Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II

TL;DR

This paper analyzes the spectral properties of the Hamiltonian describing the weak decay of W bosons, demonstrating purely absolutely continuous spectrum in a specific energy range without regularization assumptions.

Contribution

It applies Mourre theory to establish spectral properties of the weak interaction Hamiltonian without relying on high-energy cutoffs or infrared regularization.

Findings

Spectrum between ground state and first threshold is purely absolutely continuous

No high-energy cutoff or infrared regularization needed

Spectral analysis advances understanding of weak decay models

Abstract

We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W+/-. Using Mourre theory, it is shown that the spectrum between the unique ground state and the first threshold is purely absolutely continuous. Neither sharp neutrino high energy cutoff nor infrared regularization are assumed.