Amplitudes in fishnet theories in diverse dimensions and box ladder diagrams

Bork, L. V.; Iakhibbaev, R. M.; Muzhichkov, N.B.; Sozinov, E. S.

doi:10.1007/jhep02(2021)185

Cited by 8 publications

(3 citation statements)

References 58 publications

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“…The above analysis can be extended to determine four-point color ordered scattering amplitudes in the conformal fishnet theory in d = 6 dimensions [30]. Another approach to computing scattering amplitudes in fishnet theories was developed in [31].…”

Section: Regge Trajectoriesmentioning

confidence: 99%

The SAGEX review on scattering amplitudes Chapter 9: Integrability of amplitudes in fishnet theories

Chicherin¹,

Korchemsky²

2022

J. Phys. A: Math. Theor.

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We discuss the properties of scattering amplitudes in a conformal bi-scalar fishnet theory that previously appeared in the study of integrable deformations of N=4 SYM. In distinction with the latter theory, the scattering amplitudes in the conformal fishnet theory do not suffer from infrared divergences and possess enhanced symmetries. We demonstrate that for the simplest four-particle scattering the single- and double-trace partial amplitudes can be computed for arbitrary coupling in the leading color approximation. We also review the invariance of single-trace components of multi-particle fishnet amplitudes in the leading color limit under infinite-dimensional Yangian symmetry.

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Section: Regge Trajectoriesmentioning

confidence: 99%

The SAGEX review on scattering amplitudes Chapter 9: Integrability of amplitudes in fishnet theories

Chicherin¹,

Korchemsky²

2022

J. Phys. A: Math. Theor.

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show abstract

“…The above analysis can be extended to determine four-point colour ordered scattering amplitudes in the conformal fishnet theory in d = 6 dimensions [30]. Another approach to computing scattering amplitudes, based on a reformulation of the fishnet theory in twistor space, was developed in [31].…”

Section: Regge Trajectoriesmentioning

confidence: 99%

The SAGEX Review on Scattering Amplitudes, Chapter 9: Integrability of Amplitudes in Fishnet Theories

Chicherin¹,

Korchemsky²

2022

Preprint

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We discuss the properties of scattering amplitudes in a conformal biscalar fishnet theory that previously appeared in the study of integrable deformations of N = 4 SYM. In distinction with the latter theory, the scattering amplitudes in the conformal fishnet theory do not suffer from infrared divergences and possess enhanced symmetries. We demonstrate that for the simplest four-particle scattering the singleand double-trace partial amplitudes can be computed for arbitrary coupling in the leading color approximation. We also review the invariance of single-trace components of multi-particle fishnet amplitudes in the leading color limit under infinite-dimensional Yangian symmetry.

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“…This allows us to avoid working with the full P B integral in general kinematics. We are going to address the evaluation of the PentaBox integral in general kinematics in a separate upcoming publication [51].…”

Section: Jhep08(2022)173mentioning

confidence: 99%

Infrared properties of five-point massive amplitudes in $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

Bork

Muzhichkov

Sozinov

2022

J. High Energ. Phys.

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We investigate the structure of the five-point W boson scattering amplitude in $$ \mathcal{N} $$ N = 4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the Γoct anomalous dimension similar to the four-point amplitude case considered recently in the literature. We also make a conjecture regarding the all-loop structure of the five-point amplitude.

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Amplitudes in fishnet theories in diverse dimensions and box ladder diagrams

Cited by 8 publications

References 58 publications

The SAGEX review on scattering amplitudes Chapter 9: Integrability of amplitudes in fishnet theories

The SAGEX review on scattering amplitudes Chapter 9: Integrability of amplitudes in fishnet theories

The SAGEX Review on Scattering Amplitudes, Chapter 9: Integrability of Amplitudes in Fishnet Theories

Infrared properties of five-point massive amplitudes in $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

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