UV cancelations in gravity loop integrands

TL;DR

This paper investigates the ultraviolet behavior of four-dimensional gravity loop integrands, revealing unexpected pole cancellations at infinity that suggest hidden symmetries in gravity amplitudes.

Contribution

It uncovers novel pole cancellation phenomena at infinity in gravity integrands, hinting at underlying symmetries not yet understood.

Findings

Certain poles at infinity are absent in gravity integrands.

Pole cancellations require a conspiracy among Feynman integrals.

Results are primarily for $ ext{N}=8$ supergravity, applicable to pure gravity.

Abstract

In this work we explore the properties of four-dimensional gravity integrands at large loop momenta. This analysis can not be done directly for the full off-shell integrand but only becomes well-defined on cuts that allow us to unambiguously specify labels for the loop variables. The ultraviolet region of scattering amplitudes originates from poles at infinity of the loop integrands and we show that in gravity these integcrands conceal a number of surprising features. In particular, certain poles at infinity are absent which requires a conspiracy between individual Feynman integrals contributing to the amplitude. We suspect that this non-trivial behavior is a consequence of yet-to-be found symmetry or hidden property of gravity amplitudes. We discuss mainly amplitudes in $\mathcal{N}=8$ supergravity but most of the statements are valid for pure gravity as well.