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

, , , , , , , , , , and .
(2016)cite arxiv:1609.08987Comment: 8 pages, 4 figures.
DOI: 10.1140/epjc/s10052-017-4633-z

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 $e e$. 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 $a^HLO_\mu$. By using a muon beam of 150 GeV, with an average rate of $\sim1.310^7$ muon/s, currently available at the CERN North Area, a statistical uncertainty of $0.3\%$ can be achieved on $a^HLO_\mu$ after two years of data taking. This direct measurement of $a^HLO_\mu$ 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.

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