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Measuring the leading hadronic contribution to the muon g-2 via $\mu\,e$ scattering
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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 $a^{\rm{HLO}}_{\mu}$. By using a muon beam of 150 GeV, with an average rate of $\sim1.3\times 10^7$ muon/s, currently available at the CERN North Area, a statistical uncertainty of $\sim 0.3\%$ can be achieved on $a^{\rm{HLO}}_{\mu}$ after two years of data taking. This direct measurement of $a^{\rm{HLO}}_{\mu}$ 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.
Forward citations
Cited by 7 Pith papers
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Towards testing $(g-2)_\tau$ in $e^+e^-\to\tau^+\tau^-$: radiative corrections and projections for Belle II
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Muon lifetime and Fermi constant: an update
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
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The role of Pad\'e and D-Log Pad\'e approximants in the context of the MUonE Experiment
Pade and D-Log approximants recover the hadronic vacuum polarization contribution to the muon anomalous magnetic moment from simulated MUonE data to within 0.06%.
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The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
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Experimental Measurements of the Muon $g-2$ and Searches for Charged Lepton Flavor Violation in the Muon Sector
A proceedings review summarizing the Fermilab muon g-2 measurements and the MEG-II, Mu3e, COMET, and Mu2e charged lepton flavor violation searches, with no new results or analyses.
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