Abstract
We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic (e.m.) corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with Nf = 2+1 + 1 dynamical quarks at three values of the lattice spacing (a ≃ 0.062,0.082,0.089 fm) with pion masses in the range Mπ ≃ 210 - 450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting discon-nected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: [see formula in PDF] and [see formula in PDF] for the strange and charm contributions, respectively.!
Highlights
The anomalous magnetic moment of the muon aμ ≡ (g − 2)/2 is known experimentally with an accuracy of the order of 0.54 ppm, while the current precision of the Standard Model (SM) prediction is at the level of 0.4 ppm [1]
We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic (e.m.) corrections
For this reason an intense research program is under way to improve the evaluation of the leading-order hadronic contribution to aμ due to the HVP correction to the one-loop diagram, ahμad(α2em), as well as to the next-to-leading-order hadronic corrections, which include O(α3em) contributions
Summary
The anomalous magnetic moment of the muon aμ ≡ (g − 2)/2 is known experimentally with an accuracy of the order of 0.54 ppm, while the current precision of the Standard Model (SM) prediction is at the level of 0.4 ppm [1]. The forthcoming g − 2 experiments at Fermilab (E989) [2] and J-PARC (E34) [3] aim at reducing the experimental uncertainty by a factor of four, down to 0.14 ppm Such a precision makes the comparison of the experimental value of aμ with theoretical predictions one of the most important tests of the Standard Model in the quest for new physics effects. With the increasing precision of the lattice calculations, it becomes necessary to include e.m. and strong isospin breaking (IB) corrections (contributing at order O(α3em) and O(α2em(md − mu)), respectively) to the HVP In this contribution we present the results of a lattice calculation of the e.m. corrections to the HVP contribution due to strange and charm quark intermediate states, obtained in Ref. For the same reason we do not have yet results for the disconnected contributions
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