The Effective Chiral Lagrangian From the Theta Term

Mereghetti, E.; Hockings, W. H.; van Kolck, U.

doi:10.48550/arxiv.1002.2391

Cited by 9 publications

(27 citation statements)

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“…The QCD θ-term can be removed by an axial U (1) transformation at the price of picking up a complex phase of the quark-mass matrix [43]:…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

“…Since the leading low-energy constants (LECs) of chiral perturbation theory and its heavybaryon extensions induced by the quark-mass matrix are quantitatively known, the coefficients ∆, g 0 , and g 1 in Eq. (1.1) can be related to quantitatively known matrix elements in the θ-term case [16,18,43]. In particular, the three-pion ∆ vertex can be related to the strong part of the pion-mass splitting [18,43],…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

“…(1.1) can be related to quantitatively known matrix elements in the θ-term case [16,18,43]. In particular, the three-pion ∆ vertex can be related to the strong part of the pion-mass splitting [18,43],…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

“…For details we refer to Refs. [16,43]. The second contribution, labelled gθ 1 , is currently not quantitatively assessable.…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

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Nuclear electric dipole moments in chiral effective field theory

Bsaisou

Vries

Hanhart

et al. 2015

J. High Energ. Phys.

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We provide a consistent and complete calculation of the electric dipole moments of the deuteron, helion, and triton in the framework of chiral effective field theory. The CP-conserving and CP-violating interactions are treated on equal footing and we consider CP-violating one-, two-, and three-nucleon operators up to next-to-leading-order in the chiral power counting. In particular, we calculate for the first time EDM contributions induced by the CP-violating three-pion operator. We find that effects of CP-violating nucleon-nucleon contact interactions are larger than those found in previous studies based on phenomenological models for the CP-conserving nucleon-nucleon interactions. Our results which apply to any model of CP violation in the hadronic sector can be used to test various scenarios of CP violation. As examples, we study the implications of our results on the QCD θ-term and the minimal left-right symmetric model.

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“…The QCD θ-term can be removed by an axial U (1) transformation at the price of picking up a complex phase of the quark-mass matrix [43]:…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

“…For details we refer to Refs. [16,43]. The second contribution, labelled gθ 1 , is currently not quantitatively assessable.…”

Section: Estimates Of the Coupling Constants In The θ-Term Scenariomentioning

confidence: 99%

See 2 more Smart Citations

Nuclear electric dipole moments in chiral effective field theory

Bsaisou

Vries

Hanhart

et al. 2015

J. High Energ. Phys.

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“…The most well-known one is the quark EDM, for which the systematics is now quite well controlled thanks to extensive lattice analyses [26][27][28][29][30], although there are still discussion regarding the disagreement with perturbative QCD extractions [31][32][33][34][35]. Contributions from purely QCD operators such as the chromo-EDM or the θ-term are also well studied in chiral effective field theory [36][37][38][39][40][41][42][43][44][45], and there are also available lattice QCD results for the latter one [46,47], while the ab initio calculation of the former one is more challenging [48].…”

Section: Introductionmentioning

confidence: 99%

Weinberg operator contribution to the nucleon electric dipole moment in the quark model

Yamanaka,

Hiyama

2020

Preprint

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We evaluate the contribution of the CP violating gluon chromo-electric dipole moment (the so-called Weinberg operator, denoted as w) to the electric dipole moment (EDM) of nucleons in the nonrelativistic quark model. The CP-odd interquark potential is modeled by the perturbative one-loop level gluon exchange generated by the Weinberg operator with massive quarks and gluons. The nucleon EDM is obtained by solving the nonrelativistic Schroedinger equation of the three-quark system using the Gaussian expansion method. It is found that the resulting nucleon EDM, which may reasonably be considered as the short-distance effect, is smaller than the long distance one obtained after "γ 5 -rotating" the anomalous magnetic moment using the CP-odd mass calculated with QCD sum rules. We estimate the total contribution to be d n = w × 20 e MeV and d p = −w × 18 e MeV with 60% of theoretical uncertainty.

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Baryon electric dipole moments from strong CP violation

Guo

Meißner

2012

J. High Energ. Phys.

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The electric dipole form factors and moments of the ground state baryons are calculated in chiral perturbation theory at next-to-leading order. We show that the baryon electric dipole form factors at this order depend only on two combinations of low-energy constants. We also derive various relations that are free of unknown low-energy constants. We use recent lattice QCD data to calculate all baryon EDMs. In particular, we find d_n = -2.9\pm 0.9 and d_p = 1.1\pm 1.1 in units of 10^{-16} e \theta_0 cm. Finite volume corrections to the moments are also worked out. We show that for a precision extraction from lattice QCD data, the next-to-leading order terms have to be accounted for.Comment: 30 pages, 8 figures, to appear in JHE

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The Effective Chiral Lagrangian From the Theta Term

Cited by 9 publications

References 0 publications

Nuclear electric dipole moments in chiral effective field theory

Nuclear electric dipole moments in chiral effective field theory

Weinberg operator contribution to the nucleon electric dipole moment in the quark model

Baryon electric dipole moments from strong CP violation

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