Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter

Understand

We investigate the correction to the potential that gives rise to the bound orbits and radiation from non-spinning inspiralling binary black holes in a dark matter environment consisting of axion-like particles and dark photons using the techniques of Worldline Effective Field Theory.

• We compute the conservative dynamics up to $1$PN order for gravitational, electromagnetic, and Proca fields and up to $2$PN order for the scalar field.
• The effect of axion-electromagnetic coupling ($g_{a\gamma\gamma}$) arises to the conservative dynamics at $2.5$PN order and the kinetic mixing constant ($\gamma$) at $1$PN order.
• Furthermore, we calculate the radiation due to the various fields present in our theory.