Recent developments in the comparison between theory and experiments in quantum electrodynamics

Lautrup, B.; Peterman, A.; Rafael, Eduardo de

doi:10.1016/0370-1573(72)90011-7

Cited by 368 publications

(209 citation statements)

References 214 publications

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“…2 Lattice approaches to a hvp µ The hadronic vacuum polarization contribution, a hvp µ , to the muon anomalous magnetic moment can be obtained from the vacuum polarization function Π(Q 2 ) convoluted with a known kernel function K(Q 2 ; m 2 µ ) (defined in appendix B) and integrated over Euclidean momenta Q 2 [28,50,59], as…”

Section: Jhep10(2017)020mentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a hvp µ , in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finitevolume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for a hvp JHEP10 (2017)020 10 −10 , where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining a hvp µ with sub-percent precision.

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Section: Jhep10(2017)020mentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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“…If we first integrate over x we find the well known standard representation as an integral along the cut of the vacuum polarization amplitude in the time-like region, while an interchange of the order of integrations yields an integral over the hadronic shift of the fine structure constant in the spacelike domain [43]:…”

Section: Evaluation Of a µ Via The Adler Functionmentioning

confidence: 99%

Theoretical precision in estimates of the hadronic contributions to (g − 2)μ and αQED(Mz)

Jegerlehner¹

2004

Nuclear Physics B - Proceedings Supplements

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I review recent estimates of the non-perturbative hadronic vacuum polarization contributions. Since these at present can only be evaluated in terms of experimental data of limited precision, the related uncertainties pose a serious limitation in our ability to make precise predictions. Besides e + e − -annihilation data also τ decay spectra can help to get better predictions. Here, it is important to account for all possible iso-spin violations in τ -decay spectra, from which e + e − cross sections may be obtained by an iso-spin rotation. The observed 10% discrepancy in the region above the ρ may be understood as a so far unaccounted iso-spin breaking effect.

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“…For the calculation of the hadronic leading contribution a HLO μ with the t-channel approach an alternative formula to the dispersion integral [3,21] can be exploited [18,22], namely:…”

Section: Measuring the Hadronic Leadingmentioning

confidence: 99%

Measuring the leading hadronic contribution to the muon g-2 via the -e elastic scattering.

Marconi

Piccinini

2018

EPJ Web Conf.

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Abstract. The precision measurement of the anomalous magnetic moment g-2 of the muon presently exhibits a 3.5 σ deviation between theory and experiments. In the next few years the anomalous magnetic moment will be measured to higher precisions at Fermilab and J-PARC. The theoretical prediction can be improved by reducing the uncertainty on the leading hadronic correction a HLO μ to the g-2. Here we present a novel approach to determine a HLO μ with space-like data, by means of precise measurement of the hadronic shift of the effective electromagnetic coupling α exploiting the elastic scattering of 150 GeV muons (currently available at CERN North area) on atomic electrons of a low-Z target. The direct measurement of a HLO μ in the space-like region will provide a new independent determination competitive with the time-like dispersive approach, and will consolidate the theoretical prediction of the muon g-2 in the Standard Model. It will allow therefore a firmer interpretation of the measurements of the future muon g-2 experiments at Fermilab and J-PARC

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Recent developments in the comparison between theory and experiments in quantum electrodynamics

Cited by 368 publications

References 214 publications

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Theoretical precision in estimates of the hadronic contributions to (g − 2)μ and αQED(Mz)

Measuring the leading hadronic contribution to the muon g-2 via the -e elastic scattering.

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