Theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>-violating parameter<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">ɛ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>/</mml:mo><mml:mi mathvariant="normal">ɛ</mml:mi></mml:math>

Bertolini, Stefano; Fabbrichesi, Marco; Eeg, J. O.

doi:10.1103/revmodphys.72.65

Cited by 138 publications

(141 citation statements)

References 105 publications

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“…The hadronic matrix elements (ππ) I |Q i |K are usually parameterized in terms of the so-called bag parameters B i , which measure them in units of their vacuum insertion approximation values. In the Standard Model, P (0) and P (2) turn out to be dominated by the contributions from the QCD penguin operator Q 6 and the electroweak penguin operator Q 8 , respectively [7]. Thus, to a very good approximation, ε ′ /ε can be written (up to global factors) as [5] ε…”

Section: K → ππ Amplitudesmentioning

confidence: 99%

“…The fact that the one-loop calculation still underestimates the observed δ 0 0 phase shift indicates that a further enhancement could be expected at higher orders. 7 This number is obtained taking the experimental value for ε and Im(V * ts V td ) = 1.2·10 −4 . Using instead the theoretical prediction for ε, one would get ε ′ /ε ≈ 2.2 · 10 −3 .…”

Section: Final State Interactions At Higher Ordersmentioning

confidence: 99%

“…The theoretical status is more involved and not very satisfactory. There is no universal agreement on the ε ′ /ε value predicted by the Standard Model, since different groups, using different models or approximations, obtain different results [5][6][7][8][9][10][11][12][13][14]. Nevertheless, it has been often claimed that the Standard Model predicts a too small value of ε ′ /ε, failing to reproduce its experimental world average by at least a factor of two.…”

Section: Introductionmentioning

confidence: 99%

“…This value agrees with the result Ω IB = 0.08 ± 0.05 ± 0.01, obtained in ref. [69] by using three different models [7,48,51,53,70,71] to estimate the relevant O(p 4 ) chiral couplings. The one-loop corrections increase the large-N C estimate from ε ′ /ε ≈ 0.8 · 10 −3 to 7 ε ′ /ε ≈ 1.8 · 10 −3 .…”

Section: Chiral Loop Correctionsmentioning

confidence: 99%

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The Standard Model prediction for ε′/ε

2001

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We present a detailed analysis of ε ′ /ε within the Standard Model, taking into account the strong enhancement through final-state interactions identified in refs. [1] and [2]. The relevant hadronic matrix elements are fixed at leading order in the 1/N C expansion, through a matching procedure between the effective short-distance Lagrangian and its corresponding low-energy description in Chiral Perturbation Theory. All large logarithms are summed up, both at short and long distances. Two different numerical analyses are performed, using either the experimental or the theoretical value for ε, with compatible results. We obtain Re (ε ′ /ε) = (1.7 ± 0.9) · 10 −3 . The error is dominated by the uncertainty in the value of the strange quark mass and the estimated corrections from unknown 1/N C -suppressed local contributions. A better estimate of the strange quark mass would reduce the uncertainty to about 30%. The Standard Model prediction agrees with the present experimental world average Re (ε ′ /ε) = (1.93 ± 0.24) · 10 −3 .

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Section: K → ππ Amplitudesmentioning

confidence: 99%

Section: Final State Interactions At Higher Ordersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Chiral Loop Correctionsmentioning

confidence: 99%

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The Standard Model prediction for ε′/ε

2001

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“…The parameter Ω IB takes into account isospin breaking corrections, which get enhanced by the factor 1/ω. The value Ω IB = 0.25 [16,17] was adopted in many calculations [14,18,19]. Together with B i ∼ 1, this produces a large numerical cancellation in eq.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Chiral loop corrections and isospin violation effects in ɛ'/ɛ

Pich

2004

Nuclear Physics B - Proceedings Supplements

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CP Violation in B and K Decays: 2003

Buras

2004

Lectures on Flavor Physics

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These lectures give a brief description of CP violation in B and K meson decays with particular emphasize put on the determination of the CKM matrix. The following topics will be discussed: i) The CKM matrix, the unitarity triangle and general aspects of the theoretical framework, ii) Particle-antiparticle mixing and various types of CP violation, iii) Standard analysis of the unitarity triangle, iv) The ratio ε ′ /ε, v) The most important strategies for the determination of the angles α, β and γ from B decays, vi) Rare decays K + → π + νν and K L → π 0 νν and vii) Models with minimal flavour violation, in particular those with universal extra dimensions.

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Theory of theCP-violating parameterɛ′/ɛ

Cited by 138 publications

References 105 publications

The Standard Model prediction for ε′/ε

The Standard Model prediction for ε′/ε

Chiral loop corrections and isospin violation effects in ɛ'/ɛ

CP Violation in B and K Decays: 2003

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