Charting the new physics through one-loop effects in the muon magnetic dipole moment

Abstract

Since the announcement of the muon $g-2$ measurements, numerous studies have been devoted to exploring the new physics through this precision probe. In specific models, the new physics contributions depend on the couplings and mass scales. Approximate formulae are widely adopted when determining the new physics contributions. This manuscript is dedicated to comprehensive analytical results and approximations for the canonical interactions at one-loop level, which is universal for the spin-half fermions and can serve as a useful reference for the magnetic dipole moment calculations. We present the analytic and approximate expressions for the scalar and vector mediator cases, supplemented by explicit examples in specific models to illustrate their applications. For given muon interactions, we can estimate both the sign and magnitude of the contributions conveniently. Furthermore, we investigate the broader physical implications of these results, offering insights into potential new physics.

77 pages, 1 captioned figure, 6 tables. Match the published version in European Physical Journal Plus. Title changed, typos corrected, references added, presentation improved. Suggestions and comments are welcome!

References in corpus (64)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Dimension-Six Terms in the Standard Model Lagrangian
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• New Developments in FeynCalc 9.0
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Secluded U(1) below the weak scale
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• FeynCalc 9.3: New features and improvements
• Physics of leptoquarks in precision experiments and at particle colliders
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• The Muon Anomalous Magnetic Dipole Moment in the Minimal Supersymmetric Standard Model
• Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry
• Collider Probes of Axion-Like Particles
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• Muon anomalous magnetic dipole moment in supersymmetric theories
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• Threshold cusps and triangle singularities in hadronic reactions
• Muon g-2: Review of Theory and Experiment
• Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
• Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
• The Muon Magnetic Moment and Supersymmetry
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
• Evidence for Higgs boson decay to a pair of muons
• A search for the dimuon decay of the Standard Model Higgs boson with the ATLAS detector
• The anomalous magnetic moment of the muon in the Standard Model: an update
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• Searching for observable effects induced by anomalous triangle singularities
• Top quark spin correlations and polarization at the LHC: standard model predictions and effects of anomalous top chromo moments
• Consequences of chirally enhanced explanations of $(g-2{)}_{\mu }$ for $h\to \mu \mu$ and $Z\to \mu \mu$
• Effective field theory interpretation of lepton magnetic and electric dipole moments
• Testing the Muon g-2 Anomaly at the LHC
• Minimal Models for Dark Matter and the Muon g-2 Anomaly
• Massive vectors and loop observables: the $g-2$ case
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• The tau weak-magnetic dipole moment
• An effective lagrangian description of charged Higgs decays H^+ -> Wg, WZ and Wh
• Search for anomalous weak dipole moments of the tau lepton
• A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies
• Searching for Weak Singlet Charged Scalar at the Large Hadron Collider
• Charged Higgs Bosons decays H^\pm \to W^\pm (γ, Z) revisited
• Searching for the $W\gamma$ decay of a charged Higgs boson
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Muon $g-2$ anomaly and non-locality
• Confronting spin-3/2 and other new fermions with the muon g-2 measurement
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly
• Probing Dark Matter Electromagnetic Properties in Direct Detection Experiments
• Post-Newtonian effects of Dirac particle in curved spacetime - II : the electron g-2 in the Earth's gravity
• The general relativistic effects to the magnetic moment in the Earth's gravity
• Post-Newtonian effects of Dirac particle in curved spacetime - III : the muon g-2 in the Earth's gravity
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Scalar leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly: bottom partner chiral enhancement case
• Oblique corrections from triplet quarks
• The top quark chromomagnetic dipole moment in the SM from the 4-body vertex function
• Muon $g-2$ Anomaly from a Massive Spin-2 Particle
• Hybrid Type-II and Type-III seesaw model for the muon $g-2$ anomaly