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Analyzing the magnitude of two loop corrections to the muon magnetic dipole moment in the mass insertion approximation

Shu-Min Zhao1,2,3,*, Song Gao1,2,3, Xing-Xing Dong1,2,3,4,†, and Ming-Yue Liu1,2,3

  • 1Department of Physics, Hebei University, Baoding 071002, China
  • 2Hebei Key Laboratory of High-precision Computation and Application of Quantum Field Theory, Baoding, 071002, China
  • 3Hebei Research Center of the Basic Discipline for Computational Physics, Baoding, 071002, China
  • 4Departamento de Fisica and CFTP, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1,1049-001 Lisboa, Portugal

  • *Contact author: zhaosm@mail.nankai.edu.cn
  • †Contact author: dongxx@hbu.edu.cn
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Phys. Rev. D 112, 075012 – Published 14 October, 2025

DOI: https://doi.org/10.1103/7tzg-wk96

Abstract

With the development of muon magnetic dipole moment (MDM) experiments, particularly the high-precision measurements at Fermilab National Accelerator Laboratory (FNAL), experimental data have become increasingly precise. Up to now, the deviation of muon MDM between the experimental data and the standard model prediction still exists, which may be caused by the new physics contribution. The two loop supersymmetric diagrams can produce important corrections to muon MDM. For many two loop diagrams, we analyze the order of the contribution to select the important two loop diagrams and neglect the tiny one, which is in favor of distinguishing the important two loop diagrams from all the two loop diagrams. In our analysis, we use the mass insertion approximation. There is no rotation matrix during the study and the resulting factors become more intuitive, so the mass insertion method is more suitable for this study of ours.

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Phys. Rev. D 112, 075012– Published 14 October, 2025
  • Received 27 September 2024
  • Accepted 12 August 2025
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