Constructing gravity amplitudes from real soft and collinear factorization

Dunbar, David C.; Ettle, James H.; Perkins, Warren B.

doi:10.1103/physrevd.86.026009

Cited by 12 publications

(14 citation statements)

References 66 publications

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“…Since such contributions are ubiquitous for recursions of rational terms in gauge theories [43], we strongly suspect that corrections for S (1) YM is needed there as well. Moreover, corrections for S (2) G are also expected for rational terms of one-loop amplitudes in supergravity theories, in particular the remarkable formula for that in N = 4 supergravity [7,48]. We leave the study of such corrections, and their possible physical interpretations, to the future.…”

Section: Discussionmentioning

confidence: 93%

“…There are two types of soft limit one can consider: the holomorphic one with, say λ n+1 = ǫλ s and the anti-holomorphic one withλ 1 = ǫλ s . 7 Our strategy will be similar to the case of all-plus amplitudes: we will write down recursion relations and extract terms with soft divergences in both cases. We consider the second case first, and we recall that the leading soft divergence is given by the parityconjugate of S (0) YM above, times an all-plus amplitude,…”

Section: Single-minus Amplitudesmentioning

confidence: 99%

“…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%

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Loop corrections to soft theorems in gauge theories and gravity

Huang

Wen

2014

J. High Energ. Phys.

156

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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Section: Discussionmentioning

confidence: 93%

Section: Single-minus Amplitudesmentioning

confidence: 99%

Section: Introduction and Motivationsmentioning

confidence: 99%

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Loop corrections to soft theorems in gauge theories and gravity

Huang

Wen

2014

J. High Energ. Phys.

156

188

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“…, N ). More recently, studies in this direction led to defining an "inverse soft" construction of amplitudes [37][38][39][40][41] by which external particles are added to an amplitude systematically by undoing the universal soft limit. At tree level, it is known that this universality also extends to subleading terms in the expansion of amplitudes in gauge theory and gravity [26,27,[42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Soft theorems from effective field theory

Larkoski

Neill

Stewart

2015

J. High Energ. Phys.

144

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The singular limits of massless gauge theory amplitudes are described by an effective theory, called soft-collinear effective theory (SCET), which has been applied most successfully to make all-orders predictions for observables in collider physics and weak decays. At tree-level, the emission of a soft gauge boson at subleading order in its energy is given by the Low-Burnett-Kroll theorem, with the angular momentum operator acting on a lower-point amplitude. For well separated particles at tree-level, we prove the Low-Burnett-Kroll theorem using matrix elements of subleading SCET Lagrangian and operator insertions which are individually gauge invariant. These contributions are uniquely determined by gauge invariance and the reparametrization invariance (RPI) symmetry of SCET. RPI in SCET is connected to the infinite-dimensional asymptotic symmetries of the S-matrix. The Low-Burnett-Kroll theorem is generically spoiled by on-shell corrections, including collinear loops and collinear emissions. We demonstrate this explicitly both at tree-level and at one-loop. The effective theory correctly describes these configurations, and we generalize the Low-Burnett-Kroll theorem into a new one-loop subleading soft theorem for amplitudes. Our analysis is presented in a manner that illustrates the wider utility of using effective theory techniques to understand the perturbative S-matrix.

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“…The collinear limit occurs when legs k a and k b are collinear, k a · k b −→ 0. Unlike Yang-Mills amplitudes, gravity amplitudes are not singular in the collinear limit, but acquire a "phase-singularity" [32,40]. If k a −→ zK…”

Section: Appendix B: Using Soft Theorems To Construct Amplitudesmentioning

confidence: 99%