B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 1/19 Welcome to Lepton Moments 2006! B. Lee Roberts Department of Physics Boston University
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 2/19 Magnetic Dipole moments started with a proposal by Otto Stern to study space quantization: Z. Phys. 7, 249 (1921)
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 3/19 First Result from Otto Stern and Walter Gerlach Z. Phys. 8, 110 (1922)
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 4/19 ohne Magnetfeld mit Magnetfeld
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 5/19 (in modern language) (and in English) By 1924 they had published 3 papers plus this review article.
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 6/19 Phipps and Taylor found the same effect in Hydrogen
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 7/19 Dirac Equation Predicts g=2 Non-relativistic reduction of the Dirac Equation for an electron in a weak magnetic field.
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 8/19 But … the hydrogen hyperfine structure not as expected … Phys. Rev. 71, 914 (1947)
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 9/19
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 10/19 Kusch and Foley, PR 72, 1256 (1947), gs ≠ 2 ???
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 11/19 Schwinger The new Hamiltonian is superior to the original one in essentially three ways: it involves the experimental electron mass, rather than the unobservable mechanical mass; an electron now interacts with the radiation field only in the presence of an external field… the interaction of an electron with an external field is now subject to a finite radiative correction. These discrepancies can be accounted for by a small additional electron spin magnetic moment.
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 12/19 Dirac + Pauli moment
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 13/19 Radiative corrections change g Dirac Stern-Gerlach Schwinger Kusch-Foley
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 14/19 Beyond The SM Value for electron and muon anomalies? e vrs. : relative contribution of heavier things e, e*, e, e,e, e,e, e,e, e,e, e,e, e,e, e,e, e,e, ? S
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 15/19 Electric and Magnetic Dipole Moments Phys. Rev. 78 (1950)
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 16/19
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 17/19 Transformation Properties of Electric and Magnetic Dipole Moments An EDM implies both P and T are violated. An EDM at a measureable level would imply non-standard model CP.
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 18/19 However, it should be emphasized that while such arguments are appealing from the point of view of symmetry, they are not necessarily valid. Ultimately the validity of all such symmetry arguments must rest on experiment. Phys. Rev. 109, 225 (1958)
B. Lee Roberts, Welcome and Overview – Lepton Moments June p. 19/19 Norman Ramsey – A brief History of the search for a permanent EDM of the neutron