Spectral-weight sum rules for the hadronic vacuum polarization

Autor(es)

Boito, Diogo ; Golterman, Maarten ; Maltman, Kim ; Peris, Santiago

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 107, n. 3, p. 20-pg., 2023-02-28.

Resumo

We develop a number of sum rules comparing spectral integrals involving judiciously chosen weights to integrals over the corresponding Euclidean two-point function. The applications we have in mind are to the hadronic vacuum polarization that determines the most important hadronic correction aHVP mu to the muon anomalous magnetic moment. First, we point out how spectral weights may be chosen that ffiffiemphasize narrow regions in p s , providing a tool to investigate emerging discrepancies between data -driven and lattice determinations of aHVP mu . Alternatively, for a narrow region around the rho mass, they may allow for a comparison of the dispersive determination of aHVP mu with lattice determinations zooming in on the region of the well-known BABAR-KLOE discrepancy. Second, we show how such sum rules can in principle be used for carrying out precision comparisons of hadronic-r-decay-based data and e thorn e- -> hadrons(gamma )-based data, where lattice computations can provide the necessary isospin-breaking corrections. (AU)

• Processo FAPESP: 21/06756-6 - Testes do modelo padrão: QCD de precisão e g-2 do múon
• Beneficiário: Diogo Rodrigues Boito
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores - Fase 2