${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$

Abstract

We compute the two-photon transition form factors of the light pseudoscalar ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons in a soft-wall holographic model of QCD with a solution of the $U(1{)}_A$ problem. We compare the results with the experimental data in different ranges of photon virtualities. The obtained transition form factors are used to determine the ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ pole terms in the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon.

arXiv comment17 pages, 7 figures, published version

References in corpus (38)

• Gauge Theory Correlators from Non-Critical String Theory
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Measurement of the gamma gamma* --> pi0 transition form factor
• Chiral symmetry breaking as open string tachyon condensation
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light scalar mesons in the soft-wall model of AdS/QCD
• On the light glueball spectrum in a holographic description of QCD
• Meson Transition Form Factors in Light-Front Holographic QCD
• Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• Anomalous Form Factor of the Neutral Pion in Extended AdS/QCD Model with Chern-Simons Term
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• The CP-odd sector and $\theta$ dynamics in holographic QCD
• Topology and axions in QCD
• Strange mesons and kaon-to-pion transition form factors from holography
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Anomalous $A{V}^{\ast }V$ vertex function in the soft-wall holographic model of QCD
• An Eta Primer: Solving the U(1) Problem with AdS/QCD
• Measurement of the ${\gamma }^{\star }{\gamma }^{\star }\to {\eta }^{\prime }$ transition form factor
• Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• Photon-to-pion transition form factor and pion distribution amplitude from holographic QCD
• $U(1{)}_A$ axial anomaly, ${\eta }^{\prime }$, and topological susceptibility in the holographic soft-wall model

Cited by in corpus (5)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model