# Higher order RG flow on the Wilson line in N $$ \mathcal{N} $$ = 4 SYM

@article{Beccaria2022HigherOR, title={Higher order RG flow on the Wilson line in N \$\$ \mathcal\{N\} \$\$ = 4 SYM}, author={Matteo Beccaria and Simone Giombi and Arkady A. Tseytlin}, journal={Journal of High Energy Physics}, year={2022}, volume={2022}, pages={1-28} }

Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the planar weak-coupling expansion. The beta-function for ζ has fixed points at ζ = ±1 and ζ = 0, corresponding respectively to the supersymmetric Wilson-Maldacena loop and to the standard Wilson loop without scalar coupling. As a consequence of our result for the beta-function, we obtain a prediction for the…

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