Lattice QCD calculation of hadronic light-by-light scattering

Abstract

We perform a lattice QCD calculation of the hadronic light-by-light scattering amplitude in a broad kinematical range. At forward kinematics, the results are compared to a phenomenological analysis based on dispersive sum rules for light-by-light scattering. The size of the pion pole contribution is investigated for momenta of typical hadronic size. The presented numerical methods can be used to compute the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. Our calculations are carried out in two-flavor QCD with the pion mass in the range of 270 to 450MeV, and contain so far only the diagrams with fully connected quark lines.

5 pages, 5 figures

References in corpus (7)

• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• 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
• Four-point functions and the permutation group S4
• Sum rules for light-by-light scattering
• Chiral symmetry breaking in QCD Lite

Cited by in corpus (56)

• The anomalous magnetic moment of the muon in the Standard Model
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• A perturbed lepton-specific two-Higgs-doublet model facing experimental hints for physics beyond the Standard Model
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Light-by-light scattering sum rules in light of new data
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Consistency of hadronic vacuum polarization between lattice QCD and the R-ratio
• Kaon-box contribution to the anomalous magnetic moment of the muon
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Generic Loop Effects of New Scalars and Fermions in $b\to s{\ell }^{+}{\ell }^{-}$, $(g-2{)}_{\mu }$ and a Vector-like $4^{\mathrm{th}}$ Generation
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Calculation of the hadronic vacuum polarization disconnected contribution to the muon anomalous magnetic moment
• Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
• Lattice QCD and the anomalous magnetic moment of the muon
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Strange and charm HVP contributions to the muon ($g-2)$ including QED corrections with twisted-mass fermions
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Current status and muon $g-2$ explanation of lepton portal dark matter
• Anomalies in ${}^8$Be nuclear transitions and $(g-2{)}_{e,\mu }$: towards a minimal combined explanation
• Pion light-by-light contributions to the muon $g-2$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Non-Perturbative Effects in $\mu \to e\gamma$
• Lattice calculation of the leading strange quark-connected contribution to the muon $g-2$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Opportunities for lattice QCD in quark and lepton flavor physics
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• Exploratory studies for the position-space approach to hadronic light-by-light scattering in the muon $g-2$
• Hadronic light-by-light scattering contribution to the muon g-2 on the lattice
• Nucleon in a periodic magnetic field
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• The interplay between SM precision, BSM physics and measurements of ${\alpha }_{\mathrm{had}}$ in $\mu$-$e$ scattering
• Two-current transition amplitudes with two-body final states
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• On calculating disconnected-type hadronic light-by-light scattering diagrams from lattice QCD
• Hadronic light-by-light contribution to the muon anomalous magnetic moment from lattice QCD
• Light-by-light forward scattering amplitudes in Lattice QCD
• Lattice calculation of the hadronic leading order contribution to the muon $g-2$