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

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.

66 pages, 2 figures; v2: typos corrected + added "Preamble concerning ..." sec before Introduction; v3: fixed comment in reference implementation, and updated bibliography; v4: typos fixed and (anc) implementation replaced with better one; v5: fixed an incorrect statement in preamble and another in Sec 6, and added new Corollary 5.3, v6: clarifications added at suggestion of referee

References in corpus (3)

• Lorentz Group Equivariant Neural Network for Particle Physics
• A method to challenge symmetries in data with self-supervised learning
• Chiral Measurements

Cited by in corpus (1)

• Hunting for vampires and other unlikely forms of parity violation at the Large Hadron Collider