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- W3017380374 abstract "We analyze the electromagnetic current correlator at an arbitrary photon invariant mass $q^2$ by exploiting its associated dispersion relation. The dispersion relation is turned into an inverse problem, via which the involved vacuum polarization function $Pi(q^2)$ at low $q^2$ is solved with the perturbative input of $Pi(q^2)$ at large $q^2$. It is found that the result for $Pi(q^2)$, including its first derivative $Pi^prime(q^2=0)$, agrees with those from lattice QCD, and its imaginary part accommodates the $e^+e^-$ annihilation data. The corresponding hadronic vacuum polarization contribution $a^{rm HVP}_mu= (641^{+65}_{-63})times 10^{-10}$ to the muon anomalous magnetic moment $g-2$, where the uncertainty arises from the variation of the perturbative input, also agrees with those obtained in other phenomenological and theoretical approaches. We point out that our formalism is equivalent to imposing the analyticity constraint to the phenomenological approach solely relying on experimental data, and can improve the precision of the $a^{rm HVP}_mu$ determination in the Standard Model." @default.
- W3017380374 created "2020-04-24" @default.
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- W3017380374 date "2020-11-09" @default.
- W3017380374 modified "2023-10-03" @default.
- W3017380374 title "Vacuum polarization contribution to muon <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> as an inverse problem" @default.
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- W3017380374 doi "https://doi.org/10.1103/physrevd.102.094003" @default.
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