Generalized quasi-Keplerian solution for eccentric, nonspinning compact binaries at 4PN order and the associated inspiral-merger-ringdown waveform

We derive fourth post-Newtonian (4PN) contributions to the Keplerian-type parametric solution associated with conservative dynamics of eccentric, non-spinning compact binaries. The has been computed while ignoring certain zero-average, oscillatory terms arising due 4PN tail effects. provide explicit expressions for and various orbital elements in conserved energy, angular momentum symmetric mass ratio. Canonical perturbation theory (along technique Pade approximant) is used incorporate nonlocal-in-time effects within action-angles framework. then employ resulting obtain an updated inspiral-merger-ringdown (IMR) waveform that models coalescence non-spinning, moderately eccentric black hole binaries, influenced by arXiv:1709.02007. Our expected be valid over similar parameter range as above reference. also present a related which makes use only equations thus inspiral stage. This work much larger eccentricity ($e_t \lesssim 0.85$) than our full IMR (which assumes circularization binaries close merger). finally pursue preliminary data analysis studies probe importance including binary constructing gravitational templates mergers.