Strongly Interacting Dynamics beyond the Standard Model on a Spacetime Lattice

Abstract

Strong theoretical arguments suggest that the Higgs sector of the Standard Model of the Electroweak interactions is an effective low-energy theory, with a more fundamental theory that is expected to emerge at an energy scale of the order of the TeV. One possibility is that the more fundamental theory be strongly interacting and the Higgs sector be given by the low-energy dynamics of the underlying theory. We review recent works aimed to determining observable quantities by numerical simulations of strongly interacting theories proposed in the literature for explaining the Electroweak symmetry breaking mechanism. These investigations are based on Monte Carlo simulations of the theory formulated on a spacetime lattice. We focus on the so-called Minimal Walking Technicolour scenario, a SU(2) gauge theory with two flavours of fermions in the adjoint representation. The emerging picture is that this theory has an infrared fixed point that dominates the large distance physics. We shall discuss the first numerical determinations of quantities of phenomenological interest for this theory and analyse future directions of quantitative studies of strongly interacting beyond the Standard Model theories with Lattice techniques. In particular, we report on a finite size scaling determination of the chiral condensate anomalous dimension $\gamma$, for which we find $0.05\le \gamma \le 0.25$.

Minor corrections and clarifications of some points, conclusions unchanged

References in corpus (8)

• Conformal vs confining scenario in SU(2) with adjoint fermions
• Mass anomalous dimension in SU(2) with two adjoint fermions
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• The Conformal Window from the Worldline Formalism
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• Higher Representations Duals
• Probes of nearly conformal behavior in lattice simulations of minimal walking technicolor

Cited by in corpus (12)

• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Improved Lattice Spectroscopy of Minimal Walking Technicolor
• Large mass hierarchies from strongly-coupled dynamics
• Meson spectra of asymptotically free gauge theories from holography
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Infrared conformality and bulk critical points: SU(2) with heavy adjoint quarks
• On the Landau-gauge adjoint quark propagator
• Topology of Minimal Walking Technicolor
• Numerical results for gauge theories near the conformal window
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit