Abstract
The leading hadronic contributions to the anomalous magnetic moments of the electron and the $$\tau $$ -lepton are determined by a four-flavour lattice QCD computation with twisted mass fermions. The results presented are based on the quark-connected contribution to the hadronic vacuum polarisation function. The continuum limit is taken and systematic uncertainties are quantified. Full agreement with results obtained by phenomenological analyses is found.
Highlights
The standard model of particle physics (SM) contains three charged leptons l, mainly differing in mass, the electron, the muon and the τ -lepton with me : mμ : mτ ≈ 1 : 207 : 3477 [1]
The leading hadronic contributions to the anomalous magnetic moments of the electron and the τ -lepton are determined by a four-flavour lattice QCD computation with twisted mass fermions
The results presented are based on the quark-connected contribution to the hadronic vacuum polarisation function
Summary
The standard model of particle physics (SM) contains three charged leptons l, mainly differing in mass, the electron, the muon and the τ -lepton with me : mμ : mτ ≈ 1 : 207 : 3477 [1]. [5], uncertainties in the sub− region might be expected which would clearly provide the opportunity to detect new physics contributions in the anomalous magnetic moment of the electron and to cross-check the muon discrepancy In this situation it will again be of utmost importance to know the hadronic contributions as precisely as possible. 3. In this article, we present the results of our four-flavour computations of the quark-connected, LO hadronic vacuum polarisation contributions to the electron and τ -lepton anomalous magnetic moments obtained from the (maximally) twisted mass formulation of LQCD.
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