Using high-resolution angle-resolved photoemission spectroscopy on Bi2Sr2CaCu2O8+\ensuremathδ,{\mathrm{Bi}}_{2}{\mathrm{Sr}}_{2}{\mathrm{CaCu}}_{2}{\mathrm{O}}_{8+\ensuremath{\delta}}, we observe a new mass renormalization or ``kink'' in the E vs k\ensuremath\stackrel{\ensuremath{\rightarrow}}{k} dispersion relations localized near (\ensuremathπ,0).(\ensuremath{\pi},0). The resolution of bilayer splitting allowed the first direct measurements of this interaction effect. The kink is clearly stronger than the kink observed along the nodal directi