Augmented Recursion For One-loop Gravity Amplitudes

Abstract

We present a semi-recursive method for calculating the rational parts of one-loop gravity amplitudes which utilises axial gauge diagrams to determine the non-factorising pieces of the amplitude. This method is used to compute the one-loop amplitudes M(1-,2+,3+,4+,5+) and M(1-,2+,3+,4+,5+,6+).

25 pages, JHEP3 class, minor clarifications and corrections

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Cited by in corpus (21)

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• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Loop amplitudes in gauge theories: modern analytic approaches
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• Two-loop five-point all plus helicity Yang-Mills amplitude
• Loops on the Celestial Sphere
• Two-loop six gluon all plus helicity amplitude
• Scattering Amplitudes in Quantum Field Theory
• Analytic all-plus-helicity gluon amplitudes in QCD
• $n$-point amplitudes with a single negative-helicity graviton
• The two-loop n-point all-plus helicity amplitude
• On the associativity of 1-loop corrections to the celestial operator product in gravity
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Perturbative expansion of N<8 Supergravity
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Complex Factorisation and Recursion for One-Loop Amplitudes
• An $n$-point QCD two-loop amplitude
• Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation
• All rational one-loop Einstein-Yang-Mills amplitudes at four points
• Obtaining One-loop Gravity Amplitudes Using Spurious Singularities
• The $\mathcal{N}=4$ Supergravity NMHV six-point one-loop amplitude