On loop corrections to subleading soft behavior of gluons and gravitons

Zvi Bern, Scott Davies, and Josh Nohle
Phys. Rev. D 90, 085015 – Published 20 October 2014

Abstract

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.

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  • Received 20 May 2014

DOI:https://doi.org/10.1103/PhysRevD.90.085015

© 2014 American Physical Society

Authors & Affiliations

Zvi Bern, Scott Davies, and Josh Nohle

  • Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90095-1547, USA

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Issue

Vol. 90, Iss. 8 — 15 October 2014

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