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ABJM amplitudes and WL at finite N

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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.

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Article Open access 22 October 2019

Federico Buccioni, Jean-Nicolas Lang, … Max F. Zoller

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Authors and Affiliations

  1. Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489, Berlin, Germany

    Marco S. Bianchi

  2. Dipartimento di Fisica dell’Università degli studi di Milano, via Celoria 16, I-20133, Milano, Italy

    Marta Leoni & Andrea Mauri

  3. INFN — Sezione di Milano, via Celoria 16, I-20133, Milano, Italy

    Marta Leoni, Andrea Mauri & Alberto Santambrogio

  4. Physics Department, FCEyN-UBA & IFIBA-CONICET, Ciudad Universitaria, Pabellón I, 1428, Buenos Aires, Argentina

    Matias Leoni

  5. Dipartimento di Fisica, Università degli studi di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy

    Silvia Penati

  6. INFN — Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126, Milano, Italy

    Silvia Penati

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  1. Marco S. Bianchi
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  2. Marta Leoni
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  3. Matias Leoni
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  4. Andrea Mauri
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  6. Alberto Santambrogio
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Correspondence to Marco S. Bianchi.

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ArXiv ePrint: 1306.3243

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Bianchi, M.S., Leoni, M., Leoni, M. et al. ABJM amplitudes and WL at finite N . J. High Energ. Phys. 2013, 114 (2013). https://doi.org/10.1007/JHEP09(2013)114

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