Valley Method Versus Instanton-Induced Effective Lagrangean Up to $(E/E_{\mathrm{sphaleron}}{)}^{8/3}$

Abstract

We compare the two most popular approaches to the problem of instanton-antiinstanton interaction at high energies - the valley method and the effective-Lagrangian approach - and use them to calculate the next-to-next-to-leading term in the expansion of ``holy grail'' function determining the cross section with baryon number violation in the Standard Model.

46 pages, LaTeX, UFTP 323/1992, and PSU/TH/119

Cited by in corpus (13)

• Instantons in QCD
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Electroweak instantons/sphalerons at VLHC?
• Cooling, Physical Scales and Topology
• Non-Perturbative Isotropic Multi-Particle Production in Yang--Mills Theory
• Monte Carlo simulation of baryon and lepton number violating processes at high energies
• An upper bound on the total cross-section for electroweak baryon number violation
• Instantons in the Saturation Environment
• Suppression of Electroweak Instanton Processes in High-energy Collisions
• Limits on Electroweak Instanton-Induced Processes with Multiple Boson Production
• Constrained Instanton and Baryon Number Non--Conservation at High Energies
• Renormalons as dilatation modes in the functional space
• Machine Learning Classification of Sphalerons and Black Holes at the LHC