Everyone makes mistakes—including Feynman

Early stages of the theory of radiative corrections to weak interaction processes such as muon decay and π − e decay are described based on my personal recollection. The discovery of an error in our initial paper on the muon decay played a crucial role in the realization of remarkable cancelation of mass singularities in integrated observable quantities. General formulation developed to deal with mass singularity turned out to be very handy for numerical evaluation of high-order radiative corrections to the lepton anomalous magnetic moment. This has led to the most stringent test of QED available at present. New developments of last two years are described briefly in 'Note added in proof'.

[1]  Theodor W. Hänsch,et al.  Absolute Optical Frequency Measurement of the Cesium D 1 Line with a Mode-Locked Laser , 1999 .

[2]  S. M. Berman Radiative Corrections to Pion Beta Decay , 1958 .

[3]  R. Feynman Space - time approach to quantum electrodynamics , 1949 .

[4]  Kinoshita New value of the alpha 3 electron anomalous magnetic moment. , 1995, Physical review letters.

[5]  P. Schwinberg,et al.  Experiments with Single Electrons , 1991 .

[6]  E. al.,et al.  Improved measurement of the positive muon anomalous magnetic moment , 2000, hep-ex/0009029.

[7]  A. Salam On parity conservation and neutrino mass , 1957 .

[8]  L. Landau ON THE CONSERVATION LAWS FOR WEAK INTERACTIONS , 1957 .

[9]  Chen Ning Yang,et al.  Parity Nonconservation and a Two Component Theory of the Neutrino , 1957 .

[10]  M. Janousch,et al.  High precision measurements of the ground state hyperfine structure interval of muonium and of the muon magnetic moment , 1999 .

[11]  Steiner,et al.  Branching ratio for the rare pion decay into positron and neutrino. , 1993, Physical review letters.

[12]  Re-evaluation of a precise measurement of h/mn , 1999 .

[13]  R. Gatto,et al.  A suggestion on the theory of the π → e + v to π + Μ + v ratio , 1958 .

[14]  T. Kinoshita Mass singularities of Feynman amplitudes , 1962 .

[15]  W. Marciano,et al.  Theorem on. pi. /sub l2/ decays and electron--muon universality , 1976 .

[16]  Ronald F. Dziuba,et al.  NIST comparison of the quantized Hall resistance and the realization of the SI ohm through the calculable capacitor , 1996 .

[17]  S. M. Berman Radiative Corrections to Muon and Neutron Decay , 1958 .

[18]  Kinoshita,et al.  Eighth-order QED contribution to the anomalous magnetic moment of the muon. , 1990, Physical review. D, Particles and fields.

[19]  A. Sirlin,et al.  Muon Decay with Parity Nonconserving Interactions and Radiative Corrections in the Two-Component Theory , 1957 .

[20]  B. Lautrup,et al.  The anomalous magnetic moment of the muon and short-distance behaviour of quantum electrodynamics , 1974 .

[21]  P. Cvitanović,et al.  Sixth-order magnetic moment of the electron , 1974 .

[22]  R. Garwin,et al.  Observations of the Failure of Conservation of Parity and Charge Conjugation in Meson Decays: The Magnetic Moment of the Free Muon , 1957 .

[23]  T. Kinoshita,et al.  Anomalous g values of the electron and muon , 1999 .

[24]  Kinoshita,et al.  Eighth-order magnetic moment of the electron. IV. Vertex diagrams containing photon-photon scattering subdiagrams. , 1989, Physical review. D, Particles and fields.

[25]  G. Lepage A new algorithm for adaptive multidimensional integration , 1978 .

[26]  Chen Ning Yang,et al.  Question of Parity Conservation in Weak Interactions , 1956 .

[27]  T. Kinoshita Sixth-order radiative corrections to the muon magnetic moment , 1967 .

[28]  E. Remiddi,et al.  The analytical value of the electron (g − 2) at order α3 in QED , 1996 .

[29]  A. Sirlin,et al.  RADIATIVE CORRECTIONS TO FERMI INTERACTIONS , 1959 .

[30]  Van Dyck,et al.  New high-precision comparison of electron and positron g factors. , 1987, Physical review letters.

[31]  A. Sirlin,et al.  RADIATIVE CORRECTIONS TO DECAY PROCESSES , 1956 .

[32]  D. D. Hoppes,et al.  Experimental Test of Parity Conservation in Beta Decay , 1957 .

[33]  K. Haller Quantum Electrodynamics , 1979, Nature.