Radiative Higgs corrections to lepton masses and anomalous magnetic moments

Neutrino electromagnetic interactions: A window to new physics

“…The dependence of the rate of the process (6.101) on the magnetic field was initially derived by Baier and Katkov (1966); Ritus (1969); Loskutov and Zakhartsov (1969) within the local four fermion weak interaction model of Gell-Mann-Feynman. In the Weinberg-Salam model this process was considered by Ternov et al (1983Ternov et al ( , 1982. In the lowenergy approximation of the model for the amplitude of the process (6.101) we have used…”

“…(6.101), g V = sin 2 θ W +1/2 and g A = 1/2. The effect of a constant magnetic field presence is accounted for by the wave functions of the initial and final electron that are the exact solutions of the Dirac equation in magnetic field given in Appendix H. Performing standard calculations accounting for the rotational symmetry of the problem with respect to the magnetic field #» B oriented along the z axis one arrives to the rate given by Ternov et al (1983Ternov et al ( , 1982)…”

“…The matrix elements H αβ = j α j * β are determined by the electron currents Integration in (6.104) can be performed analytically. The final expressions for the rate Γ were obtained by Ternov et al (1983Ternov et al ( , 1982:…”

The standard model prediction of the muon anomalous magnetic moment

“…where G µ = 1.16637(1) × 10 −5 GeV −2 is the Fermi coupling constant, M Z , M W and M H are the masses of the Z, W and Higgs bosons, and θ W is the weak mixing angle. Closed analytic expressions for a EW µ (one loop) taking exactly into account the m 2 µ M 2 B dependence (B = Z, W , Higgs, or other hypothetical bosons) can be found in [51]. Following [52], I employ for sin 2 θ W the on-shell definition sin…”