Soft Graviton Theorem in Arbitrary Dimensions

Abstract

In this note we show that the recent conjecture proposed by Cachazo and Strominger holds at tree level in arbitrary dimensions. The proof makes crucial use of the fact that the sub-leading operator is defined using the total angular momentum operator. A key ingredient that makes the proof possible is the CHY formula for graviton amplitudes in arbitrary number of dimensions.

10 pages

References in corpus (2)

• Evidence for a New Soft Graviton Theorem
• Subleading soft theorem in arbitrary dimension from scattering equations

Cited by in corpus (20)

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• Diagrammatic insights into next-to-soft corrections
• Subleading Soft Factor for String Disk Amplitudes
• Perturbative gauge theory at null infinity
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Subleading Soft Theorem for Multiple Soft Gravitons
• Soft gravitational radiation from ultra-relativistic collisions at sub- and sub-sub-leading order
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• On the Subleading-Soft Behaviour of QCD Amplitudes
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• Factorized soft graviton theorems at loop level
• Soft Theorems from Effective Field Theory
• Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string
• Double-Soft Limits of Gluons and Gravitons
• A factorization approach to next-to-leading-power threshold logarithms
• Fermions and the scattering equations
• BMS in higher space-time dimensions and Non-relativistic BMS