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ABJM amplitudes and WL at finite N

Authors :
Bianchi, Marco S.
Leoni, Marta
Leoni, Matias
Mauri, Andrea
Penati, Silvia
Santambrogio, Alberto
Source :
JHEP09(2013)114
Publication Year :
2013

Abstract

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.<br />Comment: 27 pages, 5 figures, result for ABJ form factor corrected

Subjects

Subjects :
High Energy Physics - Theory

Details

Database :
arXiv
Journal :
JHEP09(2013)114
Publication Type :
Report
Accession number :
edsarx.1306.3243
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP09(2013)114