Anomalous chiral perturbation theory meson Lagrangian to order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>reexamined

Ebertshäuser, T.; Fearing, Harold W.; Scherer, Stefan

doi:10.1103/physrevd.65.054033

Cited by 89 publications

(100 citation statements)

References 11 publications

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Order By: Relevance

“…While we have shown before that χPT Lagrangian up to O(p 4 ) can be reproduced directly, no derivation for the higher order terms has been done. Phenomenologically, although the full set of independent operators have been constructed about ten years ago [14,15,13], accurate determination of the coefficients are still difficult.…”

Section: χPt Lagrangian At O(p 6 )mentioning

confidence: 99%

Holography, chiral Lagrangian and form factor relations

Colangelo

Sanz-Cillero

Zuo

2012

J. High Energ. Phys.

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We perform a detailed study of mesonic properties in a class of holographic models of QCD, which is described by the Yang-Mills plus Chern-Simons action. By decomposing the 5 dimensional gauge field into resonances and integrating out the massive ones, we reproduce the Chiral Perturbative Theory Lagrangian up to O(p 6 ) and obtain all the relevant low energy constants (LECs). The numerical predictions of the LECs show minor model dependence, and agree reasonably with the determinations from other approaches. Interestingly, various modelindependent relations appear among them. Some of these relations are found to be the largedistance limits of universal relations between form factors of the anomalous and even-parity sectors of QCD.Xth Quark Confinement and the Hadron Spectrum,

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Section: χPt Lagrangian At O(p 6 )mentioning

confidence: 99%

Holography, chiral Lagrangian and form factor relations

Colangelo

Sanz-Cillero

Zuo

2012

J. High Energ. Phys.

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“…We make use of the isospin-symmetric limit m u = m d =m. The triplet of pion fields is collected in the matrix 1 In the mesonic sector, the isoscalar coupling to the external electromagnetic field only becomes relevant at O(q 6 ) [34].…”

Section: Chiral Lagrangianmentioning

confidence: 99%

Electromagnetic form factors of the nucleon in chiral perturbation theory

Fuchs¹,

Gegelia²,

Scherer³

2004

J. Phys. G: Nucl. Part. Phys.

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The electromagnetic form factors of the nucleon are calculated at order q 4 in the relativistic formulation of baryon chiral perturbation theory. In order to obtain a consistent power counting for the renormalized diagrams we make use of the extended on-mass-shell renormalization scheme which we have discussed in a recent paper. We analyze the Dirac and Pauli form factors, F 1 and F 2 , as well as the electric and magnetic Sachs form factors, G E and G M . Our results are compared with those obtained in the heavy-baryon approach and in the (relativistic) infrared regularization. In addition, the Sachs form factors are compared with experimental data. We confirm previous findings that a one-loop calculation of the electromagnetic form factors does not generate sufficient curvature for the Sachs form factors G p E , G p M , and G n M . Moreover, the electric form factor of the neutron is very sensitive to higher-order contributions.

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“…We will present two-loop calculations on the axial-vector form factors in K + → l + ν l γ (K l2γ ) and π + → l + ν l γ (π l2γ ) by virtue of the recent progresses in the p 6 -Lagrangian [14,15,16] and the massive two-loop integrals [17,18]. Some remarks related to the form factors in K l2γ and π l2γ follow:…”

Section: Introductionmentioning

confidence: 99%

Axial-vector form factors for Kl2γ and πl2γ at O(p6) in chiral perturbation theory

Geng

2004

Nuclear Physics B

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We present two-loop calculations on the axial-vector form factors F A of semileptonic radiative kaon and pion decays in chiral perturbation theory. The relevant dimension-6 terms of the lagrangian are evaluated from the resonance contribution and the results of the irreducible two-loop graphs of the sunset topology are given in detail. We also explicitly show that the divergent parts in F A are cancelled exactly as required.

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Anomalous chiral perturbation theory meson Lagrangian to orderp6reexamined

Cited by 89 publications

References 11 publications

Holography, chiral Lagrangian and form factor relations

Holography, chiral Lagrangian and form factor relations

Electromagnetic form factors of the nucleon in chiral perturbation theory

Axial-vector form factors for Kl2γ and πl2γ at O(p6) in chiral perturbation theory

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