Determination of ϵK using lattice QCD inputs

Jon A. Bailey; Yong Chull Jang; Weonjong Lee; Sungwoo Park

Determination of ϵK using lattice QCD inputs

Jon A. Bailey, Yong Chull Jang, Weonjong Lee, Sungwoo Park

Integrated Sciences and Engineering Division

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

We present results for the indirect CP violation parameter ϵK determined directly from the standard model using lattice QCD to fix the inputs B_K, ξ₀, V_us, and jV_cbj. We use the FLAG and SWME results for BK. We use the RBC-UKQCD result for ξ₀ determined using the experimental value of ϵ¹/ϵ and the lattice result of ImA₂. To set the Wolfenstein parameter λ, we use /V_us, which is determined from K_ℓ3 and Km_μ2 decays combined with lattice evaluations of the K →πℓν vector form factor and f_K. To set the Wolfenstein parameter A, we use the FNAL/MILC results for /V_cb, which are determined from the exclusive decay B→D^∗ℓν and the axial form factor at zero recoil. We also use the inclusive /V_cb obtained using the heavy quark expansion based on QCD sum rules and the OPE. We compare the results with those for exclusive /V_cb. We find that the standard model prediction of ϵK with exclusive /V_cb (lattice QCD results) is lower than the experimental value by 3.4σ. However, we observe no tension in ϵK determined from inclusive /V_cb.

Original language	English
Article number	348
Journal	Proceedings of Science
Volume	14-18-July-2015
Publication status	Published - 2015
Event	33rd International Symposium on Lattice Field Theory, LATTICE 2015 - Kobe, Japan Duration: 2015 Jul 14 → 2015 Jul 18

Bibliographical note

Funding Information:
The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University.

Funding Information:
Y.C.J. thanks A. Soni for helpful discussion on the unitarity triangle analysis. We thank J. Brod and A. J. Buras for a helpful discussion on ηcc. The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University.

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title = "Determination of ϵK using lattice QCD inputs",

abstract = "We present results for the indirect CP violation parameter ϵK determined directly from the standard model using lattice QCD to fix the inputs BK, ξ0, Vus, and jVcbj. We use the FLAG and SWME results for BK. We use the RBC-UKQCD result for ξ0 determined using the experimental value of ϵ1/ϵ and the lattice result of ImA2. To set the Wolfenstein parameter λ, we use /Vus, which is determined from Kℓ3 and Kmμ2 decays combined with lattice evaluations of the K →πℓν vector form factor and fK. To set the Wolfenstein parameter A, we use the FNAL/MILC results for /Vcb, which are determined from the exclusive decay B→D∗ℓν and the axial form factor at zero recoil. We also use the inclusive /Vcb obtained using the heavy quark expansion based on QCD sum rules and the OPE. We compare the results with those for exclusive /Vcb. We find that the standard model prediction of ϵK with exclusive /Vcb (lattice QCD results) is lower than the experimental value by 3.4σ. However, we observe no tension in ϵK determined from inclusive /Vcb.",

author = "Bailey, {Jon A.} and Jang, {Yong Chull} and Weonjong Lee and Sungwoo Park",

note = "Funding Information: The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University. Funding Information: Y.C.J. thanks A. Soni for helpful discussion on the unitarity triangle analysis. We thank J. Brod and A. J. Buras for a helpful discussion on ηcc. The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University.; 33rd International Symposium on Lattice Field Theory, LATTICE 2015 ; Conference date: 14-07-2015 Through 18-07-2015",

year = "2015",

language = "English",

volume = "14-18-July-2015",

journal = "Proceedings of Science",

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TY - JOUR

T1 - Determination of ϵK using lattice QCD inputs

AU - Bailey, Jon A.

AU - Jang, Yong Chull

AU - Lee, Weonjong

AU - Park, Sungwoo

N1 - Funding Information: The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University. Funding Information: Y.C.J. thanks A. Soni for helpful discussion on the unitarity triangle analysis. We thank J. Brod and A. J. Buras for a helpful discussion on ηcc. The research of W. Lee is supported by the Creative Research Initiatives Program (No. 2015001776) of the NRF grant funded by the Korean government (MEST). J.A.B. is supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2015024974). W. Lee would like to acknowledge the support from the KISTI supercomputing center through the strategic support program for the supercomputing application research (No. KSC-2014-G3-002). Computations were carried out on the DAVID GPU clusters at Seoul National University.

PY - 2015

Y1 - 2015

N2 - We present results for the indirect CP violation parameter ϵK determined directly from the standard model using lattice QCD to fix the inputs BK, ξ0, Vus, and jVcbj. We use the FLAG and SWME results for BK. We use the RBC-UKQCD result for ξ0 determined using the experimental value of ϵ1/ϵ and the lattice result of ImA2. To set the Wolfenstein parameter λ, we use /Vus, which is determined from Kℓ3 and Kmμ2 decays combined with lattice evaluations of the K →πℓν vector form factor and fK. To set the Wolfenstein parameter A, we use the FNAL/MILC results for /Vcb, which are determined from the exclusive decay B→D∗ℓν and the axial form factor at zero recoil. We also use the inclusive /Vcb obtained using the heavy quark expansion based on QCD sum rules and the OPE. We compare the results with those for exclusive /Vcb. We find that the standard model prediction of ϵK with exclusive /Vcb (lattice QCD results) is lower than the experimental value by 3.4σ. However, we observe no tension in ϵK determined from inclusive /Vcb.

AB - We present results for the indirect CP violation parameter ϵK determined directly from the standard model using lattice QCD to fix the inputs BK, ξ0, Vus, and jVcbj. We use the FLAG and SWME results for BK. We use the RBC-UKQCD result for ξ0 determined using the experimental value of ϵ1/ϵ and the lattice result of ImA2. To set the Wolfenstein parameter λ, we use /Vus, which is determined from Kℓ3 and Kmμ2 decays combined with lattice evaluations of the K →πℓν vector form factor and fK. To set the Wolfenstein parameter A, we use the FNAL/MILC results for /Vcb, which are determined from the exclusive decay B→D∗ℓν and the axial form factor at zero recoil. We also use the inclusive /Vcb obtained using the heavy quark expansion based on QCD sum rules and the OPE. We compare the results with those for exclusive /Vcb. We find that the standard model prediction of ϵK with exclusive /Vcb (lattice QCD results) is lower than the experimental value by 3.4σ. However, we observe no tension in ϵK determined from inclusive /Vcb.

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M3 - Conference article

AN - SCOPUS:84988615367

VL - 14-18-July-2015

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 348

T2 - 33rd International Symposium on Lattice Field Theory, LATTICE 2015

Y2 - 14 July 2015 through 18 July 2015

ER -

Determination of ϵK using lattice QCD inputs

Abstract

Bibliographical note

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