Loop corrections to soft theorems in gauge theories and gravity

By Song He, Yu-tin Huang, Congkao Wen. 2014

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A bstractIn this paper, we study loop corrections to the recently proposed new soft theorems of Cachazo and Strominger [1], for both gravity and gauge theory amplitudes. We first review the proof of its tree-level validity based on BCFW recursion relations, which also establishes an infinite series of universals soft functions for MHV amplitudes, and a generalization to supersymmetric cases. For loop corrections, we focus on infrared finite, rational amplitudes at one loop, and apply recursion relations with boundary or double-pole contributions. For all-plus amplitudes, we prove that the subleading soft theorems are exact to all multiplicities for gauge theory and up to 12-points for gravity amplitudes. For single-minus amplitudes, while the subleading soft theorems are again exact for the minus-helicity soft leg, for plus-helicity loop corrections are required. Using recursion relations, we identify the source of such mismatch as stemming from the special contribution containing double poles, and obtain the all multiplicity one-loop corrections to the subleading soft behavior in Yang-Mills theory. We also comment on the derivation of soft theorems using BCFW recursion in arbitrary dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/25a1364ac628eae43ff6b23cab42fdd6e775e329

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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].”
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].”
4D scattering amplitudes and asymptotic symmetries from 2D CFT (2016, background): “Furthermore, it was shown in [86] and [87] that the subleading soft theorems of gauge theory and gravity are valid at tree level but are corrected at one-loop and higher.”
Scattering of spinning black holes from exponentiated soft factors (2018, methodology): “It was found in [62], by means of a BCFW argument, that in the MHV sector of gravity amplitudes there is also a natural exponential completion of the soft theorem.”