APS : Update of Euclidean windows of the hadronic vacuum polarization

Blum, T.; Meyer, A.S.; Tsang, J.T.; Jin, L.; Hill, R.C.; Jung, C.; Lehner, C.; Jüttner, A.; Kelly, C.; Mawhinney, R.D.; Matsumoto, N.; Boyle, P.A.; Bruno, M.; Gülpers, V.; Izubuchi, T.; Jang, Y.-C.; Giusti, D.

doi:10.1103/PhysRevD.108.054507

Article
Report number	arXiv:2301.08696 ; CERN-TH-2023-010
Title	Update of Euclidean windows of the hadronic vacuum polarization
Related title	An update of Euclidean windows of the hadronic vacuum polarization
Author(s)	Blum, T. (Connecticut U.) ; Boyle, P.A. (Brookhaven ; U. Edinburgh) ; Bruno, M. (Milan Bicocca U. ; INFN, Milan Bicocca) ; Giusti, D. (Regensburg U.) ; Gülpers, V. (U. Edinburgh) ; Hill, R.C. (U. Edinburgh) ; Izubuchi, T. (Brookhaven ; RIKEN BNL) ; Jang, Y.-C. (Brookhaven ; Columbia U. ; Columbia U., Astron. Astrophys.) ; Jin, L. (Connecticut U. ; RIKEN BNL) ; Jung, C. (Brookhaven) ; Jüttner, A. (CERN ; Southampton U.) ; Kelly, C. (Brookhaven Natl. Lab.) ; Lehner, C. (Regensburg U.) ; Matsumoto, N. (RIKEN BNL) ; Mawhinney, R.D. (Columbia U. ; Columbia U., Astron. Astrophys.) ; Meyer, A.S. (UC, Berkeley ; LBL, Berkeley ; Southern Denmark U., CP3-Origins) ; Tsang, J.T. (CERN ; U. Southern Denmark, Odense, DIAS) RBC Collaboration Afficher les 17 auteurs
Publication	2023-09-01
Imprint	2023-01-20
Number of pages	24
Note	24 pages, 15 figures
In:	Phys. Rev. D 108 (2023) 054507
DOI	10.1103/PhysRevD.108.054507 (publication)
Subject category	hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
Abstract	We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. We find $a_\mu^{\rm W} = 235.56(65)(50) \times 10^{-10}$ , which is in $3.8\sigma$ tension with the recently published dispersive result of Colangelo et al., $a_\mu^{\rm W} = 229.4(1.4) \times 10^{-10}$ , and in agreement with other recent lattice determinations. We also provide a result for the standard short-distance window. The results reported here are unchanged compared to our presentation at the Edinburgh workshop of the g-2 Theory Initiative in 2022.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2023-2025 authors (License: CC BY 4.0), sponsored by SCOAP³

$The diagrams of a complete calculation of $a_\mu^{\rm HVP~LO}$ when formulated as an expansion around an isospin-symmetric limit. In the isospin-symmetric limit, there is a quark-connected (left) and quark-disconnected contribution (right). For the QED- and strong-isospin-breaking (SIB) corrections, we indicate the photon vertices that connect to the muon with filled dots and only show the respective sub-diagrams. For the QED corrections, one has to enforce the exchange of gluons between the quark loops in diagram F to avoid double-counting of higher-order HVP contributions. For the SIB corrections, the crosses denote scalar operator insertions to allow for a linear correction in the respective quark masses.$ $Ratio $C^{\rm lc}(t) / C^{\rm ll}(t)$ as a function of Euclidean time $t$ on the 96I ensemble.$ $Wilson-flowed energy density $E(\tf)$ multiplied with the flow-time $\tf$ for $N_f=2+1$ and $N_f=2+1+1$ ensembles. The small statistical uncertainties for each line are shown as an error band.$ Show more plots

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Notice créée le 2023-02-07, modifiée le 2025-02-22

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