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The cusp anomalous dimension at three loops and beyond

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Abstract

We derive an analytic formula at three loops for the cusp anomalous dimension Γcusp(ϕ) in \( \mathcal{N} = {4} \) super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the corresponding three loops quark anti-quark potential. Our result also determines a considerable part of the three- loop cusp anomalous dimension in QCD. Finally, we consider a limit in which only ladder diagrams contribute to physical observables. In that limit, a precise agreement with strong coupling is observed.

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Authors and Affiliations

  1. Instituto de Física La Plata, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina

    Diego Correa

  2. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Johannes Henn, Juan Maldacena & Amit Sever

  3. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2J 2W9, Canada

    Amit Sever

Authors
  1. Diego Correa
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  2. Johannes Henn
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  3. Juan Maldacena
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  4. Amit Sever
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Correspondence to Amit Sever.

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ArXiv ePrint: 1203.1019

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Correa, D., Henn, J., Maldacena, J. et al. The cusp anomalous dimension at three loops and beyond. J. High Energ. Phys. 2012, 98 (2012). https://doi.org/10.1007/JHEP05(2012)098

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