Are Soft Theorems Renormalized?

Abstract

We show that the distributional nature of soft theorems requires the soft limit expansion to take priority over the regulator expansion of Feynman loop integrals. We start the study of soft graviton theorems at loop level from this perspective by considering a five-particle one-loop amplitude in $\mathcal{N}=8$ supergravity. Surprisingly, we find that a soft theorem recently introduced by one of the authors and Strominger is not renormalized in this case. Computations are done in $4-2\epsilon$ dimensions and for terms of order ${\epsilon }^{-2}$, ${\epsilon }^{-1}$ and ${\epsilon }^0$.

New section on soft theorems vs soft expansions included, citations added and typos fixed in v2

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Cited by in corpus (9)

• The method of regions and next-to-soft corrections in Drell-Yan production
• Constraining subleading soft gluon and graviton theorems
• Diagrammatic insights into next-to-soft corrections
• Subleading Soft Factor for String Disk Amplitudes
• Perturbative gauge theory at null infinity
• Factorized soft graviton theorems at loop level
• Soft Theorems from Effective Field Theory
• Double-Soft Limits of Gluons and Gravitons
• A factorization approach to next-to-leading-power threshold logarithms