Comparison of the hadronic vacuum polarization between hadronic $τ$-decay data and lattice QCD
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
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2026
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| _version_ | 1866917486530658304 |
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| author | Allen, Noah Boito, Diogo Golterman, Maarten Maltman, Kim Mansur, Lucas M. Peris, Santiago |
| author_facet | Allen, Noah Boito, Diogo Golterman, Maarten Maltman, Kim Mansur, Lucas M. Peris, Santiago |
| contents | We compare the isospin-one, vector-current hadronic vacuum polarization (HVP) obtained from isospin-symmetric lattice QCD with that obtained from a dispersive representation employing inclusive hadronic $τ$ decay data corrected for isospin breaking. We consider the subtracted HVP evaluated at squared Euclidean momenta ranging from $0.5$ GeV$^2$ to $12$ GeV$^2$, together with the light-quark-connected HVP contribution to the muon anomalous magnetic moment and the short-, intermediate- and long-distance RBC/UKQCD window components thereof. Dispersive contributions from the region of hadronic invariant masses above the $τ$ mass are evaluated using perturbative QCD. We also consider dispersive determinations using $τ$ data only for contributions from two-pion, or two-pion and four-pion, modes, and evaluating the remaining contributions using exclusive-mode $e^+e^-\to\mbox{hadrons}$ cross sections up to about 2 GeV, lessening the dependence on perturbation theory. We find generally good agreement between lattice and $τ$-based results. However, a comparison of $τ$-based window-quantity contributions for the two four-pion modes to expectations for those contributions based on the Pais relations and $e^+e^-$ four-pion cross sections, reveals significant differences for the $2π^-π^+π^0$ mode. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12205 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Comparison of the hadronic vacuum polarization between hadronic $τ$-decay data and lattice QCD Allen, Noah Boito, Diogo Golterman, Maarten Maltman, Kim Mansur, Lucas M. Peris, Santiago High Energy Physics - Phenomenology High Energy Physics - Lattice We compare the isospin-one, vector-current hadronic vacuum polarization (HVP) obtained from isospin-symmetric lattice QCD with that obtained from a dispersive representation employing inclusive hadronic $τ$ decay data corrected for isospin breaking. We consider the subtracted HVP evaluated at squared Euclidean momenta ranging from $0.5$ GeV$^2$ to $12$ GeV$^2$, together with the light-quark-connected HVP contribution to the muon anomalous magnetic moment and the short-, intermediate- and long-distance RBC/UKQCD window components thereof. Dispersive contributions from the region of hadronic invariant masses above the $τ$ mass are evaluated using perturbative QCD. We also consider dispersive determinations using $τ$ data only for contributions from two-pion, or two-pion and four-pion, modes, and evaluating the remaining contributions using exclusive-mode $e^+e^-\to\mbox{hadrons}$ cross sections up to about 2 GeV, lessening the dependence on perturbation theory. We find generally good agreement between lattice and $τ$-based results. However, a comparison of $τ$-based window-quantity contributions for the two four-pion modes to expectations for those contributions based on the Pais relations and $e^+e^-$ four-pion cross sections, reveals significant differences for the $2π^-π^+π^0$ mode. |
| title | Comparison of the hadronic vacuum polarization between hadronic $τ$-decay data and lattice QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2605.12205 |