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$\epsilon^\prime/\epsilon$-2018: A Christmas Story
High Energy Physics - Phenomenology · Submitted 14 Dec 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this context I will give arguments, why I am convinced about the presence of new physics in $\epsilon^\prime/\epsilon$ on the basis of my work with Jean-Marc Gerard within the context of the Dual QCD (DQCD) approach and why RBC-UKQCD collaboration and in particular Chiral Perturbation Theory practitioners are still unable to reach this conclusion.
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The abstract, sentence by sentence
I was supposed to review the status of $\epsilon^\prime/\epsilon$ both at the CKM Workshop in September in Heidelberg and recently at the Discrete 2018 Conference in Vienna. Unfortunately I had to cancel both talks for family reasons. My main goal in these talks was to congratulate NA48 and KTeV collaborations for the discovery of new sources of CP violation through their heroic efforts to measure the ratio $\epsilon^\prime/\epsilon$ in the 1980s and 1990s with final results presented roughly 16 years ago. As I will not attend any other conferences this year I will reach this goal in this writing. In this context I will give arguments, why I am convinced about the presence of new physics in $\epsilon^\prime/\epsilon$ on the basis of my work with Jean-Marc Gerard within the context of the Dual QCD (DQCD) approach and why RBC-UKQCD collaboration and in particular Chiral Perturbation Theory practitioners are still unable to reach this conclusion. I will demonstrate that even in the presence of pion loops, as large as advocated recently by Gilbert and Pich, the value of $\epsilon^\prime/\epsilon$ is significantly below the data, when the main non-factorizable QCD dynamics at long distance scales, represented in DQCD by {the meson evolution}, is taken into account. As appriopriate for a Christmas story, I will prophesy the final value of $\epsilon^\prime/\epsilon$ within the SM, which should include in addition to the correct matching between long and short distance contributions, isospin breaking effects, NNLO QCD corrections to both QCD penguin and electroweak penguin contributions and final state interactions. Such final SM result will probably be known from lattice QCD only in the middle of 2020s, but already in 2019 we should be able to see some signs of NP in the next result on $\epsilon^\prime/\epsilon$ from RBC-UKQCD.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | I was supposed to review the status of $\epsilon^\prime/\epsilon$ both at the CKM Workshop in September in Heidelberg and recently at the Discrete 2018 Conference in Vienna. | background 0.90 | 0.40 | 0.02 | asserted 0.91 |
| s1 | Unfortunately I had to cancel both talks for family reasons. | background 0.71 | 0.78 | 0.01 | asserted 1.00 |
| s2 | My main goal in these talks was to congratulate NA48 and KTeV collaborations for the discovery of new sources of CP violation through their heroic efforts to measure the ratio $\epsilon^\prime/\epsilon$ in the 1980s and 1990s with final results presented roughly 16 years ago. | background 0.91 | 0.04 | 0.07 | asserted 1.00 |
| s3 | As I will not attend any other conferences this year I will reach this goal in this writing. | contribution 0.47 | 0.29 | 0.04 | asserted 1.00 |
| s4 | In this context I will give arguments, why I am convinced about the presence of new physics in $\epsilon^\prime/\epsilon$ on the basis of my work with Jean-Marc Gerard within the context of the Dual QCD (DQCD) approach and why RBC-UKQCD collaboration and in particular Chiral Perturbation Theory practitioners are still unable to reach this conclusion. | contribution 0.89 | 0.72 | 0.45 | asserted 0.97 |
| s5 | I will demonstrate that even in the presence of pion loops, as large as advocated recently by Gilbert and Pich, the value of $\epsilon^\prime/\epsilon$ is significantly below the data, when the main non-factorizable QCD dynamics at long distance scales, represented in DQCD by {the meson evolution}, is taken into account. | result 0.83 | 0.73 | 0.28 | asserted 1.00 |
| s6 | As appriopriate for a Christmas story, I will prophesy the final value of $\epsilon^\prime/\epsilon$ within the SM, which should include in addition to the correct matching between long and short distance contributions, isospin breaking effects, NNLO QCD corrections to both QCD penguin and electroweak penguin contributions and final state interactions. | future work 0.59 | 0.22 | 0.14 | asserted 0.69 |
| s7 | Such final SM result will probably be known from lattice QCD only in the middle of 2020s, but already in 2019 we should be able to see some signs of NP in the next result on $\epsilon^\prime/\epsilon$ from RBC-UKQCD. | future work 0.89 | 0.09 | 0.17 | hedged possibility 0.93 |
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The paper
Original abstract
I was supposed to review the status of $\epsilon^\prime/\epsilon$ both at the CKM Workshop in September in Heidelberg and recently at the Discrete 2018 Conference in Vienna. Unfortunately I had to cancel both talks for family reasons. My main goal in these talks was to congratulate NA48 and KTeV collaborations for the discovery of new sources of CP violation through their heroic efforts to measure the ratio $\epsilon^\prime/\epsilon$ in the 1980s and 1990s with final results presented roughly 16 years ago. As I will not attend any other conferences this year I will reach this goal in this writing. In this context I will give arguments, why I am convinced about the presence of new physics in $\epsilon^\prime/\epsilon$ on the basis of my work with Jean-Marc Gerard within the context of the Dual QCD (DQCD) approach and why RBC-UKQCD collaboration and in particular Chiral Perturbation Theory practitioners are still unable to reach this conclusion. I will demonstrate that even in the presence of pion loops, as large as advocated recently by Gilbert and Pich, the value of $\epsilon^\prime/\epsilon$ is significantly below the data, when the main non-factorizable QCD dynamics at long distance scales, represented in DQCD by {the meson evolution}, is taken into account. As appriopriate for a Christmas story, I will prophesy the final value of $\epsilon^\prime/\epsilon$ within the SM, which should include in addition to the correct matching between long and short distance contributions, isospin breaking effects, NNLO QCD corrections to both QCD penguin and electroweak penguin contributions and final state interactions. Such final SM result will probably be known from lattice QCD only in the middle of 2020s, but already in 2019 we should be able to see some signs of NP in the next result on $\epsilon^\prime/\epsilon$ from RBC-UKQCD.
Human review
References
How the literature uses it
11 arXiv papers cite this in 18 sentences
Papers citing it · 13 sentences without a confident label
Contests it 1 paper
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Subsequently in a Christmas story [ref] I have illustrated possible impact of the meson evolution on the result of the authors of [ref] , finding much lower values of $$ than claimed by them.
The $\epsilon'/\epsilon$-Story: 1976-2021 · The Fourth Period: $2015-2019$ · contest 0.79
Cites it as support 1 paper
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But already in [ref] and recently in [ref] it has been pointed out that without NNLO QCD corrections to the EWP contribution the results for $$ are renormalization-scheme dependent and exhibit significant non-physical dependences on the scale $μ_t$ at which the top-quark mass $m_t(μ_t)$ is evaluated as well as on the matching scale $μ_W$.
On the Importance of NNLO QCD and Isospin-breaking Corrections in $\varepsilon'/\varepsilon$ · Introduction · 0.97
Cites it as background 3 papers
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This result revived again the old debate [ref] , bringing back the past approaches with low $ε'/ε$ predictions [ref] .
Nonleptonic $K\to 2\,\pi$ decay dynamics · Introduction · 0.90
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We find various studies on this subject [ref] .
Simultaneous explanation of $K$ and $B$ anomalies in vectorlike compositeness · Introduction · 0.99
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To conclude our analysis we investigate the robustness of our model with respect to another flavour observable that recently received increasing attention [ref] : $ϵ'/ϵ$.
Common explanation to the $R_{K^{(*)}}$, $R_{D^{(*)}}$ and $\epsilon^\prime/\epsilon$ anomalies in a 3HDM+$\nu_R$ and connections to neutrino physics · Impact of new $ϵ'/ϵ$ determinations · 0.90
What it cites · 84 sentences without a confident label
Contests 1 paper
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Unfortunately, not knowing $1/N$ corrections to $$ and $$ in 1993, both parameters have been set at $μ=m_c$ in [ref] to unity, which is clearly wrong.
The Anatomy of $\varepsilon'/\varepsilon$ Beyond Leading Logarithms with Improved Hadronic Matrix Elements · The DQCD View · contest 0.81
Uses data or values from 13 papers
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This is in fact the central value for $$ in [ref] which including various uncertainties found [equation] This result has been confirmed within the uncertainties in [ref] [equation]
Singularity-free Next-to-leading Order $\Delta S= 1$ Renormalization Group Evolution and $\epsilon_{K}^{\prime}/\epsilon_{K}$ in the Standard Model and Beyond · Introduction · 0.81
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This is in fact the central value for $$ in [ref] which including various uncertainties found [equation] This result has been confirmed within the uncertainties in [ref] [equation]
Improved anatomy of epsilon'/epsilon in the Standard Model · Introduction · 0.81
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It has been measured already 16 years ago with the experimental world average from NA48 [ref] and KTeV [ref] collaborations given by [equation]
Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System · Introduction · 0.90
Cites as support 4 papers
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Very importantly, as demonstrated in [ref] , the meson evolution to scales $(1)$ followed by the usual quark-gluon evolution, allows again to understand the pattern of lattice values in ([ref]) and ([ref]) and agrees with them within $5-20%$ depending on the considered parameter.
Dual QCD Insight into BSM Hadronic Matrix Elements for $K^0-\bar K^0$ Mixing from Lattice QCD · The DQCD View · 0.99
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Fortunately, the authors are aware of this problematic and our statements are supported by a sentence of Gisbert and Pich in [ref] which they repeated in [ref] :
Direct CP violation in $K^0\to\pi\pi$: Standard Model Status · The anatomy of the Gisbert-Pich plot · 0.97
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Fortunately, the authors are aware of this problematic and our statements are supported by a sentence of Gisbert and Pich in [ref] which they repeated in [ref] :
Updated Standard Model Prediction for $\varepsilon'/\varepsilon$ · The anatomy of the Gisbert-Pich plot · 0.97
Cites as background 10 papers
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In a detailed review [ref] and two conference proceedings [ref] Gisbert and Pich presented their view on the present status of $$ within the SM.
Updated Standard Model Prediction for $\varepsilon'/\varepsilon$ · The anatomy of the Gisbert-Pich plot · 0.93
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In a detailed review [ref] and two conference proceedings [ref] Gisbert and Pich presented their view on the present status of $$ within the SM.
Current status of $\varepsilon'/\varepsilon$ in the Standard Model · The anatomy of the Gisbert-Pich plot · 0.93
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In a detailed review [ref] and two conference proceedings [ref] Gisbert and Pich presented their view on the present status of $$ within the SM.
Direct CP violation in $K^0\to\pi\pi$: Standard Model Status · The anatomy of the Gisbert-Pich plot · 0.93
Discussion
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