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Calculation of nonleptonic kaon decay amplitudes from K→π matrix elements in quenched domain-wall QCD

https://hiroshima.repo.nii.ac.jp/records/2008371
https://hiroshima.repo.nii.ac.jp/records/2008371
ac2a67ae-d01e-4e0f-953d-16cf968660c2
名前 / ファイル ライセンス アクション
P028_e014501.pdf P028_e014501.pdf (555.5 KB)
Item type デフォルトアイテムタイプ_(フル)(1)
公開日 2023-03-18
タイトル
タイトル Calculation of nonleptonic kaon decay amplitudes from K→π matrix elements in quenched domain-wall QCD
言語 en
作成者 Noaki, J.

× Noaki, J.

en Noaki, J.

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Aoki, S.

× Aoki, S.

en Aoki, S.

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Aoki, Y.

× Aoki, Y.

en Aoki, Y.

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Burkhalter, R.

× Burkhalter, R.

en Burkhalter, R.

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Ejiri, S.

× Ejiri, S.

en Ejiri, S.

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Fukugita, M.

× Fukugita, M.

en Fukugita, M.

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Hashimoto, S.

× Hashimoto, S.

en Hashimoto, S.

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Ishizuka, N.

× Ishizuka, N.

en Ishizuka, N.

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Iwasaki, Y.

× Iwasaki, Y.

en Iwasaki, Y.

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Izubuchi, T.

× Izubuchi, T.

en Izubuchi, T.

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Kanaya, K.

× Kanaya, K.

en Kanaya, K.

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Kaneko, T.

× Kaneko, T.

en Kaneko, T.

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Kuramashi, Y.

× Kuramashi, Y.

en Kuramashi, Y.

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Lesk, V.

× Lesk, V.

en Lesk, V.

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Nagai, K.I.

× Nagai, K.I.

en Nagai, K.I.

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Okawa, Masanori

× Okawa, Masanori

en Okawa, Masanori

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Taniguchi, Y.

× Taniguchi, Y.

en Taniguchi, Y.

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Ukawa, A.

× Ukawa, A.

en Ukawa, A.

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Yoshie, T.

× Yoshie, T.

en Yoshie, T.

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CP-PACS, Collaboration

× CP-PACS, Collaboration

en CP-PACS, Collaboration

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アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利情報
権利情報 Copyright (c) 2003 American Physical Soceity
主題
主題Scheme Other
主題 lattice QCD
主題
主題Scheme Other
主題 domain-wall fermion action
主題
主題Scheme NDC
主題 420
内容記述
内容記述 We explore the application of the domain wall fermion formalism of lattice QCD to calculate the K→ππ decay amplitudes in terms of the K +→π+ and K0→0 hadronic matrix elements through relations derived in chiral perturbation theory. Numerical simulations are carried out in quenched QCD using the domain-wall fermion action for quarks and a renormalization group-improved gauge action for gluons on a 163×32×16 and 243×32×16 lattice at β=2.6 corresponding to the lattice spacing 1/a≈2 GeV. Quark loop contractions which appear in Penguin diagrams are calculated by the random noise method, and the ΔI=1/2 matrix elements which require subtractions with the quark loop contractions are obtained with a statistical accuracy of about 10%.0 We investigate the chiral properties required of the K +→π+ matrix elements. Matching the lattice matrix elements to those in the continuum at μ=1/a using the perturbative renormalization factor to one loop order, and running to the scale μ=m c=1.3 GeV with the renormalization group for Nf=3 flavors, we calculate all the matrix elements needed for the decay amplitudes. With these matrix elements, the ΔI=3/2 decay amplitude ReA2 shows a good agreement with experiment after an extrapolation to the chiral limit. The ΔI =1/2 amplitude ReA0, on the other hand, is about 50-600f the experimental one even after chiral extrapolation. In view of the insufficient enhancement of the ΔI=1/2 contribution, we employ the experimental values for the real parts of the decay amplitudes in our calculation of ε′/ε. The central values of our result indicate that the ΔI=3/2 contribution is larger than the ΔI=1/2 contribution so that ε′/ε is negative and has a magnitude of order 10 -4. We discuss in detail possible systematic uncertainties, which seem too large for a definite conclusion on the value of ε′/ε.
言語 en
出版者
出版者 American Physical Soceity
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
関連情報
識別子タイプ DOI
関連識別子 10.1103/PhysRevD.68.014501
関連情報
識別子タイプ DOI
関連識別子 http://dx.doi.org/10.1103/PhysRevD.68.014501
収録物識別子
収録物識別子タイプ ISSN
収録物識別子 1550-7998
開始ページ
開始ページ 014501
書誌情報 Physical Review D
Physical Review D

巻 68, 号 1, p. 014501, 発行日 2003-07
旧ID 14478
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