Theta--instantons in SU(2) Higgs theory

TL;DR

This paper studies classical Theta-instanton solutions in SU(2)-Higgs theory, calculating suppression exponents for topology-changing processes relevant to baryon and lepton number violation in the Standard Model at low energies.

Contribution

It provides a detailed description of Theta-instanton solutions and computes suppression exponents for topology-changing transitions in SU(2)-Higgs theory.

Findings

Calculated suppression exponents for low-energy topology-changing processes.

Described classical Theta-instanton solutions in SU(2)-Higgs theory.

Linked instanton solutions to baryon and lepton number violation.

Abstract

We consider topology changing processes in SU(2)--Higgs theory. In the Standard Model of particle physics they are accompanied by baryon--and lepton--number non--conservation. At fixed energy and multiplicity of initial state, these processes are described by classical Theta--instanton solutions. We describe these solutions and calculate the suppression exponents for the probabilities of the topology changing transitions at relatively low energies.