English

The $\epsilon'/\epsilon$-Story: 1976-2021

High Energy Physics - Phenomenology 2021-02-24 v2 High Energy Physics - Experiment High Energy Physics - Lattice

Abstract

The ratio ϵ/ϵ\epsilon'/\epsilon measures the size of the direct CP violation in KLππK_L\to\pi\pi decays (ϵ)(\epsilon^\prime) relative to the indirect one described by ϵ\epsilon and is very sensitive to new sources of CP violation. As such it played a prominent role in particle physics already for 45 years. Due to the smallness of ϵ/ϵ\epsilon'/\epsilon its measurement required heroic efforts in the 1980s and the 1990s on both sides of the Atlantic with final results presented by NA48 and KTeV collaborations 20 years ago. Unfortunately, even 45 years after the first calculation of ϵ/ϵ\epsilon'/\epsilon we do not know to which degree the Standard Model agrees with this data and how large is the room left for new physics contributions to this ratio. This is due to significant non-perturbative (hadronic) uncertainties accompanied by partial cancellation between the QCD penguin contributions and electroweak penguin contributions. While the significant control over the short distance perturbative effects has been achieved already in the early 1990s, with several improvements since then, different views on the non-perturbative contributions to ϵ/ϵ\epsilon'/\epsilon have been expressed by different authors over last thirty years. In fact even today the uncertainty in the room left for NP contributions to ϵ/ϵ\epsilon'/\epsilon is very significant. My own work on ϵ/ϵ\epsilon'/\epsilon started in 1983 and involved both perturbative and non-perturbative calculations. This writing is a non-technical recollection of the steps which led to the present status of ϵ/ϵ\epsilon'/\epsilon including several historical remarks not known to everybody. The present status of the ΔI=1/2\Delta I=1/2 rule is also summarized. This story is dedicated to Jean-Marc Gerard on the occasion of the 35th anniversary of our collaboration and his 64th birthday.

Keywords

Cite

@article{arxiv.2101.00020,
  title  = {The $\epsilon'/\epsilon$-Story: 1976-2021},
  author = {Andrzej J. Buras},
  journal= {arXiv preprint arXiv:2101.00020},
  year   = {2021}
}

Comments

31 pages, in V2 misprints in the text removed, footnote 9 improved. Matches published version