On loop corrections to subleading soft behavior of gluons and gravitons

By Z. Bern, S. Davies, Josh Nohle. 2014

225 citations recorded by the source corpus.

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 BMS 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/343b8128922141947495b3a280a1b20b49e3f580

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Andrew Strominger
2. Ashoke Sen
3. M. Perry
4. S. Hawking
5. Sabrina Pasterski
6. Biswajit Sahoo
7. T. He
8. P. Mitra

In Nuclear and High Energy Physics

1. Andrew Strominger
2. M. Perry
3. S. Hawking
4. Sabrina Pasterski
5. Ashoke Sen
6. T. He
7. P. Mitra
8. C. Cheung

Citations in the corpus

• Soft Hair on Black Holes. (2016, methodology): “This exact equivalence has provided fundamentally new perspectives on both BMS symmetry and the soft graviton theorem, as well as more generally the infrared behavior of gravitational theories [5,7,9-39].”
• Loop corrections to soft theorems in gauge theories and gravity (2014, background): “Very recently in [32], leading infrared-singular loop corrections to the subleading soft behavior have been obtained.”
• Classical and quantum results on logarithmic terms in the soft theorem in four dimensions (2018, background): “However these arguments break down in four space-time dimensions due to infrared divergences [41] where more care may be needed [27, 44].”
• Subleading soft photons and large gauge transformations (2016, unknown): “While S (1) is expected to be sensitive to loop corrections [6, 7] our focus will be on the theorem at tree level.”
• Superrotation charge and supertranslation hair on black holes (2016, background): “An important issue for the quantum theory is the appearance of one loop corrections [98] which depend on the order of soft limits [99].”
• 2D Kac-Moody symmetry of 4D Yang-Mills theory (2015, background): “Corrections do not appear at the level of the integrands studied in the amplitudes program [31, 32, 38, 40] or in contexts requiring the soft limit to be taken prior to the removal of the IR regulator [31, 35, 38].”