The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model

The light-by-light contribution from the axial-vector (AV) mesons exchanges to the muon anomalous magnetic moment is estimated in the framework of the nonlocal chiral quark model. The preliminary answer for contributions from a1 and f1 mesons to (g − 2)µ is 0.34 · 10−11 and does not support the Melnikov-Vainshtein estimate 2.2 · 10−11.

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Hadronic contribution to the muon anomalous magnetic moment g-2 in a nonlocal chiral quark model

Czechoslovak Journal of Physics ◽

10.1007/bf03032007 ◽

2005 ◽

Vol 55 (S1) ◽

pp. A225-A228

Author(s):

A. E. Dorokhov

Keyword(s):

Quark Model ◽

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Chiral Quark Model ◽

Muon Anomalous Magnetic Moment ◽

Hadronic Contribution

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Electroweak fermion triangle loop contributions to the muon anomalous magnetic moment revisited

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptaa099 ◽

2020 ◽

Vol 2020 (9) ◽

Author(s):

Ken Sasaki

Keyword(s):

Magnetic Moment ◽

Top Quark ◽

Anomalous Magnetic Moment ◽

Ward Identity ◽

Axial Vector ◽

Goldstone Boson ◽

Muon Anomalous Magnetic Moment ◽

Feynman Gauge ◽

Unitary Gauge ◽

The One

Abstract The contribution to the muon anomalous magnetic moment from the fermion triangle loop diagrams connected to the muon line by a photon and a $Z$ boson is re-analyzed in both the unitary gauge and the ’t Hooft–Feynman gauge. With use of the anomalous axial-vector Ward identity, it is shown that the calculation in the unitary gauge exactly coincides with the one in the ’t Hooft–Feynman gauge. The part which arises from the ordinary axial-vector Ward identity corresponds to the contribution of the neutral Goldstone boson. For the top-quark contribution, the one-parameter integral form is obtained up to the order of $m_\mu^2/m_Z^2$. The results are compared with those obtained by the asymptotic expansion method.

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Holographic QCD and the muon anomalous magnetic moment

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09780-8 ◽

2021 ◽

Vol 81 (11) ◽

Author(s):

Josef Leutgeb ◽

Jonas Mager ◽

Anton Rebhan

Keyword(s):

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Short Distance ◽

Axial Vector ◽

Distance Constraint ◽

Vector Mesons ◽

Goldstone Bosons ◽

Holographic Qcd ◽

Scattering Contribution ◽

Made In

AbstractWe review the recent progress made in using holographic QCD to study hadronic contributions to the anomalous magnetic moment of the muon, in particular the hadronic light-by-light scattering contribution, where the short-distance constraints associated with the axial anomaly are notoriously difficult to satisfy in hadronic models. This requires the summation of an infinite tower of axial vector mesons, which is naturally present in holographic QCD models, and indeed takes care of the longitudinal short-distance constraint due to Melnikov and Vainshtein. Numerically the results of simple hard-wall holographic QCD models point to larger contributions from axial vector mesons than assumed previously, while the predicted contributions from pseudo-Goldstone bosons agree nicely with data-driven approaches.

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THE LIGHT-BY-LIGHT CONTRIBUTION TO THE MUON (g - 2) WITHIN NONLOCAL CHIRAL QUARK MODEL

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194514604013 ◽

2014 ◽

Vol 35 ◽

pp. 1460401 ◽

Cited By ~ 2

Author(s):

A. E. DOROKHOV ◽

A. E. RADZHABOV ◽

A. S. ZHEVLAKOV

Keyword(s):

Quark Model ◽

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Chiral Quark Model ◽

Partial Contribution

The light-by-light contribution to the anomalous magnetic moment of muon is estimated in the framework of nonlocal quark model. The partial contribution from contact diagrams and mesonic exchanges is discussed.

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