Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions

Hyung Joo Kim; Su Houng Lee

doi:10.1016/j.nuclphysa.2017.08.002

Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions

Hyung Joo Kim, Su Houng Lee

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson coefficients of gluon operators up to dimension 6 for the correlation functions between heavy quark currents without derivatives. We then use the result to investigate the stability of the QCD sum rule results for the η_c, J/Ψ χ_c0, and χ_c1 mesons near T_c. While the inclusion of the dimension 6 operators increases the stability of the sum rules for all currents, all of them break down slightly above T_c with that for the J/ψ persisting to relatively highest temperature.

Original language	English
Pages (from-to)	254-274
Number of pages	21
Journal	Nuclear Physics A
Volume	968
DOIs	https://doi.org/10.1016/j.nuclphysa.2017.08.002
Publication status	Published - 2017 Dec

Bibliographical note

Funding Information:
This work was supported by the Korea National Research Foundation under the grant number 2016R1D1A1B03930089 . Appendix A

Publisher Copyright:
© 2017 Elsevier B.V.

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2017.08.002

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title = "Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions",

abstract = "We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson coefficients of gluon operators up to dimension 6 for the correlation functions between heavy quark currents without derivatives. We then use the result to investigate the stability of the QCD sum rule results for the ηc, J/Ψ χc0, and χc1 mesons near Tc. While the inclusion of the dimension 6 operators increases the stability of the sum rules for all currents, all of them break down slightly above Tc with that for the J/ψ persisting to relatively highest temperature.",

author = "Kim, {Hyung Joo} and Lee, {Su Houng}",

note = "Funding Information: This work was supported by the Korea National Research Foundation under the grant number 2016R1D1A1B03930089 . Appendix A Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.nuclphysa.2017.08.002",

language = "English",

volume = "968",

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journal = "Nuclear Physics A",

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T1 - Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions

AU - Kim, Hyung Joo

AU - Lee, Su Houng

PY - 2017/12

Y1 - 2017/12

N2 - We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson coefficients of gluon operators up to dimension 6 for the correlation functions between heavy quark currents without derivatives. We then use the result to investigate the stability of the QCD sum rule results for the ηc, J/Ψ χc0, and χc1 mesons near Tc. While the inclusion of the dimension 6 operators increases the stability of the sum rules for all currents, all of them break down slightly above Tc with that for the J/ψ persisting to relatively highest temperature.

AB - We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson coefficients of gluon operators up to dimension 6 for the correlation functions between heavy quark currents without derivatives. We then use the result to investigate the stability of the QCD sum rule results for the ηc, J/Ψ χc0, and χc1 mesons near Tc. While the inclusion of the dimension 6 operators increases the stability of the sum rules for all currents, all of them break down slightly above Tc with that for the J/ψ persisting to relatively highest temperature.

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U2 - 10.1016/j.nuclphysa.2017.08.002

DO - 10.1016/j.nuclphysa.2017.08.002

M3 - Article

AN - SCOPUS:85033670980

SN - 0375-9474

VL - 968

SP - 254

EP - 274

JO - Nuclear Physics A

JF - Nuclear Physics A

ER -

Wilson coefficients of dimension 6 gluon operators with spin indices in the heavy quark current correlation functions

Abstract

Bibliographical note

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