Determine impact of dimensional-regularization scheme dependence on the one-loop waveform

Determine precisely how the choice of dimensional regularization scheme affects the one-loop gravitational waveform computed using the classical one-loop gravitational Compton amplitude with spin, including the consequences of scheme-dependent cut box and cut bubble master coefficients.

Background

The authors find that certain coefficients in the classical one-loop Compton amplitude with spin are sensitive to the dimensional-regularization scheme, starting at the quadratic order in spin. Since the Compton amplitude is a key ingredient in loop-level waveform calculations, understanding the propagation of this scheme dependence to observables is essential.

Previous work has indicated that even the spinless one-loop waveform can be scheme dependent, underscoring the need for a systematic assessment in the spinning case and at second post-Minkowskian order.