6533b855fe1ef96bd12b13fd
RESEARCH PRODUCT
Light-by-light forward scattering amplitudes in Lattice QCD
Hartmut WittigAntoine GérardinOleksii GryniukJeremy GreenHarvey B. MeyerVladimir PascalutsaGeorg M. Von Hippelsubject
PhysicsParticle physicsMuon010308 nuclear & particles physicsForward scatterComputer Science::Information RetrievalPhysicsQC1-999HadronHigh Energy Physics - Lattice (hep-lat)Lattice (group)FOS: Physical sciencesLattice QCD01 natural sciencesHigh Energy Physics - PhenomenologyAmplitudeHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesHigh Energy Physics::Experiment010306 general physicsPhenomenology (particle physics)description
We present our preliminary results on the calculation of hadronic light-by-light forward scattering amplitudes using vector four-point correlation functions computed on the lattice. Using a dispersive approach, forward scattering amplitudes can be described by $\gamma^* \gamma^* \to$ hadrons fusion cross sections and then compared with phenomenology. We show that only a few states are needed to reproduce our data. In particular, the sum rules considered in this study imply relations between meson$-\gamma\gamma$ couplings and provide valuable information about individual form factors which are often used to estimate the meson-pole contributions to the hadronic light-by-light contribution to the $(g-2)$ of the muon.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-10-25 |