Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering

Abstract

We propose a new experiment to measure the running of the fine-structure constant in the space-like region by scattering high-energy muons on atomic electrons of a low-Z target through the process $\mu e\to \mu e$. The differential cross section of this process, measured as a function of the squared momentum transfer $t=q^2<0$, provides direct sensitivity to the leading-order hadronic contribution to the muon anomaly $a_{\mu }^{\mathrm{HLO}}$. By using a muon beam of 150 GeV, with an average rate of $\sim 1.3\times 10^7$ muon/s, currently available at the CERN North Area, a statistical uncertainty of $\sim 0.3\%$ can be achieved on $a_{\mu }^{\mathrm{HLO}}$ after two years of data taking. This direct measurement of $a_{\mu }^{\mathrm{HLO}}$ will provide an independent determination, competitive with the time-like dispersive approach, and consolidate the theoretical prediction for the muon $g$-2 in the Standard Model. It will allow therefore a firmer interpretation of the measurements of the future muon $g$-2 experiments at Fermilab and J-PARC.

8 pages, 4 figures

References in corpus (10)

• The COMPASS Experiment at CERN
• Matching perturbative and Parton Shower corrections to Bhabha process at flavour factories
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• The running fine structure constant alpha(E) via the Adler function
• Leading-order hadronic contribution to the electron and muon g-2
• The relation between the QED charge renormalized in MSbar and on-shell schemes at four loops, the QED on-shell beta-function at five loops and asymptotic contributions to the muon anomaly at five and six loops
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$

Cited by in corpus (110)

• The anomalous magnetic moment of the muon in the Standard Model
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Two-pion contribution to hadronic vacuum polarization
• Three-pion contribution to hadronic vacuum polarization
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• 50 Years of Quantum Chromodynamics
• The muon $g$-2 and $\Delta \alpha$ connection
• Muon g-2 Theory: the Hadronic Part
• Constraints on the two-pion contribution to hadronic vacuum polarization
• The anomalous magnetic moment of the muon in the Standard Model: an update
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Resolving electron and muon $g-2$ within the 2HDM
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ cross section from threshold to 1.2 GeV with the CMD-3 detector
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Theory for muon-electron scattering @ 10ppm: A report of the MUonE theory initiative
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• QED at NNLO with McMule
• Measurement of the pion form factor with CMD-3 detector and its implication to the hadronic contribution to muon (g-2)
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• Probing the muon g-2 anomaly with the Higgs boson at a Muon Collider
• Massive vector form factors to three loops
• Hadronic corrections to $\mu$-$e$ scattering at NNLO with space-like data
• Muon $g-2$: A review
• Understanding the MiniBooNE and the muon and electron $g-2$ anomalies with a light $Z^{\prime }$ and a second Higgs doublet
• Muon-electron scattering at NNLO: the hadronic corrections
• New physics at the MUonE experiment at CERN
• Anomalies in Particle Physics
• The Path to $0.01\%$ Theoretical Luminosity Precision for the FCC-ee
• Small-mass effects in heavy-to-light form factors
• Power-aligned 2HDM: a correlative perspective on $(g-2{)}_{e,\mu }$
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• Muon-electron scattering at NNLO
• Bhabha scattering at NNLO with next-to-soft stabilisation
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• Status of the MUonE experiment
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Towards muon-electron scattering at NNLO
• NNLO virtual and real leptonic corrections to muon-electron scattering
• Muon-electron scattering at NLO
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
• Muon anomalous magnetic moment in the standard model extension
• Summary Report of Physics Beyond Colliders at CERN
• Chiral extrapolation of hadronic vacuum polarization
• The LBK theorem to all orders
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• New physics behind the new muon $g$-2 puzzle?
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• Hadronic vacuum polarization contributions to the muon $g$-2 in the space-like region
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Probing light mediators at the MUonE experiment
• The Mellin-Barnes Approach to Hadronic Vacuum Polarization and $g_{\mu }-2$
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Single ${\pi }^0$ production in $\mu e$ scattering at MUonE
• Probing for chiral $Z^{\prime }$ gauge boson through scattering measurement experiments
• Dark Photons and Displaced Vertices at the MUonE Experiment
• QED challenges at FCC-ee precision measurements
• A study of muon-electron elastic scattering in a test beam
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• The muon g-2 anomaly confronts new physics in $e^{\pm }$ and ${\mu }^{\pm }$ final states scattering
• MUonE, muon $g-2$ and electroweak precision constraints within 2HDMs
• Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
• Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Lepton pair production at NNLO in QED with EW effects
• Multi-level Monte Carlo computation of the hadronic vacuum polarization contribution to $(g_{\mu }-2)$
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Lepton flavor violation by two units
• Lepton pair production in muon-nucleus scattering
• Atomic binding corrections for high energy fixed target experiments
• Results on Multiple Coulomb Scattering from 12 and 20 GeV electrons on Carbon targets
• The interplay between SM precision, BSM physics and measurements of ${\alpha }_{\mathrm{had}}$ in $\mu$-$e$ scattering
• High-energy frontier of the muon g-2 at a muon collider
• Model independent radiative corrections to elastic deuteron-electron scattering
• Multiple soft-photon emission at next-to-leading power to all orders
• Recurrent form of the renormalization group relations for the higher-order hadronic vacuum polarization function perturbative expansion coefficients
• Electroweak effects in polarized muon-electron scattering
• Probing the muon (g-2) anomaly at the LHC in final states with two muons and two taus
• Relativistic elastic scattering of an electron by a muon in the field of a circularly polarized electromagnetic wave
• Hadronic Vacuum Polarization and the MUonE proposal
• Radiative corrections to elastic proton-electron scattering measured in coincidence
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Track finding with deep neural networks
• Implications of the muon anomalous magnetic moment for the LHC and MUonE
• Two-Loop Four-Fermion Scattering Amplitude in QED
• NNLO QED contribution to the $\mu e\to \mu e$ elastic scattering
• Theory for the MUonE experiment
• Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
• Machine learning based event reconstruction for the MUonE experiment
• Performance of a Geometric Deep Learning Pipeline for HL-LHC Particle Tracking
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• From Hadronic Cross Section to the measurement of the Vacuum Polarization at KLOE: a fascinating endeavour
• Lepton flavor violation by three units
• Towards a Fully Automated Differential ${\text{NNLO}}_{\text{EW}}$ Generator for Lepton Colliders
• Charged Lepton Flavor Violation at the High-Energy Colliders: Neutrino Mass Relevant Particles
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• Exploring the tension between nature and the Standard Model: the muon g-2
• Universal structure of radiative QED amplitudes at one loop
• Generalized quantum electrodynamics: one-loop correction
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Towards NNLO corrections to muon-electron scattering
• Remote sensing of tectonic induced stress across faults using high energy muon beams
• On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Status of the MUonE experiment
• Two-to-two processes at an electron-muon collider
• Geometry Optimization of a Muon-Electron Scattering Experiment
• Effective-field theories for charged lepton flavour violation