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  • Open Access

Subleading Color Corrections at Three Loops to the tr(ϕ2) Three-Point Form Factor in N=4 Supersymmetric Yang-Mills Theory

Xin Guan*, Bernhard Mistlberger†, and Michael Ruf‡

  • *Contact author: guanxin@slac.stanford.edu
  • †Contact author: bernhard.mistlberger@gmail.com
  • ‡Contact author: mruf@slac.stanford.edu
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Phys. Rev. Lett. 136, 161601 – Published 23 April, 2026

DOI: https://doi.org/10.1103/hhhf-q3vb

Abstract

We compute three-loop corrections to the three-point form factor of the operator tr(ϕ2) in N=4 supersymmetric Yang-Mills theory. In particular, our result is valid beyond the leading-color limit and will consequently be an important input towards extending the amplitude-bootstrap program beyond the leading-color approximation. We find that our analytic formulae are strikingly compact expressions in terms of integer linear combinations of generalized polylogarithms of weight six.

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Phys. Rev. Lett. 136, 161601– Published 23 April, 2026
  • Received 25 November 2025
  • Accepted 20 February 2026
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