The role of meson exchanges in light-by-light scattering

Abstract

We discuss the role of meson exchange mechanisms in $\gamma \gamma \to \gamma \gamma$ scattering. Several pseudoscalar (${\pi }^0$, $\eta$, ${\eta }^{\prime }(958)$, ${\eta }_c(1S)$, ${\eta }_c(2S)$), scalar ($f_0(500)$, $f_0(980)$, $a_0(980)$, $f_0(1370)$, ${\chi }_{c0}(1P)$) and tensor ($f_2(1270)$, $a_2(1320)$, $f_2^{\prime }(1525)$, $f_2(1565)$, $a_2(1700)$) mesons are taken into account. We consider not only $s$-channel but also for the first time $t$- and $u$-channel meson exchange amplitudes corrected for off-shell effects including vertex form factors. We find that, depending on not well known vertex form factors, the meson exchange amplitudes interfere among themselves and could interfere with fermion-box amplitudes and modify the resulting cross sections. The meson contributions are shown as a function of collision energy as well as angular distributions are presented. Interesting interference effects separately for light pseudoscalar, scalar and tensor meson groups are discussed. The meson exchange contributions may be potentially important in the context of a measurement performed recently in ultraperipheral collisions of heavy ions by the ATLAS collaboration. The light-by-light interactions could be studied in future in electron-positron collisions by the Belle II at SuperKEKB accelerator.

arXiv comment11 pages, 5 figures, 1 table

References in corpus (26)

• Measurement of the gamma gamma* --> pi0 transition form factor
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Observing light-by-light scattering at the Large Hadron Collider
• Proton-Antiproton Annihilation and Meson Spectroscopy with the Crystal Barrel
• Light-by-light scattering sum rules in light of new data
• Measurement of the gamma gamma* --> eta and gamma gamma* --> eta' transition form factors
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Photon-Photon Scattering at the Photon Linear Collider
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• Light-by-light scattering in ultraperipheral PbPb collisions at the Large Hadron Collider
• High-statistics study of ${\boldmath ηπ^0}$ production in two-photon collisions
• Study of ${\pi }^0$ pair production in single-tag two-photon collisions
• A Model for Soft High-Energy Scattering: Tensor Pomeron and Vector Odderon
• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• Central exclusive diffractive production of ${\pi }^{+}{\pi }^{-}$ continuum, scalar and tensor resonances in $pp$ and $p\bar{p}$ scattering within tensor pomeron approach
• Search for the glueball candidates f0(1500) and fJ(1710) in gamma gamma collisions
• Effective Lagrangian for Two-photon and Two-gluon Decays of $P$-wave Heavy Quarkonium ${\chi }_{c0,2}$ and ${\chi }_{b0,2}$ states
• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
• Search for technipions in exclusive production of diphotons with large invariant masses at the LHC
• Nature of the a_0(980) Meson in the Light of Photon-Photon Collisions
• ${\pi }^{+}{\pi }^{-}$ and ${\pi }^0{\pi }^0$ pair production in photon-photon and in ultraperipheral ultrarelativistic heavy ion collisions
• Standard Model light-by-light scattering in SANC: analytic and numeric evaluation
• Two-gluon exchange contribution to elastic $\gamma \gamma \to \gamma \gamma$ scattering and production of two-photons in ultraperipheral ultrarelativistic heavy ion and proton-proton collisions
• Partial widths a_0(980)\toγγ, f_0(980)\toγγand q\bar q-classification of the lightest scalar mesons
• Can the diphoton enhancement at 750 GeV be due to a neutral technipion?

Cited by in corpus (3)

• Light-by-light scattering in ultra-peripheral heavy-ion collisions at low diphoton masses
• From the $\gamma \gamma \to p\bar{p}$ reaction to the production of $p\bar{p}$ pairs in ultraperipheral ultrarelativistic heavy-ion collisions at the LHC
• Importance of mesons in light-by-light scattering in ultraperipheral lead-lead collisions at the LHC