# Impact of Non-perturbative QCD on CP Violation in Many-Body Final States of Flavor Transitions

## TL;DR

This paper discusses how non-perturbative QCD influences CP asymmetries in many-body final states of charm and beauty hadrons, highlighting the challenges and strategies for understanding underlying dynamics and potential new physics effects.

## Contribution

It introduces a strategy to analyze non-perturbative QCD effects on CP violation in many-body final states, emphasizing correlations and parameterizations akin to CKM matrix approaches.

## Key findings

- CP violation observed in D0 decays to h+h-
- Non-perturbative QCD effects are crucial for understanding CP asymmetries
- Potential impact of New Dynamics on CP violation in kaon and J/psi decays

## Abstract

The title of my talk pointed out central statements: the impact of non-perturbative QCD on {\bf CP} asymmetries in many-body FS in charm \& beauty hadrons. For practical reasons one measures first {\bf CP} violation in two-body final states of heavy flavor hadrons. However, those are small parts of charm hadrons and tiny ones for beauty hadrons; therefore one has to probe {\bf CP} asymmetries in three- \& four-body final states. Thus the transitions to the many-body FS basically give information about the underlying dynamics. The impact of non-perturbative QCD on {\bf CP} asymmetries in many-body FS shows that -- in principle; it is a true challenge even in a semi-quantitative way. One needs correlations with other transitions. That is my strategy; however, I have to discuss the tactics on the same level like using consistent parameterization of the CKM matrix. Our community has entered a novel era: direct {\bf CP} violation has been found in $D^0 \to h^+h^-$ decays \cite{CHARM}. Finally I give short comments about the possible impact of New Dynamics on direct {\bf CP} violation in $K_L \to 2 \pi$ and probe {\bf CP} asymmetry in $J/\psi \to \bar \Lambda \Lambda$ transitions.