A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry

Abstract

We study single soft scalar emission amplitudes of $\mathcal{N}=8$ supergravity (SUGRA) at the one-loop level using an explicit formula for one-loop amplitudes in terms of tree amplitudes, which in turn are evaluated using supersymmetric BCFW recursion relations. It turns out that the infrared finite parts of all such amplitudes vanish in the soft momentum limit, which supports the conjecture that $E_{7(7)}$ symmetry has no anomalies at the one-loop level.

18 pages, 3 figures; some clarifications made, new references added

References in corpus (15)

• What is the Simplest Quantum Field Theory?
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
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• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
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• Is N = 8 Supergravity Ultraviolet Finite?
• Generating Tree Amplitudes in N=4 SYM and N=8 SG
• Ultraviolet properties of Maximal Supergravity
• The No-Triangle Hypothesis for N=8 Supergravity
• New Higher-Derivative $R^4$ Theorems
• Explicit Action of E7(7) on N=8 Supergravity Fields
• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• E_7(7) on the Light Cone
• N=8 Supergravity 4-point Amplitudes
• A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry

Cited by in corpus (5)

• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• N=8 Supergravity on the Light Cone
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry