UV cancelations in gravity loop integrands

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.

37 pages, 3 tables, 45 figures

References in corpus (16)

• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• D-dimensional unitarity cut method
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• On the Singularity Structure of Maximally Supersymmetric Scattering Amplitudes
• 5 loops in 24/5 dimensions
• Two-Loop Scattering Amplitudes from the Riemann Sphere
• Two-loop graviton scattering relation and IR behavior in N=8 supergravity
• The footprint of E7 in amplitudes of N=8 supergravity
• Dual Conformal Symmetry, Integration-by-Parts Reduction, Differential Equations and the Nonplanar Sector
• Dual Conformal Structure Beyond the Planar Limit
• Implications of nonplanar dual conformal symmetry
• Biadjoint scalar tree amplitudes and intersecting dual associahedra
• Properties of scattering forms and their relation to associahedra

Cited by in corpus (14)

• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Simple encoding of higher derivative gauge and gravity counterterms
• Loop-Level Double-Copy for Massive Quantum Particles
• Amplitudes at Infinity
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Building Bases of Loop Integrands
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Gravity loop integrands from the ultraviolet
• Non-planar BCFW Grassmannian Geometries
• Poles At Infinity in On-shell Diagrams
• Smooth Splitting and Zeros from On-Shell Recursion
• On-shell Correlators and Color-Kinematics Duality in Curved Symmetric Spacetimes
• Three-loop color-kinematics duality: A 24-dimensional solution space induced by new generalized gauge transformations