Resummation of Universal Tails in Gravitational Waveforms.

Area of Science:

• Classical general relativity
• Gravitational wave physics
• Effective field theory

Background:

• Multipole moments describe gravitating sources.
• Anomalous scaling affects these moments.
• Gravitational wave astronomy requires precise waveform modeling.

Purpose of the Study:

• Derive a universal formula for anomalous scaling of multipole moments.
• Clarify the role of renormalized angular momentum.
• Improve gravitational waveform models for compact systems.

Main Methods:

• Utilized effective field theory (EFT) methods.
• Analyzed low-frequency gravitational wave absorption by black holes.
• Examined phase shifts from gravitational wave elastic scattering.

Main Results:

• Developed a formula for universal anomalous scaling of multipole moments.
• Identified scaling dimension with renormalized angular momentum.
• Demonstrated universality across black holes, neutron stars, and binaries.

Conclusions:

• The EFT approach clarifies renormalized angular momentum's role.
• The universal anomalous dimension applies to diverse compact objects.
• Proposed a novel resummation technique for gravitational waveforms.