Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution

Abstract

The correction to the muon anomalous magnetic moment from the pion-pole contribution to the hadronic light-by-light scattering is considered using a description of the pi0 - gamma* - gamma* transition form factor based on the large-Nc and short-distance properties of QCD. The resulting two-loop integrals are treated by first performing the angular integration analytically, using the method of Gegenbauer polynomials, followed by a numerical evaluation of the remaining two-dimensional integration over the moduli of the Euclidean loop momenta. The value obtained, a_{mu}(LbyL;pi0) = +5.8 (1.0) x 10^{-10}, disagrees with other recent calculations. In the case of the vector meson dominance form factor, the result obtained by following the same procedure reads a_{mu}(LbyL;pi0)_{VMD} = +5.6 x 10^{-10}, and differs only by its overall sign from the value obtained by previous authors. Inclusion of the eta and eta-prime poles gives a total value a_{mu}(LbyL;PS) = +8.3 (1.2) x 10^{-10} for the three pseudoscalar states. This result substantially reduces the difference between the experimental value of a_{mu} and its theoretical counterpart in the standard model.

27 pages, Latex, 3 figures. v2: version to be published in Phys. Rev. D, Note added and references updated (don't worry, sign has not changed)

References in corpus (8)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory approach
• Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
• Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
• Isospin Violation and the Magnetic Moment of the Muon
• Muon and tau anomalies updated
• On the theoretical uncertainties in the muon anomalous magnetic moment
• Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)

Cited by in corpus (227)

• Particle Dark Matter: Evidence, Candidates and Constraints
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• R-parity violating supersymmetry
• SuSpect: a Fortran Code for the Supersymmetric and Higgs Particle Spectrum in the MSSM
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• 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
• Updated Estimate of the Muon Magnetic Moment Using Revised Results from e+e- Annihilation
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• The MSSM Parameter Space with Non-Universal Higgs Masses
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• The Physics of Hadronic Tau Decays
• The Muon Magnetic Moment and Supersymmetry
• Electroweak Precision Observables in the Minimal Supersymmetric Standard Model
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Towards a data-driven analysis of hadronic light-by-light scattering
• Electroweak and supersymmetric two-loop corrections to (g-2)_μ
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Supersymmetric Dark Matter and Yukawa Unification
• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• Recent Progress in Neutrino Factory and Muon Collider Research within the Muon Collaboration
• Single meson contributions to the muon's anomalous magnetic moment
• The Standard Model Prediction of the Muon Anomalous Magnetic Moment
• Updated Reach of the CERN LHC and Constraints from Relic Density, b->s gamma and a(mu) in the mSUGRA Model
• The hadronic contributions to the anomalous magnetic moment of the muon
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Contributions of axion-like particles to lepton dipole moments
• Old and new physics interpretations of the NuTeV anomaly
• Muon g-2 Theory: the Hadronic Part
• Yukawa Unification in SO(10)
• Updated Constraints on the Minimal Supergravity Model
• Updated Constraints on the Minimal Supergravity Model
• The muon g-2 and the bounds on the Higgs boson mass
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• 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
• Theory of the tau lepton anomalous magnetic moment
• Dispersive analysis of the pion transition form factor
• Electroweak Hadronic Contributions to the muon g-2
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• The SM prediction of g-2 of the muon
• Yukawa Quasi-Unification
• The Tenth-Order QED Contribution to the Lepton g-2: Evaluation of Dominant ${\alpha }^5$ Terms of Muon g-2
• The Weak Charge of the Proton and New Physics
• Hadronic light-by-light scattering in the muon g-2: a new short-distance constraint on pion exchange
• WMAP constraints on SUGRA models with non-universal gaugino masses and prospects for direct detection
• The Minimal Supersymmetric Model without a mu term
• Charged Lepton Flavour Violation and (g-2)_mu in the Littlest Higgs Model with T-Parity: a clear Distinction from Supersymmetry
• Improved ${\alpha }^4$ Term of the Muon Anomalous Magnetic Moment
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• A light complex scalar for the electron and muon anomalous magnetic moments
• Anomalous magnetic moment of the muon in a dispersive approach
• Global Electroweak Fits and Gauge Coupling Unification
• Higgs-mediated leptonic decays of B_s and B_d mesons as probes of supersymmetry
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Indirect Sensitivities to the Scale of Supersymmetry
• The Supersymmetric Parameter Space in Light of B-physics Observables and Electroweak Precision Data
• The Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment: Where do we stand?
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Resolving electron and muon $g-2$ within the 2HDM
• 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
• Discovering anomaly-mediated supersymmetry at the LHC
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Lattice QCD calculation of hadronic light-by-light scattering
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• ηand η' transition form factors from rational approximants
• Neutralino Dark Matter beyond CMSSM Universality
• Revised ${\alpha }^4$ term of lepton $g-2$ from the Feynman diagrams containing an internal light-by-light scattering subdiagram
• Lepton Flavor Violating Processes and Muon g-2 in Minimal Supersymmetric SO(10) Model
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon in the D-brane realization of the Standard Model
• Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach
• Lower limit on the neutralino mass in the general MSSM
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Search for the lepton flavor violating decay A^0/H^0 --> tau^{+/-} mu^{+/-} at hadron colliders
• Meson dominance of hadron form factors and large-Nc phenomenology
• Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory
• Upper and Lower Limits on Neutralino WIMP Mass and Spin--Independent Scattering Cross Section, and Impact of New (g-2)_{mu} Measurement
• Leading-order hadronic contribution to the electron and muon g-2
• Hadronic Contributions to the Muon Anomaly in the Constituent Chiral Quark Model
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• The hadronic light by light contribution to the $(g-2{)}_{\mu }$ with holographic models of QCD
• Diphotons from Tetraphotons in the Decay of a 125 GeV Higgs at the LHC
• Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon
• Hadronic corrections to $\mu$-$e$ scattering at NNLO with space-like data
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Pseudo scalar contributions to light-by-light correction of muon g-2 in AdS/QCD
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Phenomenological Indications of the Scale of Supersymmetry
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• Gauge and Scheme Dependence of Mixing Matrix Renormalization
• SUSY breaking mediation mechanisms and (g-2)_μ, B -> X_s γ, B -> X_{s} l^+ l^- and B_s -> μ^+ μ^-
• Electric and anomalous magnetic dipole moments of the muon in the MSSM
• Phenomenology of lepton flavor violation in 2HDM(III) from (g-2)_mu and leptonic decays
• The Forward-Backward Asymmetry of B to (pi,K) l^+ l^-: Supersymmetry at Work
• Modeling interactions of photons with pseudoscalar and vector mesons
• Electron, muon and tau magnetic moments: a theoretical update
• Hadronic light-by-light scattering contribution to the muon magnetic anomaly: constituent quark loops and QCD effects
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Improved constraints on supersymmetric dark matter from muon g-2
• Upper Bound on the Hadronic Light-by-Light Contribution to the Muon g-2
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Implications of a new light gauge boson for neutrino physics
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Lepton Flavor Violation in Z and Lepton Decays in Supersymmetric Models
• Hadronic Light-by-Light and the Pion Polarizability
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• Charged lepton Flavor Violation in Supersymmetry with Bilinear R-Parity Violation
• Theoretical precision in estimates of the hadronic contributions to (g-2)_mu and alpha_QED(M_Z)
• The role of sigma(e+e- -> hadrons) in precision tests of the Standard Model
• The role of momentum dependent dressing functions and vector meson dominance in hadronic light-by-light contributions to the muon g-2
• Implications of the Muon Anomalous Magnetic Moment for Supersymmetry
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Updated Implications of the Muon Anomalous Magnetic Moment for Supersymmetry
• Precision Analysis of the Lightest MSSM Higgs Boson at Future Colliders
• Tau Flavour Violation in Sparticle Decays at the LHC
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• A data-driven approach to ${\pi }^0,\eta$ and ${\eta }^{\prime }$ single and double Dalitz decays
• Scalar mesons and the muon anomaly
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• EKHARA Monte Carlo generator for e+e- to e+e-pi0 and e+e- to e+e- pi+pi- processes
• Interpreting the New Brookhaven g_mu - 2 Result
• Status of the lepton g-2 and effects of hadronic corrections
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Improved Standard-Model prediction for ${\pi }^0\to e^{+}{e}^{-}$
• Forward light-by-light scattering and electromagnetic correction to hadronic vacuum polarization
• Hadronic Light-by-Light Scattering in the Muonium Hyperfine Splitting
• Status of the Standard Model Prediction of the Muon g-2
• Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD
• Prospects for e+e- physics at Frascati between the phi and the psi
• Hadronic effects in leptonic systems: muonium hyperfine structure and anomalous magnetic moment of muon
• Single pion contribution to the hyperfine splitting in muonic hydrogen
• Supersymmetric dark matter in M31: can one see neutralino annihilation with CELESTE?
• Precision Electroweak Tests of the Standard Model
• Holographic QCD and the muon anomalous magnetic moment
• g factor in a light two body atomic system: a determination of fundamental constants to test QED
• Lepton Flavor Violation in the SUSY-GUT Models with Lopsided Mass Matrix
• Precision muon g-2 results and light Higgs bosons in the 2HDM(II)
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach
• Twenty Years of SUGRA
• The Muon Anomalous Magnetic Moment and the Pion Polarizability
• Hadronic light-by-light scattering contribution to the muon g-2 on the lattice
• Update on very light CP-odd scalar in the Two-Higgs-Doublet Model
• Muon Anomalous Magnetic Moment in a Supersymmetric U(1)' Model
• Hadronic light-by-light contribution to $a_{\mu }$: extended Nambu-Jona-Lasinio, chiral quark models and chiral Lagrangians
• Muon anomalous magnetic moment in a Calculable Model with one Extra Dimension
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Ballpark prediction for the hadronic light-by-light contribution to the muon (g-2)_μ
• The tau lepton anomalous magnetic moment
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• Gauge Mediation Models with Neutralino Dark Matter
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Recent Progress in Perturbative Quantum Field Theory
• Electroweak matrix elements at large Nc: matching quarks to mesons
• Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light ${\pi }^0$-pole Contribution to the Muon $g-2$
• Near threshold radiative 3$\pi$ production in $e^{+}{e}^{-}$ annihilation
• Tau Physics 2006: Summary & Outlook
• Electroweak Physics
• Hadronic light-by-light scattering contribution to the muon g-2
• Signals of sneutrino-antisneutrino mixing in an $e^{-}\gamma$ collider in anomaly-mediated supersymmetry breaking
• Measurement of the muon anomaly to high and even higher precision
• $CP$ violation in $\eta$ muonic decays
• Overview of the hadronic light-by-light contribution to the muon (g-2)
• Soft gluon fields and anomalous magnetic moment of muon
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• New physics for muon anomalous magnetic moment and its electroweak precision analysis
• Phenomenology of heterotic M-theory with five-branes
• Radiative processes (tau -> mu gamma, mu -> e gamma and muon g-2) as probes of ESSM/SO(10)
• Limits of the Standard Model
• Recent Muon g-2 Result in Deflected Anomaly-Mediated Supersymmetry Breaking
• Open Questions in High Energy Spin Physics
• The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
• Supersymmetry for Alp Hikers
• Thesis: Orientifolds, Anomalies and the Standard Model
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Hadronic light-by-light scattering contribution to the muon g-2
• Leptonic Probes of the Standard Model
• Why do we need the new BNL muon g-2 experiment now?
• Update of the Electron and Muon g-Factors
• Standard Model Predictions for the Muon $(g-2)/2$
• Damped $\sin (\beta -\alpha )$ of Higgs couplings and the lightest Higgs production at $\gamma \gamma$ colliders in MSSM
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g-2)
• Hadronic light-by-light scattering contribution to the muon g-2 from lattice QCD : Methodology
• On the Hadronic light-by-light contribution to the muon $g-2$
• Present Status of the Muon Anomalous Magnetic Moment
• Phenomenological model for the $\gamma \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0$ reaction
• Muon anomaly and a lower bound on higgs mass due to a light stabilized radion in the Randall-Sundrum model
• Theoretical Status of Muon (g-2)
• On the precision of a data-driven estimate of the pseudoscalar-pole contribution to hadronic light-by-light scattering in the muon g-2
• Hadronic Light-by-Light Contribution to Muon g-2: Status and Prospects
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model
• Hadronic light-by-light scattering contribution to g_{mu}-2
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation
• Hadronic contribution to the muon g-2: a Dyson-Schwinger perspective
• B_{s,d}--> mu^+ mu^- in technicolor model with scalars
• Hadronic light-by-light contribution to the muon g-2
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$
• The Muon Anomalous Magnetic Moment and the Standard Model
• Precision SUSY Physics
• Supersymmetric two-loop contributions to the anomalous magnetic moment of the muon
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Lepton Flavour Violating Z Decays in the MSSM
• Future Muon Dipole Moment Measurements
• Pseudoscalar pole contribution to the hadronic light-by-light piece of $a_{\mu }$
• Dark 2002 and Beyond
• Status of Supersymmetry in the Light of Recent Experiments
• Subleading hadronic vacuum polarization contributions to muon $g-2$: ${\mu }^{+}{\mu }^{-}\to {\gamma }^{\ast }\to {\pi }^0{\gamma }^{\ast }$