Seminarium "High Energy, Cosmology and Astro-particle Physics (HECA)"

In this talk, I will report about the special role of the Litim-Sannino model for the Asymptotic Safety program, and present a high-precision estimate for the conformal window of its interacting UV fixed point. Four loop gauge, three loop Yukawa and three loop quartic beta functions are computed both by a direct loop calculation and by generalizing existing literature results. The UV fixed point and corresponding critical exponents are obtained at N3LO in the conformal expansion. Several approaches to estimate the conformal window are applied, and the phenomena behind the disappearance of the fixed point are discussed.