Spectral-weight sum rules for the hadronic vacuum polarization. BOITO, Diogo Rodrigues; GOLTERMAN, Maarten; MALTMAN, Kim; PERIS, Santiago.
Abstract: 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 aHVPµ to the muon anomalous magnetic moment. First, we point out how spectral weights may be chosen that emphasize narrow regions in vs, providing a tool to investigate emerging discrepancies between data-driven and lattice determinations of aHVPµ. Alternatively, for a narrow region around the ? mass, they may allow for a comparison of the dispersive determination of aHVPµ 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-t-decay-based data and e+e- ? hadrons(?)-based data, where lattice computations can provide the necessary isospin-breaking corrections.
Physical Review D
v. 107, n. 3, p. 034512-1-034512-20 - Ano: 2023
Fator de Impacto: 5,407
@article={003126492,author = {BOITO, Diogo Rodrigues; GOLTERMAN, Maarten; MALTMAN, Kim; PERIS, Santiago.},title={Spectral-weight sum rules for the hadronic vacuum polarization},journal={Physical Review D},note={v. 107, n. 3, p. 034512-1-034512-20},year={2023}}
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Abstract: 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 aHVPµ to the muon anomalous magnetic moment. First, we point out how spectral weights may be chosen that emphasize narrow regions in vs, providing a tool to investigate emerging discrepancies between data-driven and lattice determinations of aHVPµ. Alternatively, for a narrow region around the ? mass, they may allow for a comparison of the dispersive determination of aHVPµ 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-t-decay-based data and e+e- ? hadrons(?)-based data, where lattice computations can provide the necessary isospin-breaking corrections.
@article={003126492,author = {BOITO, Diogo Rodrigues; GOLTERMAN, Maarten; MALTMAN, Kim; PERIS, Santiago.},title={Spectral-weight sum rules for the hadronic vacuum polarization},journal={Physical Review D},note={v. 107, n. 3, p. 034512-1-034512-20},year={2023}}