Programme

P.73 -- Poster, VCTP-45

Date: Wednesday, 14 October 2020

Time: 08:30 - 10:00

Online presentation

Exact electron-muon elastic scattering in QED at next-to-leading order: Soft-photon contribution

Le Duc Ninh (1), Le Duc Truyen (1,2), Tran Quang Loc (3)

(1) Institute For Interdisciplinary Research in Science and Education, ICISE, Quy Nhon, Vietnam; (2) Department of Theoretical Physics, University of Science, Ho Chi Minh City, Vietnam; (3) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, United Kingdom

Recently, the new experiment MUonE has been proposed to measure precisely the running of the fine-structure constant at space-like momenta via the electron-muon elastic scattering. The motivation is to resolve the current 3-sigma anomaly on the muon (g-2) measurement. For the MUonE measurement we have to calculate the cross section of electron-muon elastic scattering very precisely, at the level of 10 ppm relative accuracy. This requires that the electron and muon masses have to be kept and next-to-next-to-leading order QED corrections must be included. Already at next-to-leading order, the precise calculation keeping the electron mass is numerically challenging due to different scales involved. Here we report on our attempt to calculate the cross section of electron-muon elastic scattering in QED at next-to-leading order in the soft-photon approximation keeping the electron mass. We will present some numerical results for MUonE experiment setup.

Presenter: Le Duc Truyen

Presentation file: