D espite years of intensive research on copper oxidesuperconductors with high transition temperatures (T c ), the driving force of superconductivity has not yet been clarified. Angle-resolved photoemission spectroscopy (ARPES) 1-3 measurements have uncovered an important contribution of lattice vibrations (phonons) to superconductivity, sparking a fierce debate on the nature of the 'glue'-phonons or magnetic excitations-binding together the superconducting Cooper pairs 1-11 . However, it is difficult to distinguish these two pairing forces owing to their similar energy scales. Here, we propose a fresh approach to investigate the origin of many-body interactions in these superconductors: an impurity-substitution effect on the low-energy dynamics, which is a magnetic analogue of the isotope effect used for classical superconductors. Our ARPES results reveal that the impurity-induced changes in the electron self-energy show a good correspondence to those of magnetic excitations 12-18 , indicating the importance of spin fluctuations to electron pairing in the high-T c superconductors.The interaction of electrons with bosonic excitations (phonons or spin excitations), which causes the pairing of electrons and leads to superconductivity, produces a small anomaly in the energy dispersion in the vicinity of the Fermi level (E F ); ref. 19. High-resolution ARPES has directly observed a small band anomaly, now known as a 'kink' , in high-T c cuprates. In order to clarify the origin of the kink and its relationship with the high-T c superconductivity, the momentum, carrier concentration, temperature and CuO 2 -layer-number dependences of the kink have been investigated intensively 1-3,5-11 . However, no consensus on the origin of the kink has yet been reached. The largest discrepancy is the assignment of the kink in the antinodal region around the (π, 0) point in the Brillouin zone, where the dispersion kink is observed to be the strongest and the d-wave gap becomes maximum in the superconducting state. Three possible candidates, the magnetic mode 12-15 , the B 1g phonon 20,21 and the longitudinal optical phonon 22 , have been proposed. However, as all of these modes have similar energies of 40-70 meV, there are no convincing experimental clues to distinguish these apparently different possibilities. One effective approach to find the origin of the kink is to investigate the impurity effect using impurity atoms with different spin states but with similar atomic masses, because it is expected that even a small amount of such impurities will significantly affect the magnetic environment in the CuO 2 plane while not producing a marked change in the lattice vibration. This approach is regarded as an 'isotope' effect for magnetically mediated superconductors, analogous to the conventional isotope effect for phonon-mediated superconductors. Here, we report ultrahigh-resolution ARPES results on Zn-substituted and Ni-substituted samples of the Bi-based high-T c cuprate superconductor Bi 2 Sr 2 CaCu 2 O 8+δ (Bi2212) to find the ori...