The Dynamics of Beauty & Charm Hadrons and top quarks in the Era of the LHCb & Belle II and ATLAS/CMS, Motto: Non-perturbative QCD \& Many-body Final States

TL;DR

This paper emphasizes the importance of non-perturbative QCD methods in understanding flavor dynamics and decay processes of heavy hadrons and top quarks, advocating for a unified approach using Wilsonian OPE and addressing mass definition issues.

Contribution

It introduces a comprehensive framework combining non-perturbative QCD techniques with effective field theories to analyze heavy hadron decays and top quark dynamics.

Findings

Highlighting the limitations of pole mass in non-perturbative QCD

Advocating for Wilsonian OPE in flavor physics

Emphasizing the need for a collaborative approach between MEP and HEP communities

Abstract

Our community has to apply {\em non}-perturbative QCD on different levels of flavor dynamics in strange, charm \& beauty hadrons and even for top quarks. We need {\em consistent} parameterization of the CKM matrix and describe weak decays of beauty hadrons with {\em many-body} final states. It is crucial to use the {\em Wilsonian} OPE as much as possible and discuss "duality" in the worlds of quarks and hadrons. The pole mass of heavy quarks is {\em not} well-defined on the {\em non}-perturbative level -- i.e., it is {\em not} Borel summable in total QCD. We need a novel team to combine the strengths of our tools from MEP and HEP.