An Update of the HLS Estimate of the Muon g-2

Abstract

A global fit of parameters allows us to pin down the Hidden Local Symmetry (HLS) effective Lagrangian, which we apply for the prediction of the leading hadronic vacuum polarization contribution to the muon g-2. The latter is dominated by the annihilation channel e+e- -> pi+pi-, for which data are available by scan (CMD-2 and SND) and ISR (KLOE-2008, KLOE-2010 and BaBar) experiments. It is well known that the different data sets are not in satisfactory agreement. In fact it is possible to fix the model parameters without using the pi+pi- data, by using instead the dipion spectra measured in the tau decays together with experimental spectra for the pi0 gamma, eta gamma, pi+pi-pi0, K+K-, K0bar K0 final states supplemented by specific meson decay properties. Among these, the accepted decay width for rho0 -> e+e- and the partial widths and phase information for the omega/phi -> pi+pi- transitions, are considered. It is then shown that, relying on this global data set, the HLS model, appropriately broken, allows to predict accurately the pion form factor up to 1.05 GeV. It is shown that the data samples provided by CMD-2, SND and KLOE-2010 behave consistently with each other and with the other considered data. Consistency problems with the KLOE-2008 and BaBar data samples are substantiated. "All data" global fits are investigated by applying reweighting the conflicting data sets. Constraining to our best fit, the broken HLS model yields a_mu(th) = (11659169.55 [+1.26 -0.59]_phi +[+0.00 -2.00]_tau +/- 5.21_(th))~10**-10 associated with a very good global fit probability. Correspondingly, we find that Delta a_mu=a_mu (exp)- a_mu (th) exhibits a significance ranging between 4.7 and 4.9 sigma.

2nd version: typos corrected, reference updated 3rd version: more information added, numerical results and conclusions unchanged; version accepted for publication in EPJC

References in corpus (13)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
• Precision measurement of $\sigma (e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma )/\sigma (e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma )$ and determination of the ${\pi }^{+}{\pi }^{-}$ contribution to the muon anomaly with the KLOE detector
• Status of the Fermilab Muon (g-2) Experiment
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Long-distance radiative corrections to the di-pion tau lepton decay
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• The width difference of rho vector mesons
• Model-dependent radiative corrections to tau- -> pi- pi0 nu revisited

Cited by in corpus (85)

• The anomalous magnetic moment of the muon in the Standard Model
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Single meson contributions to the muon's anomalous magnetic moment
• Towards the Identification of New Physics through Quark Flavour Violating Processes
• MSSM Interpretations of the LHC Discovery: Light or Heavy Higgs?
• The CMSSM and NUHM1 after LHC Run 1
• GM2Calc: Precise MSSM prediction for $(g-2)$ of the muon
• On the precision of a data-driven estimate of hadronic light-by-light scattering in the muon g-2: pseudoscalar-pole contribution
• Implications of Improved Higgs Mass Calculations for Supersymmetric Models
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• Low-mass right-handed sneutrino dark matter: SuperCDMS and LUX constraints and the Galactic Centre gamma-ray excess
• Testing the Muon g-2 Anomaly at the LHC
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• Leptonic Precision Test of Leptophilic Two-Higgs-Doublet Model
• The pMSSM10 after LHC Run 1
• Dispersive representation of the pion vector form factor in $\tau \to \pi \pi {\nu }_{\tau }$ decays
• Two-Loop Corrections to the Muon Magnetic Moment from Fermion/Sfermion Loops in the MSSM: Detailed Results
• Muon g-2 in the 2HDM: maximum results and detailed phenomenology
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Leading-order hadronic contribution to the electron and muon g-2
• Four-Flavour Leading-Order Hadronic Contribution To The Muon Anomalous Magnetic Moment
• Non-decoupling two-loop corrections to (g-2)_μ from fermion/sfermion loops in the MSSM
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Muon $g-2$ in the Aligned Two Higgs Doublet Model
• The branching ratio $\omega \to {\pi }^{+}{\pi }^{-}$ revisited
• Model-independent analysis of the DAMPE excess
• Leptoquark explanation of $h\to \mu \tau$ and muon $(g-2)$
• The Role of Mesons in Muon g-2
• The Higgs: so simple yet so unnatural
• Modeling interactions of photons with pseudoscalar and vector mesons
• Neutralinos and Sleptons at the LHC in Light of Muon $(g-2{)}_{\mu }$
• Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice
• Vector-Like Leptons and Inert Scalar Triplet: Lepton Flavor Violation, $g-2$ and Collider Searches
• New Constraints on General Slepton Flavor Mixing
• Updated Constraints on General Squark Flavor Mixing
• Electron contribution to the muon anomalous magnetic moment at four loops
• Light-by-light-type corrections to the muon anomalous magnetic moment at four-loop order
• Understanding the correlation between $(g-2{)}_{\mu }$ and $\mu \to e\gamma$ in the MSSM
• First muon acceleration using a radio frequency accelerator
• Two-pion low-energy contribution to the muon $g-2$ with improved precision from analyticity and unitarity
• Upper bounds on sparticle masses from muon g-2 and the Higgs mass and the complementarity of future colliders
• Reduction of Couplings and its application in Particle Physics
• Anomalous Muon Magnetic Moment in the Inverse Seesaw Extended Next-to-Minimal Supersymmetric Standard Model
• Anomalous Higgs Yukawa Couplings
• 125 GeV Higgs boson mass and muon g-2 in 5D MSSM
• The NUHM2 after LHC Run 1
• Verifiable Associated Processes from Radiative Lepton Masses with Dark Matter
• Dead or Alive? Implications of the Muon Anomalous Magnetic Moment for 3-3-1 Models
• Resurrecting the minimal renormalizable supersymmetric SU(5) model
• A 2HDM for the g-2 and Dark Matter
• Muon $(g-2)$ in the B-LSSM
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• Reconciling Muon g-2, 125 GeV Higgs and Dark Matter in Gauge Mediation Models
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Ballpark prediction for the hadronic light-by-light contribution to the muon (g-2)_μ
• A to Z of the Muon Anomalous Magnetic Moment in the MSSM with Pati-Salam at the GUT scale
• Muon anomalous magnetic dipole moment in the $\mu \nu$SSM
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Leading-order hadronic contributions to the electron and tau anomalous magnetic moments
• LHC 750 GeV diphoton excess and muon $(g-2)$
• Muon g-2 in GMSB with Adjoint Messengers
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Higher order hadronic and leptonic contributions to the muon $g-2$
• Pion form factor and reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^- at energies up to 2-3 GeV in the many-channel approach
• Comments on "An Update of the HLS Estimate of the Muon g-2"by M.Benayoun {\it et al.}, arXiv:1210.7184v3
• Reduction of the Parameters in MSSM
• CARLOMAT_3.0, an automatic tool for the electron-positron annihilation into hadrons at low energies
• Low-mass neutralino dark matter in supergravity scenarios: phenomenology and naturalness
• The HLS approach to $(g-2{)}_{\mu }$~: A Solution to the "$\tau$ versus $e^{+}{e}^{-}$" Puzzle
• Understanding the muon anomalous magnetic moment in light of a flavor symmetry-based Minimal Supersymmetric Standard Model
• Photon radiation in $e^{+}{e}^{-}\to$ hadrons at low energies with CARLOMAT 3.1
• Mini-Proceedings, 16th meeting of the Working Group on Radiative Corrections and MC Generators for Low Energies
• Muon anomalous magnetic moment and positron excess at AMS-02 in a gauged horizontal symmetric model
• Yukawa Unification with light supersymmetric particles consistent with LHC constraints
• Supersymmetry after the Higgs discovery and its LHC phenomenology
• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• Does the LHC exclude SUSY Particles at the ILC?
• The role of vector meson dominance and running masses in the hadronic contributions to the muon $g-2$
• Study of the ${\eta }^{\prime }$ $\to$ $V{e}^{+}{e}^{-}$ decay with hidden local symmetry model
• Explaining AMS-02 positron excess and muon anomalous magnetic moment in dark left-right gauge model
• Hadronic and radiative decays of the tau lepton
• Isospin-breaking corrections to ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays and the muon $g-2$