Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment

Abstract

The Muon g-2 Experiment at Fermi National Accelerator Laboratory (FNAL) has measured the muon anomalous precession frequency ${\omega }_a$ to an uncertainty of 434 parts per billion (ppb), statistical, and 56 ppb, systematic, with data collected in four storage ring configurations during its first physics run in 2018. When combined with a precision measurement of the magnetic field of the experiment's muon storage ring, the precession frequency measurement determines a muon magnetic anomaly of $a_{\mu }(\mathrm{FNAL})=116592040(54)\times 10^{-11}$ (0.46 ppm). This article describes the multiple techniques employed in the reconstruction, analysis and fitting of the data to measure the precession frequency. It also presents the averaging of the results from the eleven separate determinations of ω_a, and the systematic uncertainties on the result.

arXiv comment29 pages, 19 figures. Published in Physical Review D

References in corpus (33)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Measurement of the fine-structure constant as a test of the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Muon (g-2) Technical Design Report
• Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab
• Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
• Studies of an array of PbF2 Cherenkov crystals with large-area SiPM readout
• Information and treatment of unknown correlations in the combination of measurements using the BLUE method
• Design and performance of SiPM-based readout of PbF2 crystals for high-rate, precision timing applications
• Electron beam test of key elements of the laser-based calibration system for the muon $g$ $-$ $2$ experiment
• The laser-based gain monitoring system of the calorimeters in the Muon $g-2$ experiment at Fermilab
• Performance of the Muon $g-2$ calorimeter and readout systems measured with test beam data

Cited by in corpus (91)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
• Search for chargino--neutralino pair production in final states with three leptons and missing transverse momentum in $\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector
• Magnetic Field Measurement and Analysis for the Muon g-2 Experiment at Fermilab
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Search for charginos and neutralinos in final states with two boosted hadronically decaying bosons and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Beam dynamics corrections to the Run-1 measurement of the muon anomalous magnetic moment at Fermilab
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Probing the muon g-2 anomaly with the Higgs boson at a Muon Collider
• Tau Neutrinos in the Next Decade: from GeV to EeV
• Muonic Force Behind Flavor Anomalies
• Muon $g-2$: A review
• Observation of the $\gamma \gamma \to \tau \tau$ process in Pb+Pb collisions and constraints on the $\tau$-lepton anomalous magnetic moment with the ATLAS detector
• Towards testing the magnetic moment of the tau at one part per million
• On the significance of new physics in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Spin-dependent exotic interactions
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• Type-X two Higgs doublet model in light of the muon $\mathbf{g}-2$: confronting Higgs and collider data
• CDF $W$ boson mass and muon $g-2$ in type-X two-Higgs-doublet model with a Higgs-phobic light pseudoscalar
• The Simplest and Most Predictive Model of Muon $g-2$ and Thermal Dark Matter
• Electron and muon magnetic moments and implications for dark matter and model characterisation in non-universal $U(1{)}^{\prime }$ supersymmetric models
• The new $(g-2{)}_{\mu }$ result and the $\mu \nu$SSM
• Chiral extrapolation of hadronic vacuum polarization
• Comprehensive Symmetric-Hybrid ring design for pEDM experiment at below $10^{-29}e\cdot$cm
• New physics behind the new muon $g$-2 puzzle?
• Science Case for the new High-Intensity Muon Beams HIMB at PSI
• Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism
• Muon and Electron $(g-2)$ Anomalies with Non-Holomorphic Interactions in MSSM
• A 2HDM for the g-2 and Dark Matter
• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Muon g-2 and a type-X two Higgs doublet scenario: some studies in high-scale validity
• A Custodial Symmetry for Muon g-2
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region
• FeynGrav 2.0
• Magnetic Moments of Leptons, Charged Lepton Flavor Violations and Dark Matter Phenomenology of a Minimal Radiative Dirac Neutrino Mass Model
• Towards an independent determination of muon g-2 from muonium spectroscopy
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• Fresh look at the LHC limits on scalar leptoquarks
• Muon anomalous magnetic dipole moment in the $\mu \nu$SSM
• Generalized 2HDM with wrong-sign lepton Yukawa coupling, in light of $g_{\mu }-2$ and lepton flavor violation at the future LHC
• Muon g-2 and a Geocentric New Field
• The new $(g-2{)}_{\mu }$ and Right-Handed Sneutrino Dark Matter
• Soft gluon fields and anomalous magnetic moment of muon
• Speeding Up Squeezing with a Periodically Driven Dicke Model
• Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly
• Signals of a New Gauge Boson from IceCube and Muon $g-2$
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Investigation of $(g-2{)}_{\mu }$ anomaly in the $\mu$-specific 2HDM with Vector like leptons and the phenomenological implications
• The fast non-ferric kicker system for the Muon $g-2$ Experiment at Fermilab
• High-energy frontier of the muon g-2 at a muon collider
• Experimental constraints on the neutrino and gauge parameters of the super-weak U(1) extension of the standard model
• The Straw Tracking Detector for the Fermilab Muon $g-2$ Experiment
• Scalar dark matter and Muon $g-2$ in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Gauging lepton flavor SU(3) for the muon $g-2$
• Fully Collective Superradiant Lasing with Vanishing Sensitivity to Cavity Length Vibrations
• Conserved quantities of vectorial magnitudes within the material media
• Revisiting the Scalar Leptoquark ($S_1$) Model with the Updated Leptonic Constraints
• Analytical Estimations of the Chromaticity and Corrections to the Spin Precession Frequency in Weak Focusing Magnetic Storage Rings
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle
• QCD parameters and SM-high precision from $e^{+}{e}^{-}$ to Hadrons: Updated
• Muon g-2, Long-Range Muon Spin Force, and Neutrino Oscillations
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• The precision measurement of the W boson mass and its impact on physics
• A very high energy hadron collider on the Moon
• Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• Leptonic probes of Alternative Left-Right Symmetric Models
• Supersymmetry : A decade after Higgs discovery
• Search for sub-GeV Scalars in $e^{+}{e}^{-}$ collisions
• Dark Matter Internal Pair Production -- A Novel Direct Detection Mechanism
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Right-handed neutrinos, domain walls and tadpoles in the superstring inspired $\mu \nu$SSM
• Current-readout technique for ultra-high-rate experiments
• Neutron decay into a Dark Sector via Leptoquarks
• Testing the Fifth Force on Lepton Spins through Neutrino Oscillations
• Methodology to determine the spin-parity of muon-philic $X$ boson in $J/\psi \to {\mu }^{-}{\mu }^{+}X$ decay
• Searching for Gluino LSP at the LHC
• Searching for stop LSP at the LHC
• Relativistic entanglement in muon decay