Lorentz and permutation invariants of particles III: constraining non-standard sources of parity violation

TL;DR

This paper develops a systematic method to identify all possible signals of non-standard parity violation in particle physics data by constructing Lorentz and permutation invariant variables, enhancing detection sensitivity without relying heavily on simulations.

Contribution

It introduces a comprehensive framework for enumerating all Lorentz-invariant, permutation-symmetric parity-odd variables capable of revealing non-standard parity violation in particle data.

Findings

Provides a systematic construction of parity-odd variables.

Ensures variables can detect any Lorentz-invariant parity violation.

Applicable to data with specific permutation symmetries.

Abstract

Comparisons of the positive and negative halves of the distributions of parity-odd event variables in particle-physics experimental data can provide sensitivity to sources of non-standard parity violation. Such techniques benefit from lacking first-order dependence on simulations or theoretical models, but have hitherto lacked systematic means of enumerating all discoverable signals. To address that issue this paper seeks to construct sets of parity-odd event variables which may be proved to be able to reveal the existence of any Lorentz-invariant source of non-standard parity violation which could be visible in data consisting of groups of real non space-like four-momenta exhibiting certain permutation symmetries.