Constructing amplitudes from their soft limits

Boucher-Veronneau, Camille; Larkoski, Andrew J.

doi:10.1007/jhep09(2011)130

Cited by 41 publications

(35 citation statements)

References 43 publications

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“…The answer to this question is positive. At a moment there is a well known Inverse Soft Limit (ISL) iterative procedure proposed in [42], elaborated in [55] and applied later in [56,57] to reconstruct BCFW terms for arbitrary tree level amplitudes starting with 3-point amplitude and inserting at each step one additional external state. Moreover, from the point of view of the Grassmannian, ISL [58,59] turns out to be a natural way of constructing Yangian-invariants [30,60], which is expected since tree-level amplitudes in N = 4 SYM are Yangian invariant.…”

Section: Inverse Soft Limit and Integrability For Amplitudesmentioning

confidence: 99%

On soft theorems and form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory

Bork¹,

Onishchenko²

2015

J. High Energ. Phys.

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Soft theorems for the form factors of 1/2-BPS and Konishi operator supermultiplets are derived at tree level in N = 4 SYM theory. They have a form identical to the one in the amplitude case. For MHV sectors of stress tensor and Konishi operator supermultiplets loop corrections to soft theorems are considered at one loop level. They also appear to have universal form in the soft limit. Possible generalization of the on-shell diagrams to the form factors based on leading soft behavior is suggested. Finally, we give some comments on inverse soft limit and integrability of form factors in the limit q 2 → 0.

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Section: Inverse Soft Limit and Integrability For Amplitudesmentioning

confidence: 99%

On soft theorems and form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory

Bork¹,

Onishchenko²

2015

J. High Energ. Phys.

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“…Recently it has also been suggested [17] that soft limits may be used to determine an n-point amplitude in terms of n−1 point amplitudes multiplied by a soft factor. This process, referred to as "inverse-soft", has been applied to gravity tree amplitudes [9,18,19] and used, for example, to determine the MHV amplitudes in the form,…”

Section: Mhv Tree Amplitudes Half-soft Functions and Twistor Linmentioning

confidence: 99%

Constructing gravity amplitudes from real soft and collinear factorization

2012

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Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and use these to generate tree and one-loop amplitudes. In particular we construct expressions for MHV tree amplitudes and the rational terms in one-loop amplitudes in the specific context of N = 4 supergravity. To completely determine the rational terms collinear factorisation must also be used. The rational terms for N = 4 have a remarkable diagrammatic interpretation as arising from algebraic link diagrams.

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“…The leading divergences are well studied and in general are universal [2][3][4][5][6], meaning independent of the helicities of the remaining (hard) legs. These "soft theorems" can be used in turn to constrain ansatz for unknown scattering amplitudes [7], and in some cases, iteratively construct the full amplitude [8][9][10].…”

Section: Introduction and Motivationsmentioning

confidence: 99%

“…(4.8) do not contribute since at the same time they are subleading in ǫ. 9 Evaluating the order z 0 contribution, one finds:…”

mentioning

confidence: 99%

Loop corrections to soft theorems in gauge theories and gravity

Huang

Wen

2014

J. High Energ. Phys.

162

188

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Abstract: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 doublepole 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 minushelicity 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.

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Constructing amplitudes from their soft limits

Cited by 41 publications

References 43 publications

On soft theorems and form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory

On soft theorems and form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory

Constructing gravity amplitudes from real soft and collinear factorization

Loop corrections to soft theorems in gauge theories and gravity

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