Scalar and pseudoscalar meson pole terms in the hadronic light-by-light contributions to aμhad

Bartoš, Erik; Dubničková, A. Z.; Dubnička, S.; Kuraev, É. A.; Zemlyanaya, E. V.

doi:10.1016/s0550-3213(02)00242-0

Cited by 41 publications

(48 citation statements)

References 17 publications

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“…Unfortunately, the region of applicability of the ENJL model is restricted to momenta much lower than 1 GeV. For example, we are not able to prove the properties of the triangle diagram (16)(17)(18) by using the V V A functions found in the ENJL model [12]. The inconsistency of the Adler function found within ENJL with the OPE was noted earlier in [24].…”

Section: Comparison To Other Approachesmentioning

confidence: 69%

“…An important next step in the investigations of the light-by-light scattering within nonlocal quark model is to perform an extension to the so-called complete calculation (see [12,13,16]), whch includes the scalar, axial-vector, and the η, η ′ meson exchanges, as well as takes into account the quark and meson box diagrams. Due to contact terms arising in the nonlocal model, such a calculation is technically rather involved and will be presented elsewhere.…”

Section: Discussionmentioning

confidence: 99%

“…It was demonstrated in [26,27] that the results (16)(17)(18) are satisfied within the non-perturbative NχQM approach.…”

Section: Light-by-light Amplitudementioning

confidence: 96%

“…The quark propagator, the vector vertex, and the nonsinglet and singlet axial-vector vertices are given in (22), (31), (33), and (40), respectively. The structure of the vector vertices guarantees that the amplitude is transverse with respect to the vector indices while the Lorentz structure of the amplitude is given by (16). It is convenient to separate the correlator into three pieces:…”

Section: The Melnikov-vainshtein Constraint In Nχqmmentioning

confidence: 99%

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Pion pole light-by-light contribution tog−2of the muon in a nonlocal chiral quark model

Dorokhov

Broniowski

2008

Phys. Rev. D

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We calculate the pion pole term of the light-by-light contribution to the g − 2 of the muon in the framework of an effective chiral quark model with instanton-like nonlocal quark-quark interaction. The full kinematic dependence of the pion-photon transition form factors is taken into account. The dependence of form factors on the pion virtuality decreases the result by about 15% in comparison to the calculation where this dependence is neglected. Further, it is demonstrated that the QCD constraints suggested by Melnikov and Vainshtein are satisfied within the model. The corresponding contributions originate from the box diagram as well from the pion-pole term. Our chiral nonlocal model result for the pion-pole light-by-light contribution to (g−2)/2 of the muon is (6.3 − 6.7)·10 −10 , which is in the ball park of other effective-model calculations.

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Section: Comparison To Other Approachesmentioning

confidence: 69%

Section: Discussionmentioning

confidence: 99%

“…It was demonstrated in [26,27] that the results (16)(17)(18) are satisfied within the non-perturbative NχQM approach.…”

Section: Light-by-light Amplitudementioning

confidence: 96%

Section: The Melnikov-vainshtein Constraint In Nχqmmentioning

confidence: 99%

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Pion pole light-by-light contribution tog−2of the muon in a nonlocal chiral quark model

Dorokhov

Broniowski

2008

Phys. Rev. D

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“…18,19 The second group is based on consideration the effective models of QCD that use the dynamical quarks as effective degrees of freedom. The latter include different versions of the (extended) Nambu-JonaLasinio model (E)NJL, 20,21 the Constituent Quark Models with local interaction (CQM), [22][23][24][25] the models based on nonperturbative quark-gluon dynamics, like the non-local chiral quark model (NχQM), 3,[26][27][28][29] the Dyson-Schwinger model 30 (DS), or the holographic models (HM). 31,32 More recently, there have been attempts to estimate a HLbL µ within the dispersive approach (DA) 33,34 and the so-called rational approximation (RA) approach.…”

Section: Hadronic Contributions To the Muon Anomalous Magnetic Momentmentioning

confidence: 99%

Past, present and future of the muon g-2

Dorokhov

Radzhabov

Zhevlakov

2015

Int. J. Mod. Phys. Conf. Ser.

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The electron and muon anomalous magnetic moments (AMM) are measured in experiments and studied in the Standard Model (SM) with the highest precision accessible in particle physics. The comparison of the measured quantity with the SM prediction for the electron AMM provides the best determination of the fine structure constant. The muon AMM is more sensitive to the appearance of New Physics effects and, at present, there appears to be a three-to four-standard deviation between the SM and experiment. The lepton AMMs are pure relativistic quantum correction effects and therefore test the foundations of relativistic quantum field theory in general, and of quantum electrodynamics (QED) and SM in particular, with highest sensitivity. Special attention is paid to the studies of the hadronic contributions to the muon AMM which constitute the main source of theoretical uncertainties of the SM.

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Hadronic Light-by-light Scattering and the Muon Magnetic Anomaly

Melnikov

Vainshtein

Springer Tracts in Modern Physics

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Scalar and pseudoscalar meson pole terms in the hadronic light-by-light contributions to aμhad

Cited by 41 publications

References 17 publications

Pion pole light-by-light contribution tog−2of the muon in a nonlocal chiral quark model

Pion pole light-by-light contribution tog−2of the muon in a nonlocal chiral quark model

Past, present and future of the muon g-2

Hadronic Light-by-light Scattering and the Muon Magnetic Anomaly

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