Imprints of local lightcone projection effects on the galaxy bispectrum. Part III. Relativistic corrections from nonlinear dynamical evolution on large-scales

The galaxy bispectrum is affected on equality scales and above by relativistic observational effects, at linear and nonlinear order. These lightcone effects include local contributions from Doppler and gravitational potential terms, as well as integrated contributions like lensing, together with all the couplings at nonlinear order. We recently presented the correction to the galaxy bispectrum from all local lightcone effects up to second order in perturbations, using a plane-parallel approximation. Here we update our previous result by including the effects from relativistic nonlinear dynamical evolution. We show that these dynamical effects make a significant contribution to the projection effects.