Abstract
We present the updated results of the infrared behavior of the SU(2) model with 6 and 8 fundamental representation fermions. We use the gradient flow method with the Schrödinger functional boundary conditions to measure the running of the coupling in these theories and find fixed points on both. We also measure the mass anomalous dimension from these configurations.
Highlights
The search for phenomenologically viable models for beyond the standard model scenarios has led to a studies of a vacuum phase of SU(Nc) gauge theories as a function of N f massless flavors of Dirac fermions
In this paper we focus on the infrared behavior of SU(2) gauge theories, with varying number of fundamental representation massless Dirac fermions
The finite size and cutoff effects in gradient flow coupling depend on the discretizations chosen for the action used for the simulations, the action minimized by the flow, definition of the energy density E(t) and the chosen boundary conditions
Summary
The search for phenomenologically viable models for beyond the standard model scenarios has led to a studies of a vacuum phase of SU(Nc) gauge theories as a function of N f massless flavors of Dirac fermions. In this paper we focus on the infrared behavior of SU(2) gauge theories, with varying number of fundamental representation massless Dirac fermions. Different approximations estimate the lower boundary of conformal window to be NCf ∼ 6 − 8 [5, 6] Both the N f = 6 and N f = 8 have been controversial, with previous studies being inconclusive [4, 7,8,9,10]. In this paper we review the results obtained in [11, 12] In these studies we see a clear indication for the existence of IRFP in the SU(2) gauge theory for both N f = 6 and N f = 8.
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