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@ARTICLE{Altherr:642904,
      author       = {Altherr, A. and Campos, I. and Cotellucci, A. and Gruber,
                      Roman and Harris, T. and Komijani, J. and Margari, F. and
                      Marinkovic, M. K. and Parato, L. and Patella, A. and Rosso,
                      S. and Tantalo, N. and Tavella, P.},
      collaboration = {RC⋆{ Collaboration}},
      title        = {{C}omparing {QCD}+{QED} via full simulation versus the
                      {RM}123 method: {U}-spin window contribution to ${a}_{\mu
                      }^{\text{{HVP}}}$},
      journal      = {Journal of high energy physics},
      volume       = {10},
      number       = {10},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2025-05700, arXiv:2506.19770},
      pages        = {158},
      year         = {2025},
      note         = {41 pages, 8 figures, 16 tables},
      abstract     = {Electromagnetic corrections to hadronic vacuum polarization
                      contribute significantly to the uncertainty of the Standard
                      Model prediction of the muon anomaly, which poses conceptual
                      and numerical challenges for ab initio lattice
                      determinations. In this study, we compute the non-singlet
                      contribution from intermediate Euclidean current separations
                      in quantum chromo- and electrodynamics (QCD+QED) using
                      C$^{⋆}$ boundary conditions in two ways: either
                      non-perturbatively by sampling the joint probability
                      distribution directly or by perturbatively expanding from an
                      isospin-symmetric theory. This allows us to compare the
                      predictions and their uncertainties at a fixed lattice
                      spacing and volume, including fully the sea quarks effects
                      in both cases. Treating carefully the uncertainty due to
                      tuning to the same renormalized theory with N$_{f}$ = 1 + 2
                      + 1 quarks, albeit with unphysical masses, we find it
                      advantageous to simulate the full QCD+QED distribution given
                      a fixed number of samples. This study lays the ground-work
                      for further applications of C$^{⋆}$ boundary conditions to
                      study QCD+QED at the physical point, essential for the next
                      generation of precision tests of the Standard Model.[graphic
                      not available: see fulltext]},
      keywords     = {Lattice QCD (autogen) / Hadronic Spectroscopy (autogen) /
                      Structure and Interactions (autogen) / Algorithms and
                      Theoretical Developments (autogen) / Lattice Quantum Field
                      Theory (autogen)},
      cin          = {$Z_ZPPT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / GRK
                      2575 - GRK 2575: Überdenken der Quantenfeldtheorie
                      (417533893)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)417533893},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2506.19770},
      howpublished = {arXiv:2506.19770},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2506.19770;\%\%$},
      doi          = {10.1007/JHEP10(2025)158},
      url          = {https://bib-pubdb1.desy.de/record/642904},
}