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arXiv · 1901.08581

Scheme dependence of asymptotically free solutions

Holger Gies·René Sondenheimer·Alessandro Ugolotti·Luca Zambelli
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Abstract

Recent studies have provided evidence for the existence of new asymptotically free trajectories in non-Abelian particle models without asymptotic symmetry in the high-energy limit. We extend these results to a general ${\rm SU}(N_{\rm L})\times {\rm SU}(N_{\rm c})$ Higgs-Yukawa model that includes the non-Abelian sector of the standard model, finding further confirmation for such scenarios for a wide class of regularizations that account for threshold behavior persisting to highest energies. We construct these asymptotically free trajectories within conventional $\overline{\text{MS}}$ schemes and systematic weak coupling expansions. The existence of these solutions is argued to be a scheme-independent phenomenon, as demonstrated for mass-dependent schemes based on general momentum-space infrared regularizations. A change of scheme induces a map of the theory's coupling space onto itself, which in the present case also translates into a reparametrization of the space of asymptotically free solutions.

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Holger Gies, René Sondenheimer, Alessandro Ugolotti, Luca Zambelli. 2019-01-24. Scheme dependence of asymptotically free solutions. https://doi.org/10.1140/epjc%2Fs10052-019-6956-4

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