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On loop corrections to subleading soft behavior of gluons and gravitons
Open accessAbstract
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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Citations
Cites
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
Cited by
Hawking, S. W., Perry, M. J., & Strominger, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.231301 · Cited by 764
New symmetries of massless QED
He, T., Mitra, P., Porfyriadis, A. P., & Strominger, A. (2014) · Journal of High Energy Physics · doi:10.1007/jhep10(2014)112 · Cited by 386
Superrotation charge and supertranslation hair on black holes
Hawking, S. W., Perry, M. J., & Strominger, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep05(2017)161 · Cited by 334
Conformal basis for flat space amplitudes
Pasterski, S., & Shao, S.-H. (2017) · Physical Review D · doi:10.1103/physrevd.96.065022 · Cited by 334
Pasterski, S., Strominger, A., & Zhiboedov, A. (2016) · Journal of High Energy Physics · doi:10.1007/jhep12(2016)053 · Cited by 300
Metadata
- Authors
- Bern, Z., Davies, S., & Nohle, J.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-10-20
- Volume
- 90
- Issue
- 8
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2057019831
- Cited by
- 181
- References
- 1
- FWCI
- 11.61
- Type
- journal article
- Language
- en
- Open access
- green
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