Loop corrections to soft theorems in gauge theories and gravity

A bstract In 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 seri...

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Bibliographic Details
Published in:The journal of high energy physics 2014-12, Vol.2014 (12), p.1, Article 115
Main Authors: He, Song, Huang, Yu-tin, Wen, Congkao
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract In 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2014)115