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Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment

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arxiv 1705.01067 v1 pith:43N2AW4W submitted 2017-05-02 hep-lat

Thomas Blum , Norman Christ , Masashi Hayakawa , Taku Izubuchi , Luchang Jin , Chulwoo Jung , Christoph Lehner This is my paper · ORCID
classification hep-lat
keywords volumemuonhadronicinfinitelatticeanomalouscontinuumexpected
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In our previous work, the connected and leading disconnected hadronic light-by-light contributions to the muon anomalous magnetic moment (g - 2) have been computed using lattice QCD ensembles corresponding to physical pion mass generated by the RBC/UKQCD collaboration. However, the calculation is expected to suffer from a significant finite volume error that scales like $1/L^2$ where $L$ is the spatial size of the lattice. In this paper, we demonstrate that this problem is cured by treating the muon and photons in infinite volume, continuum QED, resulting in a weighting function that is pre-computed and saved with affordable cost and sufficient accuracy. We present numerical results for the case when the quark loop is replaced by a muon loop, finding the expected exponential approach to the infinite volume limit and consistency with the known analytic result. We have implemented an improved weighting function which reduces both discretization and finite volume effects arising from the hadronic part of the amplitude.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Comparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to $a_\mu^{\mathrm{HVP}}$

    hep-lat 2025-06 accept novelty 6.0 of 10

    At fixed lattice spacing and volume with unphysical quark masses, direct QCD+QED simulation and the RM123 perturbative expansion give consistent U-spin window contributions to a_mu^HVP, with the direct simulation abou...

  2. Hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon at the physical pion mass

    hep-lat 2024-11 conditional novelty 6.0 of 10

    A lattice QCD calculation at the physical pion mass with staggered quarks yields a_mu^hlbl = 125.5(11.6)(0.4) x 10^-11, consistent with previous lattice and dispersive determinations.

  3. openQ*D code: a versatile tool for QCD+QED simulations

    hep-lat 2019-08 conditional novelty 6.0 of 10

    openQ*D is an open-source lattice code that simulates QCD plus QED with C* boundary conditions and Wilson fermions, extending openQCD and NSPT with new algorithmic features.

  4. Hadronic light-by-light contribution to the muon $g-2$ using twisted-mass fermions

    hep-lat 2024-12 conditional novelty 5.0 of 10

    Lattice QCD gives preliminary continuum-limit values for the charm and strange connected hadronic light-by-light contributions, plus first single-ensemble results for light connected and 2+2 disconnected contributions.

  5. The anomalous magnetic moment of the muon in the Standard Model

    hep-ph 2020-06 accept novelty 2.0 of 10

    The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.

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