Factorization in the model of unstable particles with continuous masses

TL;DR

This paper demonstrates that in a model with continuous masses for unstable particles, process amplitudes factorize exactly, simplifying calculations of decay widths and cross sections across various interactions.

Contribution

It introduces a factorization method based on the structure of propagators in the continuous mass model, enabling universal and simplified calculations.

Findings

Exact factorization of amplitudes squared in the model

Universal factorized form for decay widths and cross sections

Simplification of complex calculations with reasonable results

Abstract

We study processes with unstable particles in intermediate time-like states. It is shown that the amplitudes squared of such processes factor exactly in the framework of the model of unstable particles with continuous masses. Decay widths and cross sections can then be represented in a universal factorized form for an arbitrary set of interacting particles. This exact factorization is caused by specific structure of propagators in the model. We formulate the factorization method and perform a phenomenological analysis of the factorization effects. The factorization method considerably simplifies calculations while leading to compact and reasonable results.