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Positivity bounds on scattering amplitudes provide a necessary condition fora low-energy effective field theory to have a consistent ultravioletcompletion. Their extension to gravity theories has been studied in the pastyears aiming at application to the swampland program, showing that positivitybounds hold at least approximately even in the presence of gravity. An issue inthis context is how much negativity is allowed for a given scattering process.In this paper we address importance of this rather technical issue bydemonstrating that it is relevant to physics within the scope of ongoingexperiments, especially in the context of dark sector physics. In particular,we provide detailed analysis of dark photon scenarios as an illustrativeexample. This motivates further studies on gravitational positivity bounds.

Phenomenological Motivation for Gravitational Positivity Bounds: A Case Study of Dark Sector Physics