Two-loop Sudakov form factor in ABJM

We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.

Section: Introductionsupporting

confidence: 87%

“…Very recently, an analysis of the form factors has been initiated also for the ABJM model, where computations for BPS operators have been performed through unitarity cuts [49] and component Feynman diagrams formalism [50].…”

Section: Introductionmentioning

confidence: 99%

ABJM amplitudes and WL at finite N

Bianchi

Leoni

et al. 2013

“…Generalized unitarity can also be applied to objects containing local gauge-invariant operators such as correlation functions [5] and form factors [6,7,[26][27][28][29][30][31][32][33][34][35][36]. Since generalized unitarity is a momentum space method, the local operators will have to be Fourier transformed.…”

Section: Generalized Unitaritymentioning

confidence: 99%

Lagrangian insertion in the light-like limit and the super-correlators/super-amplitudes duality

Engelund

2016

In these notes we describe how to formulate the Lagrangian insertion technique in a way that mimics generalized unitarity. We introduce a notion of cuts in position space and show that the cuts of the correlators in the super-correlators/super-amplitudes duality correspond to generalized unitarity cuts of the equivalent amplitudes. The cuts consist of correlation functions of operators in the chiral part of the stress-tensor multiplet as well as other half-BPS operators. We will also discuss the application of the method to other correlators as well as non-planar contributions.

“…An alternative discussion on the master integrals of form factor in massless QCD can be found in [37]. Similar unitarity based studies on Sudakov form factor of three-dimensional ABJM theories are also explored [38][39][40].…”

Section: Jhep06(2016)072mentioning

confidence: 98%

Form factor and boundary contribution of amplitude

Huang

Jin

Feng

2016

The boundary contribution of an amplitude in the BCFW recursion relation can be considered as a form factor involving boundary operator and unshifted particles. At the tree-level, we show that by suitable construction of Lagrangian, one can relate the leading order term of boundary operators to some composite operators of N = 4 superYang-Mills theory, then the computation of form factors is translated to the computation of amplitudes. We compute the form factors of these composite operators through the computation of corresponding double trace amplitudes.