Light-by-light scattering sum rules in light of new data

Abstract

We evaluate the light-quark meson contributions to three exact light-by-light scattering sum rules in light of new data by the Belle Collaboration, which recently has extracted the transition form factors of the tensor meson $f_2(1270)$ as well as of the scalar meson $f_0(980)$. We confirm a previous finding that the $\eta ,{\eta }^{\prime }$ and helicity-2 $f_2(1270)$ contributions saturate one of these sum rules up to photon virtualities around 1 GeV${}^2$. At larger virtualities, our sum rule analysis shows an important contribution of the $f_2(1565)$ meson and provides a first empirical extraction of its helicity-2 transition form factor. Two further sum rules allow us to predict the helicity-0 and helicity-1 transition form factors of the $f_2(1270)$ meson. Furthermore, our analysis also provides an update for the scalar and tensor meson hadronic light-by-light contributions to the muon's anomalous magnetic moment.

21 pages, 4 figures

References in corpus (5)

• Towards a data-driven analysis of hadronic light-by-light scattering
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Anomalous magnetic moment of the muon in a dispersive approach
• Two photon couplings of the lightest isoscalars from BELLE data
• Sum rules for light-by-light scattering

Cited by in corpus (19)

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• Systematically Testing Singlet Models for $(g-2{)}_{\mu }$
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• An optimized basis for hadronic light-by-light scattering
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Light-by-light scattering in ultra-peripheral heavy-ion collisions at low diphoton masses
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• The role of meson exchanges in light-by-light scattering
• GM2Calc-2 for the 2HDM