Self-energy of spin-fluctuation-mediated superconductors: Inconsistency against ARPES for cuprates

•The angle and frequency dependence of the self-energy can be deduced from ARPES analysis.•It can also be calculated from the Eliashberg equation using the spin fluctuation spectrum from inelastic neutron scatterings.•Comparison between the self-energies from the APRES and INS are not consistent.•The spin fluctuations may not be responsible for the quasiparticle dynamics in the cuprate superconductors. We perform a consistency check of the spin-fluctuation-mediated d-wave pairing against the angle resolved photoemission spectroscopy (ARPES) for the cuprate superconductors. Using the inelastic neutron scattering (INS) spin susceptibility spectrum reported by Vignolle et al. in the Eliashberg equation, we calculate the self-energy of the quasi-particles for the optimally doped La2−xSrxCuO4. The self-energy can also be deduced by analyzing the ARPES intensity. The angle and frequency dependence of the calculated diagonal self-energy from the spin fluctuations does not seem to be consistent with that deduced from ARPES.