Perturbative realization of Miransky scaling

Near conformal dynamics is employed in different extensions of the standard model of particle interactions as well as in cosmology. Many of its interesting properties are either conjectured or determined using model computations. We introduce a relevant four-dimensional gauge theory template allowing us to investigate such dynamics perturbatively. The gauge theory we consider is quantum chromodynamics with the addition of a mesonlike scalar degree of freedom as well as an adjoint Weyl fermion. At the two-loop level, and in the Veneziano limit, we firmly establish the existence of several fixed points of which one is all directions stable in the infrared. An interesting feature of the model is that this fixed point is lost within the perturbative regime by merging with another fixed point when varying the number of quark flavors. We show the emergence of Miransky scaling and determine its properties. The theory exhibits walking behavior in the region close to the lower bound of the conformal window, and by providing a suitable definition we determine the walking region. Finally, we also determine the anomalous dimension of the fermion mass, which is a highly relevant quantity for near conformal dynamics. © 2012 American Physical Society.