Abstract
We Present a Complete Reevaluation of the Irreducible Two-Loop Vacuum-Polarization Correction to the Photon Propagator in Quantum Electrodynamics, i.e. with an Electron-Positron Pair in the Fermion Propagators. the Integration is Carried Out by Reducing the Integrations to a Limited Set of Master Integrals, Which Are Calculated using Integration-By-Parts Identities. Dimensional Regularization is Used in D=4-2ϵ Dimensions, and On-Mass Shell Renormalization is Employed. the One-Loop Effect is Given to Order ϵ, to Be Combined with the 1/ϵ Divergence of the Two-Loop Amplitude. Master Integrals Are Given. Final Evaluations of Two-Loop Energy Shifts for 1S, 2S, and 2P States Are Done Analytically, and Results Are Presented, with an Emphasis on Muonic Hydrogen. for Relativistic Dirac-Coulomb Reference States, Higher-Order Coefficients Are Obtained for the Zα-Expansion. We Compare the Results Obtained to the Existing Literature.
Recommended Citation
S. Laporta and U. D. Jentschura, "Dimensional Regularization and Two-loop Vacuum Polarization Operator: Master Integrals, Analytic Results, and Energy Shifts," Physical Review D, vol. 109, no. 9, article no. 096020, American Physical Society, May 2024.
The definitive version is available at https://doi.org/10.1103/PhysRevD.109.096020
Department(s)
Physics
Publication Status
Open Access
International Standard Serial Number (ISSN)
2470-0029; 2470-0010
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 American Physical Society, All rights reserved.
Publication Date
01 May 2024
Comments
European Commission, Grant PHY–2110294