Cosmic Microwave Background Spectral Distortions from Cosmic String Loops

Cosmic string loops contain cusps which decay by emitting bursts of particles. A significant fraction of the released energy is in the form of photons. These photons are injected non-thermally and can hence cause spectral distortions of the Cosmic Microwave Background (CMB). Under the assumption that cusps are robust against gravitational back-reaction, we compute the fractional energy density released as photons in the redshift interval where such non-thermal photon injection causes CMB spectral distortions. Whereas current constraints on such spectral distortions are not strong enough to constrain the string tension, future missions such as the PIXIE experiment will be able to provide limits which rule out a range of string tensions between $G \mu \sim 10^{-15}$ and $G \mu \sim 10^{-12}$, thus ruling out particle physics models yielding these kind of intermediate-scale cosmic strings.