Matching the electroweak penguins q7, q8 and spectral correlators
(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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https://lup.lub.lu.se/record/7ebc4571-92fe-42ca-b1a9-69432e2eb785
- author
- Bijnens, Johan LU ; Gámiz, Elvira and Prades, Joaquim
- organization
- publishing date
- 2001-10-16
- 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}}, }