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Form factor recursion relations at loop level

Journal of High Energy Physics volume 2019, Article number: 182 (2019) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We introduce a prescription to define form factor integrands at loop level in planar \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory. This relies on a periodic kinematic configuration that has been instrumental to describe form factors at strong coupling in terms of periodic Wilson loops. With this prescription, we are able to formulate loop-level recursion relations for planar form factor integrands, using a two-line (BCFW) and an all-line shift. We also point out important differences with the known recursion relations of integrands of planar loop amplitudes. We present a number of concrete one-loop examples to illustrate and validate our prescription for form factor integrands.

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Authors and Affiliations

  1. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, U.K.

    Lorenzo Bianchi, Andreas Brandhuber, Rodolfo Panerai & Gabriele Travaglini

  2. Institut für Physik und IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489, Berlin, Germany

    Gabriele Travaglini

Authors
  1. Lorenzo Bianchi
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  2. Andreas Brandhuber
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  3. Rodolfo Panerai
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  4. Gabriele Travaglini
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Correspondence to Rodolfo Panerai.

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ArXiv ePrint: 1812.09001

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Bianchi, L., Brandhuber, A., Panerai, R. et al. Form factor recursion relations at loop level. J. High Energ. Phys. 2019, 182 (2019). https://doi.org/10.1007/JHEP02(2019)182

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Keywords

  • Scattering Amplitudes
  • Supersymmetric Gauge Theory