Covariant reggeization framework for diffraction. Part I: Hadronic tensors in Minkovsky space-time of any dimension

TL;DR

This paper develops a covariant reggeization framework for hadronic diffraction, utilizing irreducible tensor representations of the Poincare group in any dimension to systematically expand hadronic tensors and compute diffractive cross-sections.

Contribution

It introduces a general covariant reggeization approach based on irreducible tensor representations, applicable in any spacetime dimension, for analyzing hadronic diffraction.

Findings

Derived irreducible tensor representations of the Poincare group in arbitrary dimensions.

Established a method to expand hadronic tensors using these irreducible tensors.

Provided basic functions for calculating diffractive cross-sections.

Abstract

In this paper we consider the general structure of irreducible tensor representations of the Poincare group of arbitrary dimension with multiple sets of Lorentz indices and different ways to construct them from basic elements (Lorentz vectors and the metric tensor). Then we apply the same methods to obtain the expansion of general hadronic tensors in terms of these irreducible tensors. We propose to use an effective approach in hadronic diffraction, which was usually called covariant reggeization, and obtain basic functions to calculate all the diffractive cross-sections.