Colorkinematics duality for Sudakov form factor in nonsupersymmetric pure YangMills theory
Abstract
We study the duality between color and kinematics for the Sudakov form factors of $\mathrm{tr}({F}^{2})$ in nonsupersymmetric pure YangMills theory. We construct the integrands that manifest the colorkinematics duality up to two loops. The resulting numerators are given in terms of Lorentz products of momenta and polarization vectors, which have the same powers of loop momenta as that from the Feynman rules. The integrands are checked by ddimensional unitarity cuts and are valid in any dimension. We find that masslessbubble and tadpole topologies are needed at two loops to realize the colorkinematics duality. Interestingly, the twoloop solution contains a large number of free parameters suggesting the duality may hold at higher loop orders.
 Publication:

Communications in Theoretical Physics
 Pub Date:
 June 2022
 DOI:
 10.1088/15729494/ac6dc7
 arXiv:
 arXiv:2204.09407
 Bibcode:
 2022CoTPh..74f5203L
 Keywords:

 scattering amplitudes;
 form factors;
 colorkinematics duality;
 unitarity method;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 v3: 37 pages, 20 figures