Abstract
The next-to-leading order electro-weak radiative corrections to the µ±e- → µ±e- process are reviewed and their relevance is discussed for the MUonE experiment, proposed at CERN. The aim of MUonE is the high precision measurement of the QED running coupling constant in the space-like region, from which the full hadronic contribution can be extracted and used to provide a new and independent determination of the leading-order hadronic correction to the muon g − 2. In this context, the required accuracy demands that radiative corrections are accounted for at the highest level of precision and implemented into a Monte Carlo event generator for data analysis. The first step towards the final goal of theoretical precision, which will require the full set of NNLO corrections and resummation of higher orders, is the inclusion of NLO electro-weak corrections.
Highlights
The MUonE experiment, proposed to run at CERN, aims at measuring with high precision the running of the QED fine-structure constant α(q2) in the space-like region (q2 < 0) [1,2,3]
Largely based on the results of Ref. [11], we sketch an overview of the NLO calculation, which is implemented into a Monte Carlo event generator (EG) used by the MUonE collaboration, and we show some phenomenological results
We reported the calculation of the NLO radiative corrections to the processes μ±e− → μ±e− and their implementation into a Monte Carlo event generator, needed in view of the proposed MUonE experiment
Summary
The MUonE experiment, proposed to run at CERN, aims at measuring with high precision the running of the QED fine-structure constant α(q2) in the space-like region (q2 < 0) [1,2,3]. The CERN M2 facility provides a high-intensity muon beam with the correct properties which would allow MUonE to reach a 0.3% statistical error on aHμ LO in two years of data taking. In order for this to happen, the systematic uncertainties must be kept under control at the 10ppm level, which is the most demanding challenge of the proposed experiment. The 10ppm precision goal in the measurement of the cross section requires that the theoretical simulations and calculations needed for data analysis reach the same level of accuracy In turn this requires the inclusion of radiative corrections (RCs), in particular QED RCs, at the highest level of precision. Largely based on the results of Ref. [11], we sketch an overview of the NLO calculation, which is implemented into a Monte Carlo event generator (EG) used by the MUonE collaboration, and we show some phenomenological results
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