2014/05/31 by Zvi Bern, Scott Davies, Josh Nohle · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dimensional regularization #Extension (predicate logic) #Gauge theory #Geometry #Gravitation #Graviton #Loop (graph theory) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Renormalization #Symmetry (geometry) #Theoretical physics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.90.085015
published as Phys. Rev. D 90, 085015 (2014) · RevTeX, 5 figures, 18 pages; v2: Important missing references to Low, White and others included. Added note clarifying the reasons we use standard soft limits in dimensional regularization, where subleading soft operators are indeed renormalized; v3: minor corrections and clarifications
arxiv created 2014/06/03 · openalex publication_date 2014/10/20 · arxiv updated 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Cachazo and Strominger recently proposed an extension of the soft-graviton theorem found by Weinberg. In addition, they proved the validity of their extension at tree level. This was motivated by a Virasoro symmetry of the gravity S-matrix related to Bondi, van der Burg, Metzner, and Sachs symmetry. As shown long ago by Weinberg, the leading behavior is not corrected by loops. In contrast, we show that with the standard definition of soft limits in dimensional regularization, the subleading behavior is anomalous and modified by loop effects. We argue that there are no new types of corrections to the first subleading behavior beyond one loop and to the second subleading behavior beyond two loops. To facilitate our investigation, we introduce a new momentum-conservation prescription for defining the subleading terms of the soft limit. We discuss the loop-level subleading soft behavior of gauge-theory amplitudes before turning to gravity amplitudes.