Effect of the magnetic resonance on the electronic spectra of high Tc superconductors

We explain recent experimental results on the superconducting state spectral function as obtained by angle resolved photoemission, as well as by tunneling, in high Tc cuprates. In our model, electrons are coupled to the resonant spin fluctuation mode observed in inelastic neutron scattering experiments, as well as to a gapped continuum. We show that, although the weight of the resonance is small, its effect on the electron self energy is large, and can explain various dispersion anomalies seen in the data. In agreement with experiment, we find that these effects are a strong function of doping. We contrast our results to those expected for electrons coupled to phonons.