Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon

Abstract

A key ingredient in the evaluation of hadronic light-by-light (HLbL) scattering in the anomalous magnetic moment of the muon $(g-2{)}_{\mu }$ concerns short-distance constraints (SDCs) that follow from QCD by means of the operator product expansion. Here we concentrate on the most important such constraint, in the longitudinal amplitudes, and show that it can be implemented efficiently in terms of a Regge sum over excited pseudoscalar states, constrained by phenomenological input on masses, two-photon couplings, as well as SDCs on HLbL scattering and the pseudoscalar transition form factors (TFFs). Our estimate of the effect of the longitudinal SDCs on the HLbL contribution is: $\Delta a_{\mu }^{\text{LSDC}}=13(6)\times 10^{-11}$. This is significantly smaller than previous estimates, which mostly relied on an ad-hoc modification of the pseudoscalar poles and led to up to a $40\%$ increase with respect to the nominal pseudoscalar-pole contributions, when evaluated with modern input for the relevant TFFs. We also comment on the status of the transversal SDCs and, by matching to perturbative QCD, argue that the corresponding correction will be significantly smaller than its longitudinal counterpart.

arXiv comment7 pages, 2 figures; journal version

References in corpus (72)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Mixing and Decay Constants of Pseudoscalar Mesons
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Quark structure of pseudoscalar mesons
• Precision Tau Physics
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory approach
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Towards a data-driven analysis of hadronic light-by-light scattering
• Hadronic vacuum polarization contribution to the anomalous magnetic moments of leptons from first principles
• Matching Long and Short Distances in Large-Nc QCD
• Dispersive approach to hadronic light-by-light scattering
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• The Determination of alpha_s from Tau Decays Revisited
• 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
• The leading hadronic contribution to $(g-2{)}_{\mu }$ from lattice QCD with $N_{\mathrm{f}}=2+1$ flavours of O($a$) improved Wilson quarks
• Dispersive analysis of the pion transition form factor
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• Electroweak Hadronic Contributions to the muon g-2
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• Roy-Steiner equations for gamma gamma -> pi pi
• Measurement of the gamma gamma* --> eta and gamma gamma* --> eta' transition form factors
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Hadronic Light-by-Light Contribution to Muon g-2 in Chiral Perturbation Theory
• MO analysis of the high statistics Belle results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ with chiral constraints
• Systematics of radial and angular-momentum Regge trajectories of light non-strange q\bar{q}-states
• Perturbative and nonperturbative renormalization of anomalous quark triangles
• Connected and leading disconnected hadronic light-by-light contribution to the muon anomalous magnetic moment with physical pion mass
• Anomalous magnetic moment of the muon in a dispersive approach
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Unified dispersive approach to real and virtual photon-photon scattering at low energy
• Alpha_s(M_Z) from hadronic tau decays
• QCD Short-distance Constraints and Hadronic Approximations
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• Lattice QCD calculation of hadronic light-by-light scattering
• Light-by-light scattering sum rules constraining meson transition form factors
• Dispersive analysis of the $\gamma {\gamma }^{\ast }\to \pi \pi$ process
• New nonrenormalization theorems for anomalous three point functions
• Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• 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
• Virtual photon-photon scattering
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Light resonances in Ks K pi and eta pi pi final states in gamma gamma collisions at LEP
• The Role of Mesons in Muon g-2
• Explicit Results for the Anomalous Three Point Function and Non-Renormalization Theorems
• Pion transition form factor in the Regge approach and incomplete vector-meson dominance
• Pion transition form factor and distribution amplitudes in large-Nc Regge models
• Measurement of the ${\gamma }^{\star }{\gamma }^{\star }\to {\eta }^{\prime }$ transition form factor
• Dissecting the hadronic contributions to $(g-2{)}_{\mu }$ by Schwinger's sum rule
• First study of η_c, η(1760) and X(1835) production via η'π^+π^- final states in two-photon collisions
• The Search for eta(1440) --> K^0_S K^pm π^mp in Two-Photon Fusion at CLEO
• The VVA correlator at three loops in perturbative QCD
• Study of two-photon decays of pseudoscalar mesons via $J/\psi$ radiative decays

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