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. © SISSA 2013.

Bianchi, M., Leoni, M., Leoni, M., Mauri, A., Penati, S., Santambrogio, A. (2013). ABJM amplitudes and WL at finite N. JOURNAL OF HIGH ENERGY PHYSICS, 2013(9), 1-24 [10.1007/JHEP09(2013)114].

ABJM amplitudes and WL at finite N

BIANCHI, MARCO STEFANO;MAURI, ANDREA;PENATI, SILVIA;
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. © SISSA 2013.
Articolo in rivista - Articolo scientifico
Chern-Simons theory
English
2013
2013
9
1
24
none
Bianchi, M., Leoni, M., Leoni, M., Mauri, A., Penati, S., Santambrogio, A. (2013). ABJM amplitudes and WL at finite N. JOURNAL OF HIGH ENERGY PHYSICS, 2013(9), 1-24 [10.1007/JHEP09(2013)114].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/48118
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