Strong isospin-breaking effects in K→2π at next-to-leading order in the chiral expansion

Wolfe, C.; Maltman, Kim

doi:10.1016/s0370-2693(00)00461-5

Cited by 22 publications

(21 citation statements)

References 30 publications

(85 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At present these counterterms can only be estimated by making some specific dynamical assumptions. As demonstrated in [212,213] these additional contributions can compete with the ones included sofar. Interestingly, they have the tendency of decreasing Ω IB and even to reverse its sign making ε ′ /ε larger.…”

Section: Isospin Breaking Effectsmentioning

confidence: 95%

See 1 more Smart Citation

Flavour Dynamics: CP Violation and Rare Decays

Buras

2002

Theory and Experiment Heading for New Physics

View full text Add to dashboard Cite

These lectures give an up to date description of CP violation and rare decays of K and B mesons and consist of ten chapters: i) Grand view of the field including CKM matrix and the unitarity triangle, ii) General aspects of the theoretical framework based on effective weak Hamiltonians, the operator product expansion and the renormalization group, iii) Particle-antiparticle mixing and various types of CP violation, iv) Standard analysis of the unitarity triangle, v) The ratio ε ′ /ε, vi) Rare decays K + → π + νν and K L → π 0 νν, vii) Express review of other rare decays, viii) CP violation in B decays, ix) A brief look beyond the Standard Model discussing in particular the models with minimal flavour violation, x) Perspectives for the coming years.Lectures given at the 38th Course of the Erice International School of Subnuclear Physics:

show abstract

Section: Isospin Breaking Effectsmentioning

confidence: 95%

“…However, as stressed in [212,213], at this level also O(p 4 ) weak counterterms have to be taken into account. At present these counterterms can only be estimated by making some specific dynamical assumptions.…”

Section: Isospin Breaking Effectsmentioning

confidence: 99%

Flavour Dynamics: CP Violation and Rare Decays

Buras

2002

Theory and Experiment Heading for New Physics

View full text Add to dashboard Cite

show abstract

“…The (scale-dependent) ratio of the sum of the loop contributions to the LO octet contribution for a given amplitude is thus completely fixed; the main uncertainty lies in a lack of knowledge of the NLO weak LEC's, for which we are forced to use models (see Refs. [4,5] for further discussion).…”

mentioning

confidence: 99%

O(md−mu) effects in CP-even and CP-odd K→ππ decays

Maltman¹,

Wolfe²

2001

Nuclear Physics A

View full text Add to dashboard Cite

Strong isospin-breaking (IB) effects in CP-even and CP-odd K → ππ decays are computed to next-to-leading order (NLO) in the chiral expansion. The impact of these corrections on the magnitude of the ∆I = 1/2 Rule and on the size of the IB correction, Ω IB , to the gluonic penguin contribution to ǫ ′ /ǫ are discussed.In the presence of IB, the standard isospin decomposition of theIn the absence of the I = 2 component of electromagnetism (EM), the Φ I are the ππ phases. In general, |A ′ 2 | = |A 2 | due to EM-and strong-IB-induced ∆I = 5/2 contributions. A 0 , A 2 can be chosen real in the absence of CP violation.Since |A 0 | ∼ 20|A 2 |, IB "leakage" of the large octet amplitude into the ∆I = 3/2 amplitude can be numerically significant. EM leakage contributions have been computed to NLO in Ref.[1]; we compute the NLO strong octet IB contributions. These enter Standard Model predictions of ǫ ′ /ǫ where the strong

show abstract

“…At the moment these can only be estimated by means of model-dependent assumptions, and some recent analyses 19,20 indicate sizeable effects, comparable in size to the one of the leading-order term. It should also be noted that a positive Ω IB worsens the problem of the ∆I = 1/2 rule, indicating that in the isospin limit the ratio |A 2 /A 0 | should be smaller than ω.…”

Section: Isospin-breaking Effectsmentioning

confidence: 99%