Factorization method in the model of unstable particles with a smeared mass

TL;DR

This paper introduces a factorization method for processes involving unstable particles with a smeared mass, enabling universal and exact representation of decay rates and cross-sections, supported by phenomenological analysis.

Contribution

It presents a novel factorization approach based on smeared mass models that simplifies calculations involving unstable particles in intermediate states.

Findings

Decay rates and cross-sections can be universally factorized.

Exact factorization is due to the structure of unstable particle propagators.

Phenomenological analysis confirms the effectiveness of the method.

Abstract

The method of factorization, based on the model of unstable particles with a smeared mass, is applied to the processes with an unstable particle in the intermediate state. It was shown, that in the framework of the method suggested, the decay rate and cross-section can be represented in the universal factorized form for an arbitrary set of particles. An exact factorization is caused by the specific structure of unstable particles propagators. We performed the phenomenological analysis of the factorization effect.