Probing CP violation systematically in differential distributions

TL;DR

This paper systematically investigates how to optimize the detection of CP violation in particle decays by analyzing differential distributions and constructing asymmetries with enhanced sensitivity.

Contribution

It introduces generalized methods for probing CP violation that rely less on specific process details, improving sensitivity in experimental analyses.

Findings

Well-defined asymmetries can be constructed with better sensitivity.

Systematic generalizations can utilize more information from distributions.

The approach is demonstrated with spinless four-body decays.

Abstract

We revisit the topic of triple-product asymmetries which probe CP violation through differential distributions. We construct distributions with well-defined discrete symmetry properties and characterize the asymmetries formed upon them. It is stressed that the simplest asymmetries may not be optimal. We explore systematic generalizations having limited reliance on the process dynamics and phase-space parametrization. They exploit larger fractions of the information contained in differential distributions and may lead to increased sensitivities to CP violation. Our detailed treatment of the case of spinless four-body decays paves the way for further experimental studies.