Simplifying $D$-Dimensional Physical-State Sums in Gauge Theory and Gravity

Abstract

We provide two independent systematic methods of performing $D$-dimensional physical-state sums in gauge theory and gravity in such a way so that spurious light-cone singularities are not introduced. A natural application is to generalized unitarity in the context of dimensional regularization or theories in higher spacetime dimensions. Other applications include squaring matrix elements to obtain cross sections, and decompositions in terms of gauge-invariant tensors.

journal version, small typo corrected -- 30 pages, 5 figures

References in corpus (8)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• New Relations for Gauge-Theory Amplitudes
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• D-dimensional unitarity cut method
• Direct Extraction Of One Loop Rational Terms
• Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
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