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Matching the electroweak penguins q7, q8 and spectral correlators

Bijnens, Johan LU orcid ; Gámiz, Elvira and Prades, Joaquim (2001) In Journal of High Energy Physics 2001(JHEP10(2001)).
Abstract

Exact analytical expressions for the ∆S = 1 coupling Im GE in terms of observable spectral functions are given. This coupling determines the size of the ∆I = 3/2 contribution to ε′ . We show analytically how the scheme-dependence and scale dependences vanish to all orders in 1/Nc and NLO in αS explicitly both for Q7 and Q8 . Numerical results are derived for both Q7 and Q8 from the τ-data and known results on the scalar spectral functions. In particular we study the effect of all higher dimension operators. The coefficients of the leading operators in the OPE of the needed correlators are derived to NLO in αS .

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangians, CP violation, Kaon Physics, QCD
in
Journal of High Energy Physics
volume
2001
issue
JHEP10(2001)
article number
009
publisher
Springer
external identifiers
  • scopus:33744773233
ISSN
1029-8479
DOI
10.1088/1126-6708/2001/10/009
language
English
LU publication?
yes
id
7ebc4571-92fe-42ca-b1a9-69432e2eb785
date added to LUP
2019-05-03 08:55:29
date last changed
2024-04-16 03:57:19
@article{7ebc4571-92fe-42ca-b1a9-69432e2eb785,
  abstract     = {{<p>Exact analytical expressions for the ∆S = 1 coupling Im G<sub>E</sub> in terms of observable spectral functions are given. This coupling determines the size of the ∆I = 3/2 contribution to ε<sup>′</sup> . We show analytically how the scheme-dependence and scale dependences vanish to all orders in 1/N<sub>c</sub> and NLO in α<sub>S</sub> explicitly both for Q<sub>7</sub> and Q<sub>8</sub> . Numerical results are derived for both Q<sub>7</sub> and Q<sub>8</sub> from the τ-data and known results on the scalar spectral functions. In particular we study the effect of all higher dimension operators. The coefficients of the leading operators in the OPE of the needed correlators are derived to NLO in α<sub>S</sub> .</p>}},
  author       = {{Bijnens, Johan and Gámiz, Elvira and Prades, Joaquim}},
  issn         = {{1029-8479}},
  keywords     = {{Chiral Lagrangians; CP violation; Kaon Physics; QCD}},
  language     = {{eng}},
  month        = {{10}},
  number       = {{JHEP10(2001)}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Matching the electroweak penguins q<sub>7</sub>, q<sub>8</sub> and spectral correlators}},
  url          = {{http://dx.doi.org/10.1088/1126-6708/2001/10/009}},
  doi          = {{10.1088/1126-6708/2001/10/009}},
  volume       = {{2001}},
  year         = {{2001}},
}