Journal of High Energy Physics

, 2018:76 | Cite as

Tr(F3) supersymmetric form factors and maximal transcendentality. Part I. \( \mathcal{N} \) = 4 super Yang-Mills

  • Andreas Brandhuber
  • Martyna Kostacińska
  • Brenda PenanteEmail author
  • Gabriele Travaglini
Open Access
Regular Article - Theoretical Physics


In the large top-mass limit, Higgs plus multi-gluon amplitudes in QCD can be computed using an effective field theory. This approach turns the computation of such amplitudes into that of form factors of operators of increasing classical dimension. In this paper we focus on the first finite top-mass correction, arising from the operator Tr(F3), up to two loops and three gluons. Setting up the calculation in the maximally supersymmetric theory requires identification of an appropriate supersymmetric completion of Tr(F3), which we recognise as a descendant of the Konishi operator. We provide detailed computations for both this operator and the component operator Tr(F3), preparing the ground for the calculation in \( \mathcal{N} \)< 4, to be detailed in a companion paper. Our results for both operators are expressed in terms of a few universal functions of transcendental degree four and below, some of which have appeared in other contexts, hinting at universality of such quantities. An important feature of the result is a delicate cancellation of unphysical poles appearing in soft/collinear limits of the remainders which links terms of different transcendentality. Our calculation provides another example of the principle of maximal transcendentality for observables with non-trivial kinematic dependence.


Effective Field Theories Scattering Amplitudes Supersymmetric Gauge Theory 


Open Access

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Centre for Research in String Theory, School of Physics and AstronomyQueen Mary University of LondonLondonU.K.
  2. 2.CERN Theory DivisionGeneva 23Switzerland

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