Angular distribution and rotations of frame in vector meson decays into lepton pairs

TL;DR

This paper explores how the angular distribution of lepton pairs from vector meson decays varies with reference frame choice, offering a geometric framework and invariant relations to understand these transformations.

Contribution

It introduces a geometric description of angular distribution coefficient transformations and discusses invariant expressions and bounds for vector meson decay analyses.

Findings

Derived bounds and consistency relations for angular coefficients

Provided a geometric framework for frame transformations

Identified invariant expressions involving angular distribution coefficients

Abstract

We discuss how the angular distribution of lepton pairs from decays of vector mesons depends on the choice of reference frame, and provide a geometrical description of the transformations of the coefficients of the angular distribution. Invariant expressions involving all coefficients are discussed, together with bounds and consistency relations.