Two-loop radiative corrections to e+e− → γγ∗ cross section

• Published in: The journal of high energy physics 2023-11, Vol.2023 (11), p.148-29, Article 148
• Main Authors: Fadin, V. S., Lee, R. N.
• Format: Article
• Language: English
• Subjects: Accuracy; Atoms & subatomic particles; Classical and Quantum Gravitation; Cross-sections; Electron-positron pairs; Elementary Particles; Energy; Experiments; Factorization; High energy physics; Higher Order Electroweak Calculations; Magnetic moments; Mathematical analysis; Muons; Photons; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Regular Article - Theoretical Physics; Relativity Theory; Renormalization Group; Standard deviation; String Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2023)148

A bstract The increasing accuracy of current and planned experiments to measure the anomalous magnetic moment of the muon requires more precision and reliability of its theoretical calculation. For this purpose, we calculate the differential cross section for the process of annihilation of an electron-positron pair into two photons, one of which is virtual, accompanied by the emission of soft photons, taking into account radiative corrections of the order α 2 . The results obtained can be used to improve the accuracy of calculating the contribution of the hadron vacuum polarization to the muon anomalous moment. It is shown that all logarithmically amplified two-loop corrections can be easily found using modern theorems of soft and collinear factorizations and available one-loop results.