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000642904 088__ $$2arXiv$$aarXiv:2506.19770
000642904 1001_ $$00000-0001-9703-5506$$aAltherr, A.$$b0
000642904 245__ $$aComparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to ${a}_{\mu }^{\text{HVP}}$
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000642904 500__ $$a41 pages, 8 figures, 16 tables
000642904 520__ $$aElectromagnetic 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]
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000642904 650_7 $$2autogen$$aLattice QCD
000642904 650_7 $$2autogen$$aHadronic Spectroscopy
000642904 650_7 $$2autogen$$aStructure and Interactions
000642904 650_7 $$2autogen$$aAlgorithms and Theoretical Developments
000642904 650_7 $$2autogen$$aLattice Quantum Field Theory
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000642904 7001_ $$0P:(DE-H253)PIP1026171$$aCampos, I.$$b1
000642904 7001_ $$00000-0002-0028-5849$$aCotellucci, A.$$b2
000642904 7001_ $$0P:(DE-HGF)0$$aGruber, Roman$$b3
000642904 7001_ $$0P:(DE-H253)PIP1018328$$aHarris, T.$$b4
000642904 7001_ $$00000-0002-6943-8735$$aKomijani, J.$$b5
000642904 7001_ $$00000-0003-2155-7679$$aMargari, F.$$b6
000642904 7001_ $$0P:(DE-H253)PIP1093373$$aMarinkovic, M. K.$$b7
000642904 7001_ $$00000-0001-7500-6747$$aParato, L.$$b8
000642904 7001_ $$0P:(DE-H253)PIP1084557$$aPatella, A.$$b9
000642904 7001_ $$00009-0008-6734-4883$$aRosso, S.$$b10
000642904 7001_ $$0P:(DE-H253)PIP1012039$$aTantalo, N.$$b11
000642904 7001_ $$0P:(DE-HGF)0$$aTavella, P.$$b12$$eCorresponding author
000642904 7001_ $$0P:(DE-HGF)0$$aRC⋆ Collaboration$$b13$$eCollaboration author
000642904 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP10(2025)158$$gVol. 10, no. 10, p. 158$$n10$$p158$$tJournal of high energy physics$$v10$$x1126-6708$$y2025
000642904 7870_ $$0PUBDB-2026-00609$$aAltherr, A. et.al.$$dHeidelberg : Springer, 2025$$iIsParent$$rarXiv:2506.19770$$tComparing QCD+QED via full simulation versus the RM123 method: U-spin window contribution to ${a}_{\mu }^{\text{HVP}}$
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