland
• Supernova 1987A Constraints on Sub-GeV Dark Sectors, Millicharged Particles, the QCD Axion, and an Axion-like Particle
• Revisiting the bound on axion-photon coupling from Globular Clusters
• Extended Search for the Invisible Axion with the Axion Dark Matter Experiment
• Collider Probes of Axion-Like Particles
• Dielectric Haloscopes: A New Way to Detect Axion Dark Matter
• Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
• Broadband and Resonant Approaches to Axion Dark Matter Detection
• TikZ-Feynman: Feynman diagrams with TikZ
• Probing MeV to 90 GeV axion-like particles with LEP and LHC
• Cosmological bounds on pseudo Nambu-Goldstone bosons
• Complete Electroweak Chiral Lagrangian with a Light Higgs at NLO
• The Effective Chiral Lagrangian for a Light Dynamical "Higgs Particle"
• ALPs Effective Field Theory and Collider Signatures
• Revised constraints and Belle II sensitivity for visible and invisible axion-like particles
• Analysis of Neutral Higgs-Boson Contributions to the Decays B_s -> l^+l^- and B -> K l^+l^-
• Searching for WISPy Cold Dark Matter with a Dish Antenna
• Searching for axion-like particles with ultra-peripheral heavy-ion collisions
• Physics potential of the International Axion Observatory (IAXO)
• The Beam and detector of the NA62 experiment at CERN
• A taste of dark matter: Flavour constraints on pseudoscalar mediators
• New measurement of the K+ => pi+,nu,nubar branching ratio
• Flaxion: a minimal extension to solve puzzles in the standard model
• Evidence for light-by-light scattering and searches for axion-like particles in ultraperipheral PbPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Improved axion emissivity from a supernova via nucleon-nucleon bremsstrahlung
• Dark Matter and Background Light
• The Chiral Approach to the Electroweak Interactions
• ALPtraum: ALP production in proton beam dump experiments
• The Low-Energy Effective Theory of Axions and ALPs
• The Axiflavon
• Where to find a dark matter sterile neutrino?
• Results from a High-Sensitivity Search for Cosmic Axions
• LHC probes the hidden sector
• Cool WISPs for stellar cooling excesses
• Axion and neutrino bounds improved with new calibrations of the tip of the red-giant branch using geometric distance determinations
• Quark Flavor Phenomenology of the QCD Axion
• Stellar Recipes for Axion Hunters
• Radio Signals from Axion Dark Matter Conversion in Neutron Star Magnetospheres
• Search for $K_L\to {\pi }^0\nu \overline{\nu }$ and $K_L\to {\pi }^0{X}^0$ Decays at the J-PARC KOTO Experiment
• Revisiting the axion bounds from the Galactic white dwarf luminosity function
• A New Flavor of Searches for Axion-Like Particles
• Is there a supernova bound on axions?
• Hunting for ALPs with Lepton Flavor Violation
• B physics Beyond the Standard Model at One Loop: Complete Renormalization Group Evolution below the Electroweak Scale
• Multi-lepton Signatures of a Hidden Sector in Rare B Decays
• Factoring the Strong CP Problem
• A 3.55 keV hint for decaying axion-like particle dark matter
• B_{s,d} -> l+ l- in a Two-Higgs-Doublet Model
• New LHC bound on low-mass diphoton resonances
• ALPs at FASER: The LHC as a Photon Beam Dump
• Color Unifed Dynamical Axion
• Running in the ALPs
• A Telescope Search for Decaying Relic Axions
• Axion dark matter in the post-inflationary Peccei-Quinn symmetry breaking scenario
• Green Bank and Effelsberg Radio Telescope Searches for Axion Dark Matter Conversion in Neutron Star Magnetospheres
• Flavor constraints on electroweak ALP couplings
• A viable QCD axion in the MeV mass range
• Axion Searches with Microwave Filters: the RADES project
• Constraining the Axion Portal with B -> K l+ l-
• High angular resolution ALMA images of dust and molecules in the SN 1987A ejecta
• Search for Axion-Like Particles produced in $e^{+}{e}^{-}$ collisions at Belle II
• Expression of Interest for the CODEX-b Detector
• Detecting the Stimulated Decay of Axions at Radio Frequencies
• Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb${}^{-1}$ of Pb+Pb data with the ATLAS detector
• $K\to \pi$ semileptonic form factors with $N_f=2+1+1$ Twisted Mass fermions
• Cornering the axion with CP-violating interactions
• Heavy Axion Opportunities at the DUNE Near Detector
• Looking for Axion Dark Matter in Dwarf Spheroidals
• Axion couplings to electroweak gauge bosons
• Hunting Dark Matter Gamma-Ray Lines with the Fermi LAT
• The Axion Mass from 5D Small Instantons
• NS 1987A in SN 1987A
• Model-independent bounds on light pseudoscalars from rare B-meson decays
• Axion-like Particles at Future Neutrino Experiments: Closing the "Cosmological Triangle"
• An Antenna for Directional Detection of WISPy Dark Matter
• Minimal Flavor Violation with Axion-like Particles
• On the interplay between astrophysical and laboratory probes of MeV-scale axion-like particles
• Revisiting the production of ALPs at B-factories
• Light in the beam dump -- ALP production from decay photons in proton beam-dumps
• Invisible decays of axion-like particles: constraints and prospects
• 2HDM Neutral Scalars under the LHC
• Axions are blind to anomalies
• Ultralight scalars in leptonic observables
• Precision calculation of the axion-nucleon coupling in chiral perturbation theory
• A Conjecture on the Minimal Size of Bound States
• Explore the Axion Dark Matter through the Radio Signals from Magnetic White Dwarf Stars
• The KLASH Proposal
• The Neutron EDM in the SM : A Review
• The NA62 experiment at CERN: status and perspectives
• KLEVER: An experiment to measure BR($K_L\to {\pi }^0\nu \bar{\nu }$) at the CERN SPS
• Search for a feebly interacting particle $X$ in the decay $K^{+}\to {\pi }^{+}X$
• High Scale Validity of the DFSZ Axion Model with Precision

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• Flavor probes of axion-like particles
• Charming ALPs
• ALPINIST: Axion-Like Particles In Numerous Interactions Simulated and Tabulated
• Precision axion physics with running axion couplings
• A global analysis of axion-like particle interactions using SMEFT fits
• Unitarity constraints on ALP interactions
• Renormalization group effects in astrophobic axion models
• Reconstructing axion-like particles from beam dumps with simulation-based inference
• $B\to K+\text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions