Towards muon-electron scattering at NNLO
Abstract The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of th...
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doaj-ce2af42f9fcf4408aa9adfc5ed8535cf2020-11-25T04:06:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-0120201112510.1007/JHEP11(2020)028Towards muon-electron scattering at NNLOCarlo M. Carloni Calame0Mauro Chiesa1Syed Mehedi Hasan2Guido Montagna3Oreste Nicrosini4Fulvio Piccinini5INFN, Sezione di PaviaLaboratoire d’Annecy-le-Vieux de Physique Théorique (LAPTh), CNRSINFN, Sezione di PaviaINFN, Sezione di PaviaINFN, Sezione di PaviaINFN, Sezione di PaviaAbstract The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. The theoretical formulation for the fixed-order NNLO photonic radiative corrections is described and the impact of the numerical results obtained with the corresponding Monte Carlo code is discussed for typical event selections of the MUonE experiment. In particular, the gauge-invariant subsets of corrections due to electron radiation as well as to muon radiation are treated exactly. The two-loop contribution due to diagrams where at least two virtual photons connect the electron and muon lines is approximated taking inspiration from the classical Yennie-Frautschi-Suura approach. The calculation and its Monte Carlo implementation pave the way towards the realization of a simulation code incorporating the full set of NNLO corrections matched to multiple photon radiation, that will be ultimately needed for data analysis.http://link.springer.com/article/10.1007/JHEP11(2020)028Perturbative QCDPrecision QED |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Carlo M. Carloni Calame Mauro Chiesa Syed Mehedi Hasan Guido Montagna Oreste Nicrosini Fulvio Piccinini |
spellingShingle |
Carlo M. Carloni Calame Mauro Chiesa Syed Mehedi Hasan Guido Montagna Oreste Nicrosini Fulvio Piccinini Towards muon-electron scattering at NNLO Journal of High Energy Physics Perturbative QCD Precision QED |
author_facet |
Carlo M. Carloni Calame Mauro Chiesa Syed Mehedi Hasan Guido Montagna Oreste Nicrosini Fulvio Piccinini |
author_sort |
Carlo M. Carloni Calame |
title |
Towards muon-electron scattering at NNLO |
title_short |
Towards muon-electron scattering at NNLO |
title_full |
Towards muon-electron scattering at NNLO |
title_fullStr |
Towards muon-electron scattering at NNLO |
title_full_unstemmed |
Towards muon-electron scattering at NNLO |
title_sort |
towards muon-electron scattering at nnlo |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-11-01 |
description |
Abstract The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. The theoretical formulation for the fixed-order NNLO photonic radiative corrections is described and the impact of the numerical results obtained with the corresponding Monte Carlo code is discussed for typical event selections of the MUonE experiment. In particular, the gauge-invariant subsets of corrections due to electron radiation as well as to muon radiation are treated exactly. The two-loop contribution due to diagrams where at least two virtual photons connect the electron and muon lines is approximated taking inspiration from the classical Yennie-Frautschi-Suura approach. The calculation and its Monte Carlo implementation pave the way towards the realization of a simulation code incorporating the full set of NNLO corrections matched to multiple photon radiation, that will be ultimately needed for data analysis. |
topic |
Perturbative QCD Precision QED |
url |
http://link.springer.com/article/10.1007/JHEP11(2020)028 |
work_keys_str_mv |
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1724431162694172672 |