Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras.

Marc Bellon (1, 2, 3) , Fidel Schaposnik (2, 3)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 Departamento de Física [La Plata]
3 CEFIMAS - Centro de Física y Matemática de América del Sur [Buenos Aires]

We obtain the contributions to the renormalization group functions of all the diagrams containing the unique one-loop primitive divergence of a simple supersymmetric Wess--Zumino model, up to more than 200 loops. The asymptotic behavior of the coefficients in the expansion of the anomalous dimension is analyzed.

Mots clés: Renormalization; Hopf algebras; high-order computations; supersymmetry

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Marc Bellon, Fidel Schaposnik. Renormalization group functions for the Wess-Zumino model: up to 200 loops through Hopf algebras.. Nuclear Physics B, 2008, 800, pp.517-526. ⟨10.1016/j.nuclphysb.2008.02.005⟩. ⟨hal-00202302v2⟩