Muon anomalous magnetic moment in the standard model extension

Abstract

We consider the standard model extension to explore the anomalous magnetic dipole moment of the muon. In the QED part of the theory for the CP and CPT-even Lorentz parameter $c_{\mu \nu }$, all independent electromagnetic form factors depend on a new scalar as $p^{\prime }.c.p$. Therefore, the form factors, even in zero momentum transfer, can be energy dependent. We examine the magnetic form factor to find such an energy dependent up to the one loop level at the leading order of $c_{\mu \nu }$. We show that at the high energy limit (but low enough to satisfy $p^2/m^2\ll 1$) there is an enhancement on the muon anomalous magnetic moment. For the first time, we find a bound on the $c_{\mu \nu }$ components for the muon as $[c_{TT}+0.35(c_{XX}+c_{YY})+0.28c_{ZZ}]$, which is about $10^{-11}$ in a terrestrial experiment

arXiv comment21 pages, 1 figure,1 table, and to appear in PRD

References in corpus (66)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Noncommutative Field Theory and Lorentz Violation
• Complete Tenth-Order QED Contribution to the Muon g-2
• (g-2)_mu and alpha(M_Z^2) re-evaluated using new precise data
• CPT Violation Implies Violation of Lorentz Invariance
• The Muon Anomalous Magnetic Moment: A Harbinger For "New Physics"
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Muon g-2: Review of Theory and Experiment
• Electroweak corrections to the muon anomalous magnetic moment
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Cross Sections and Lorentz Violation
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Probing Lorentz and CPT violation with space-based experiments
• Muonic hydrogen and MeV forces
• Lorentz-violating spinor electrodynamics and Penning traps
• $(g-2{)}_{\mu }$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects
• GUT-inspired SUSY and the muon g-2 anomaly: prospects for LHC 14 TeV
• Searching for Traces of Planck-Scale Physics with High Energy Neutrinos
• Testing the Muon g-2 Anomaly at the LHC
• Laboratory tests of Lorentz and CPT symmetry with muons
• Generation of circular polarization of the CMB
• Muon g-2 vs LHC in Supersymmetric Models
• CPT Violation Does Not Lead to Violation of Lorentz Invariance and Vice Versa
• Testing the equivalence principle and Lorentz invariance with PeV neutrinos from blazar flares
• Lepton flavour violation in The Little Higgs model
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Enhanced violation of the Lorentz invariance and Einstein's equivalence principle in nuclei and atoms
• Muon $g-2$ in the Aligned Two Higgs Doublet Model
• Muon anomalous magnetic moment and the heavy photon in a little Higgs model
• Probing the MSSM explanation of the muon g-2 anomaly in dark matter experiments and at a 100 TeV $pp$ collider
• Search for violations of Lorentz invariance and $CPT$ symmetry in $B_{(s)}^0$ mixing
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Limits on the Neutrino Velocity, Lorentz Invariance, and the Weak Equivalence Principle with TeV Neutrinos from Gamma-Ray Bursts
• Probing minimal SUSY scenarios in the light of muon $g-2$ and dark matter
• Measurement of Muon Antineutrino Oscillations with an Accelerator-Produced Off-Axis Beam
• The Muon g-2 experiment at Fermilab
• Design and performance of SiPM-based readout of PbF2 crystals for high-rate, precision timing applications
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Upper bounds on sparticle masses from muon g-2 and the Higgs mass and the complementarity of future colliders
• Supersymmetric contributions to muon g-2 and the electroweak precision measurements
• Tests of CPT and Lorentz symmetry from muon anomalous magnetic dipole moment
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
• New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions
• Neutrinos in Extra Dimensions and the Anomalous Magnetic Moments of Leptons
• Cherenkov Radiation with Massive, CPT-violating Photons
• Constraining Natural SUSY via the Higgs Coupling and the Muon Anomalous Magnetic Moment Measurements
• Changes in extensive air showers from isotropic Lorentz violation in the photon sector
• Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
• Particle phenomenology on noncommutative spacetime
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Electron beam test of key elements of the laser-based calibration system for the muon $g$ $-$ $2$ experiment
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Noncommutative QED and Muon Anomalous Magnetic Moment
• Muon anomalous magnetic moment in a Calculable Model with one Extra Dimension
• Lorentz-violating effects on pair production of W bosons in photon collisions
• A spectre is haunting the cosmos: Quantum stability of massive gravity with ghosts
• Charged lepton electric dipole moment enhancement in the Lorentz violated extension of the standard model
• Noncommutative magnetic moment, fundamental length and lepton size
• Muon g-2 through a flavor structure on soft SUSY terms
• Muon anomalous magnetic moment and penguin loops in warped extra dimensions
• A test of local Lorentz invariance with Compton scattering asymmetry

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• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
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• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector