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T: Fachverband Teilchenphysik

T 13: Theorie: QFT / Gittereichtheorie

T 13.5: Talk

Monday, March 19, 2018, 17:00–17:15, Z6 - SR 1.013

Asymptotic freedom in Higgs-top-QCD model — •Alessandro Ugolotti, Holger Gies, Luca Zambelli, and René Sondenheimer — TPI, FSU Jena

We investigate the existence of asymptotically free trajectories for Higgs-top-QCD models by exploiting generalized boundary conditions. We construct quasi-fixed points for the scalar Higgs potential within different approximation schemes. We substantiate our findings first in standard perturbation theory for renormalizable couplings, then refine these results within an effective-field-theory approach, and obtain a comprehensive picture using the functional renormalization group. We infer the existence of scaling solutions also by means of a weak-Yukawa-coupling expansion in the far ultraviolet. In the same regime we discuss the stability of the quasi-fixed point solutions for large field. We provide further evidence for such asymptotically free theories by numerical studies using pseudo-spectral and shooting methods.