Strongly interacting dynamics beyond the standard model on a space-time lattice.

Area of Science:

• High Energy Physics
• Quantum Field Theory
• Beyond Standard Model Physics

Background:

• The Higgs sector of the Standard Model is likely an effective low-energy theory.
• A more fundamental theory is expected around the TeV energy scale, possibly strongly interacting.
• Electroweak symmetry breaking may arise from the low-energy dynamics of this underlying theory.

Purpose of the Study:

• To determine observable quantities in strongly interacting theories proposed for electroweak symmetry breaking.
• To investigate the minimal walking technicolor scenario using numerical simulations.
• To provide phenomenologically relevant data for theories beyond the Standard Model.

Main Methods:

• Numerical simulations using Monte Carlo methods on a space-time lattice.
• Focus on an SU(2) gauge theory with two flavors of fermions in the adjoint representation (minimal walking technicolor).
• Finite size scaling analysis to determine the chiral condensate anomalous dimension.

Main Results:

• The minimal walking technicolor theory exhibits an infrared fixed point that governs large-distance physics.
• First numerical determinations of phenomenologically relevant quantities for this theory are presented.
• The chiral condensate anomalous dimension (gamma) is determined to be in the range 0.05 ≤ gamma ≤ 0.25.

Conclusions:

• Lattice techniques are valuable for quantitative studies of strongly interacting theories beyond the Standard Model.
• The minimal walking technicolor scenario provides a promising framework for understanding electroweak symmetry breaking.
• Further research will refine these calculations and explore other beyond-Standard-Model scenarios.