eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons

TL;DR

This paper discusses the importance of understanding eta and eta' meson wave functions in non-perturbative QCD, emphasizing how improved measurements can clarify decay processes and potential new physics in charm and beauty hadron decays.

Contribution

It highlights key measurements needed to better determine eta and eta' wave functions, aiding in disentangling decay subprocesses and exploring CP asymmetries in B decays.

Findings

Identifies measurements crucial for eta and eta' wave function determination

Shows how these wave functions impact understanding of decay subprocesses

Suggests implications for new physics searches in B decays

Abstract

It has been realized for a long time that knowing the eta and eta^prime wave functions in terms of quark and gluon components probes our understanding of non-perturbative QCD dynamics. Great effort has been given to this challenge -- yet no clear picture has emerged even with the most recent KLOE data. We point out which measurements would be most helpful in arriving at a more definite conclusion. A better knowledge of these wave functions will significantly help to disentangle the weight of different decay subprocesses in semi-leptonic decays of D+, Ds^+ and B+ mesons. The resulting insights will be instrumental in treating even non-leptonic B transitions involving eta and eta^prime and their CP asymmetries; thus they can sharpen the case for or against New Physics intervening there.