Weinberg's 2-factor from helicity constraints

TL;DR

This paper demonstrates that Weinberg's soft factor can be derived independently using helicity constraints, leading to a simplified calculation method for one or two particle cases.

Contribution

It introduces a new approach to compute Weinberg's soft factor from Wigner constraints, independent of the full scattering amplitude.

Findings

Soft factor derivable from helicity constraints

Partial differential equations simplify calculations

Method applicable to one and two particle cases

Abstract

Scattering amplitudes connect theoretical descriptions to experimental predictions. Low energy terms of the scattering amplitude tend to factorize from the high energy. Different methods have already been established to understand the mechanism of such factorization, Weinberg's theorem. With regard to the Weinberg soft factor, calculations have already shown that this factor has an universal property. In this talk, we show that it is possible to calculate this factor independently from the scattering amplitude based on the Wigner constraints. We also show that such constraints lead us to a system of partial differential equation that simplifies the construction of the Weinberg's soft factor for the case of one particle or two particles.