A note on connected formula for form factors

He, Song; Liu, Zhengwen

doi:10.1007/jhep12(2016)006

Cited by 28 publications

(30 citation statements)

References 97 publications

(151 reference statements)

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“…In the limit, it can be viewed as a very non-trivial generalization of earlier four-dimensional results on form factors for F 2 operator [48] and those in N = 4 SYM [49]. An outstanding open question in this direction is about extending the construction to include multiple insertions of operators.…”

Section: Discussionmentioning

confidence: 86%

New formulas for amplitudes from higher-dimensional operators

Zhang

2017

J. High Energ. Phys.

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In this paper we study tree-level amplitudes from higher-dimensional operators, including F 3 operator of gauge theory, and R 2 , R 3 operators of gravity, in the Cachazo-He-Yuan formulation. As a generalization of the reduced Pfaffian in Yang-Mills theory, we find a new, gauge-invariant object that leads to gluon amplitudes with a single insertion of F 3 , and gravity amplitudes by Kawai-Lewellen-Tye relations. When reduced to four dimensions for given helicities, the new object vanishes for any solution of scattering equations on which the reduced Pfaffian is non-vanishing. This intriguing behavior in four dimensions explains the vanishing of graviton helicity amplitudes produced by the Gauss-Bonnet R 2 term, and provides a scattering-equation origin of the decomposition into self-dual and anti-self-dual parts for F 3 and R 3 amplitudes.

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Section: Discussionmentioning

confidence: 86%

New formulas for amplitudes from higher-dimensional operators

Zhang

2017

J. High Energ. Phys.

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“…In analogy with the amplitude connected prescription [24], in [29] and [30] a similar formula was obtained for form factors of the chiral part of the stress tensor operator. This representation was given an ambitwistor string interpretation in [29] and [16].…”

Section: Brief Review Of the Connected Prescription And Link Represenmentioning

confidence: 92%

“…For scattering amplitudes, there exists a second way of obtaining the general tree-level contour for the Graßmannian integral in a compact closed form, namely the connected prescription [28] derived from the twistor string. In the following sections, we study the analogous connected formula for form factors [30,29].…”

Section: Mhv Amplitude × Mhv Form Factormentioning

confidence: 99%

A note on NMHV form factors from the Graßmannian and the twistor string

Meidinger

Nandan

Penante

et al. 2017

J. High Energ. Phys.

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In this note we investigate Graßmannian formulas for form factors of the chiral part of the stress-tensor multiplet in N = 4 superconformal Yang-Mills theory. We present an all-n contour for the G(3, n + 2) Graßmannian integral of NMHV form factors derived from on-shell diagrams and the BCFW recursion relation. In addition, we study other G(3, n + 2) formulas obtained from the connected prescription introduced recently. We find a recursive expression for all n and study its properties. For n ≥ 6, our formula has the same recursive structure as its amplitude counterpart, making its soft behaviour manifest. Finally, we explore the connection between the two Graßmannian formulations, using the global residue theorem, and find that it is much more intricate compared to scattering amplitudes.

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“…Up to the moment we already have scattering equations (connected prescription) representations for the form factors of operators from stress-tensor operator supermultiplet and scalar operators of the form Tr(φ m ) [70,71]. Also the connected prescription formulae were extended to Standard Model amplitudes [72].…”

Section: Conclusion 35mentioning

confidence: 99%

Four-dimensional ambitwistor strings and form factors of local and Wilson line operators

Bork

Onishchenko

2018

Phys. Rev. D

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We consider the description of form factors of local and Wilson line operators (Reggeon amplitudes) in N ¼ 4 Supersymmetric Yang-Mills theory within the framework of four-dimensional ambitwistor string theory. We present the explicit expressions for string composite operators corresponding to stress-tensor operator supermultiplet and Wilson line operator insertion. It is shown that corresponding tree level string correlation functions correctly reproduce previously obtained Grassmannian integral representations. As a by-product we derive four-dimensional tree-level scattering equation representations for the mentioned form factors and formulate a simple gluing procedure used to relate operator form factors with on-shell amplitudes.

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A note on connected formula for form factors

Cited by 28 publications

References 97 publications

New formulas for amplitudes from higher-dimensional operators

New formulas for amplitudes from higher-dimensional operators

A note on NMHV form factors from the Graßmannian and the twistor string

Four-dimensional ambitwistor strings and form factors of local and Wilson line operators

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