Massive double copy in the high-energy limit

A bstract The exploration of the massive double copy is still in its infancy, and only a few examples limited contexts are known. In this paper, we analyze newly discovered for topologically theories beyond tree-level amplitudes high-energy (eikonal) limit. We find that contrary to simple relation occurs massless d ? 4 case, requires information outside eikonal limit give correct results. However, arises phase shift. Additionally, relate corresponding shockwave backgrounds classical manifest appropriate choice boundary conditions. This analysis hints towards existence at all loop orders.