Relativistic Voigt profile for unstable particles in high energy physics
Rados{\l}aw A. Kycia, Stanis{\l}aw Jadach
TL;DR
This paper rigorously defines the relativistic Voigt profile used in high energy physics, providing a clear mathematical foundation for its properties, similar to the well-understood nonrelativistic case.
Contribution
It offers the first strict derivation and formal definition of the relativistic Voigt profile in particle physics.
Findings
Provides a rigorous mathematical formulation of the relativistic Voigt profile.
Clarifies the properties and behavior of the relativistic profile.
Bridges the gap between optical spectroscopy and high energy physics applications.
Abstract
The Voigt profile is one of the most used special function in optical spectroscopy. In particle physics a version of this profile which originates from relativistic Breit-Wigner resonance distribution often appears, however, in the literature there is no strict derivation of its properties. The purpose of this paper is to define properly relativistic Voigt profile and describe it along the same way as their standard nonrelativistic counterparts.
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