MHV Vertices and Scattering Amplitudes in Gauge Theory

Wu, Ju; Zhu, Changjiang

doi:10.1088/1126-6708/2004/07/032

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Introduction3

Jhep10(2004)0741

Appendix a Coplanarity Of Next-to-mhv Tree-level Amplitudes1

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2004

2022

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Cited by 77 publications

(72 citation statements)

References 32 publications

(114 reference statements)

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“…So this gives a candidate off-shell continuation of the all-plus amplitude, but we have found that when inserted in Feynman diagrams such as that of 12b, it does not lead to the right scattering amplitudes. A similar problem in defining appropriate off-shell continuations for MHV gravity amplitudes was found in [16,17].…”

Section: Jhep10(2004)074mentioning

confidence: 64%

Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory

Cachazo¹,

Svrcek²,

Witten³

2004

J. High Energy Phys.

143

204

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Section: Jhep10(2004)074mentioning

confidence: 64%

Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory

Cachazo¹,

Svrcek²,

Witten³

2004

J. High Energy Phys.

143

204

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“…All these amplitudes can be computed using extensions of the MHV diagrams of [4] to the case of fermions and scalars [20,21,22,23]. The basic idea is to use MHV vertices continued off-shell and connected by propagators.…”

Section: Appendix a Coplanarity Of Next-to-mhv Tree-level Amplitudesmentioning

confidence: 99%

Coplanarity in twistor space of N=4 next-to-MHV one-loop amplitude coefficients

Britto¹,

Cachazo²,

Feng³

2005

Physics Letters B

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Next-to-MHV one-loop amplitudes in N = 4 gauge theory can be written as a linear combination of known multivalued functions, called scalar box functions, with coefficients that are rational functions. We consider the localization of these coefficients in twistor space and prove that all of them are localized on a plane. The proof is done by studying the action of differential operators that test coplanarity on the unitarity cuts of the amplitudes.

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“…For other recent work on gravity amplitudes see [24][25][26][27]. For related work on gauge theory amplitudes, see [29]- [40].…”

Section: Introductionmentioning

confidence: 99%

A recursion relation for gravity amplitudes

et al. 2005

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Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes -a rather generic feature of field theory. Motivated by this, we propose a new recursion relation for scattering amplitudes of gravitons at tree level. Using this, we derive a new general formula for the MHV tree-level scattering amplitude for n gravitons. Finally, we comment on the existence of recursion relations in general field theories.

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MHV Vertices and Scattering Amplitudes in Gauge Theory

Cited by 77 publications

References 32 publications

Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory

Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory

Coplanarity in twistor space of N=4 next-to-MHV one-loop amplitude coefficients

A recursion relation for gravity amplitudes

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