Green's function of the cosmological thermalization problem II: effect
  of photon injection and constraints
  The energy spectrum of the cosmic microwave background (CMB) provides a
powerful tool for constraining standard and non-standard physics in the
primordial Universe. Previous studies mainly highlight spectral distortions
(mu-, y- and r-type) created by episodes of early energy release; however,
several processes also lead to copious photon production, which requires a
different treatment. Here, we carry out a first detailed study for the
evolution of distortions caused by photon injection at different energies in
the CMB bands. We provide detailed analytical and numerical calculations
illustrating the rich phenomenology of the associated distortion signals. We
show that photon injection at very high and very low frequencies creates
distortions that are similar to those from pure energy release. In the mu-era
(z>3x10^5), a positive or negative chemical potential can be formed, depending
on the balance between added photon energy and number. At lower redshifts
(z<3x10^5), partial information about the photon injection process (i.e.,
injection time and energy) can still be recovered, with the distortion being
found in a partially comptonized state. We briefly discuss current and future
constraints on scenarios with photon production. We also argue that more
detailed calculations for different scenarios with photon injection may be
required to assess in which regimes these can be distinguished from pure energy
release processes.
