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Feynman diagrams
Example:
Order matters due to Dirac matrix
structure (photon part doesn’t care)
Go backward along the fermion lines:
In the final state:
In the initial state:
Throw in the internal photon propagator:
Integrate over internal momentum:
e
+
,
μ+
e
μ
e
e
+
μ
μ
+
February 29 - March 7, 2024
Modern accelerator physics, Lecture 4-5
31
Example: QED calculations
Electron’s anomalous magnetic dipole moment, g/2:
g/
2
exp
=
1.00115965218073
2
g/
theory
3rd order corrections, 72 diagrams
Current theoretical limit is due to
1.00115965217760
=
4th order corrections ( > 100 10­dimensional integrals ).
February 29 - March 7, 2024
Modern accelerator physics, Lecture 4-5
32
Thank You!
February 29 - March 7, 2024 Modern accelerator physics, Lecture 4-5 33