Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem

TL;DR

This paper demonstrates that logarithmic terms in the soft graviton theorem lead to a late-time gravitational wave tail, affecting the linear memory effect by introducing an inverse power law decay.

Contribution

It reveals how logarithmic corrections in the soft graviton theorem produce observable late-time gravitational wave tails.

Findings

Logarithmic terms cause a tail in gravitational wave signals.

Late-time tail decays as inverse power of time.

Implications for gravitational wave memory effects.

Abstract

We show that the recently discovered logarithmic terms in the soft graviton theorem induce a late time component in the gravitational wave-form that falls off as inverse power of time, producing a tail term to the linear memory effect.