Theta vacua, QCD sum rules, and the neutron electric dipole moment

Maxim Pospelov; Adam Ritz

doi:10.1016/S0550-3213(99)00817-2

Theta vacua, QCD sum rules, and the neutron electric dipole moment

Maxim Pospelov, Adam Ritz

Physics and Astronomy (Twin Cities)

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

100 Scopus citations

Abstract

We present a detailed study of the electric dipole moment of the neutron induced by a vacuum theta angle within the framework of QCD sum rules. At next-to-next-to-leading order in the operator product expansion, we find the result dn(θ)= 1.2 × 10-16θ̄e · cm, to approximately 40% precision. With the current experimental bound this translates into a limit on the theta parameter of θ̄ < 6 × 10^-10. We compare this result with the long-standing estimates obtained within chiral perturbation theory, and observe a numerical similarity, but also significant differences in the source of the dominant contribution.

Original language	English (US)
Pages (from-to)	177-200
Number of pages	24
Journal	Nuclear Physics B
Volume	573
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(99)00817-2
State	Published - May 1 2000

Bibliographical note

Funding Information:
We would like to thank I. Khriplovich, W. Marciano, M. Shifman, N. Uraltsev, and especially A. Vainshtein for many valuable discussions and comments. This work was supported in part by the Department of Energy under Grant No. DE-FG02-94ER40823.

Keywords

Electric dipole moments of nucleons
QCD sum rules
Theta-vacua

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10.1016/S0550-3213(99)00817-2

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title = "Theta vacua, QCD sum rules, and the neutron electric dipole moment",

abstract = "We present a detailed study of the electric dipole moment of the neutron induced by a vacuum theta angle within the framework of QCD sum rules. At next-to-next-to-leading order in the operator product expansion, we find the result dn(θ)= 1.2 × 10-16{\=θ}e · cm, to approximately 40% precision. With the current experimental bound this translates into a limit on the theta parameter of {\=θ} < 6 × 10-10. We compare this result with the long-standing estimates obtained within chiral perturbation theory, and observe a numerical similarity, but also significant differences in the source of the dominant contribution.",

keywords = "Electric dipole moments of nucleons, QCD sum rules, Theta-vacua",

author = "Maxim Pospelov and Adam Ritz",

note = "Funding Information: We would like to thank I. Khriplovich, W. Marciano, M. Shifman, N. Uraltsev, and especially A. Vainshtein for many valuable discussions and comments. This work was supported in part by the Department of Energy under Grant No. DE-FG02-94ER40823.",

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AU - Pospelov, Maxim

AU - Ritz, Adam

N1 - Funding Information: We would like to thank I. Khriplovich, W. Marciano, M. Shifman, N. Uraltsev, and especially A. Vainshtein for many valuable discussions and comments. This work was supported in part by the Department of Energy under Grant No. DE-FG02-94ER40823.

PY - 2000/5/1

Y1 - 2000/5/1

N2 - We present a detailed study of the electric dipole moment of the neutron induced by a vacuum theta angle within the framework of QCD sum rules. At next-to-next-to-leading order in the operator product expansion, we find the result dn(θ)= 1.2 × 10-16θ̄e · cm, to approximately 40% precision. With the current experimental bound this translates into a limit on the theta parameter of θ̄ < 6 × 10-10. We compare this result with the long-standing estimates obtained within chiral perturbation theory, and observe a numerical similarity, but also significant differences in the source of the dominant contribution.

AB - We present a detailed study of the electric dipole moment of the neutron induced by a vacuum theta angle within the framework of QCD sum rules. At next-to-next-to-leading order in the operator product expansion, we find the result dn(θ)= 1.2 × 10-16θ̄e · cm, to approximately 40% precision. With the current experimental bound this translates into a limit on the theta parameter of θ̄ < 6 × 10-10. We compare this result with the long-standing estimates obtained within chiral perturbation theory, and observe a numerical similarity, but also significant differences in the source of the dominant contribution.

KW - Electric dipole moments of nucleons

KW - QCD sum rules

KW - Theta-vacua

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DO - 10.1016/S0550-3213(99)00817-2

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SN - 0550-3213

VL - 573

SP - 177

EP - 200

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Theta vacua, QCD sum rules, and the neutron electric dipole moment

Abstract

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