Lattice calculation of the HVP contribution to the anomalous magnetic moment of muon

Chakraborty, Bipasha; Davies, C. T. H.; Oliveira, Pedro Gonçalves de; Koponen, Jonna; Lepage, G. Peter

doi:10.48550/arxiv.1511.05870

Cited by 3 publications

(5 citation statements)

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“…The above findings represent only a small fraction of the uncertainties of the present lattice estimates of the three contributions to a had µ (see Refs. [13][14][15]19]).…”

Section: B Local Versus Conserved Vector Currents On the Latticementioning

confidence: 99%

“…Let's start by considering the evaluation of a had µ (<) and a had µ (>) defined in Eqs. (15)(16) for various values of the "cut" T data chosen in the range between t min and t max given in Table II.…”

Section: Strange and Charm Contributions: Lowest Ordermentioning

confidence: 99%

“…[8][9][10], namely to compute a had µ (α 2 em ) in Euclidean lattice QCD from the correlation function of two electromagnetic currents. In this respect an impressive progress in the lattice determinations of a had µ (α 2 em ) has been achieved in the last few years [11][12][13][14][15][16][17][18][19][20][21] and very interesting attempts to compute also the LBL contribution are under way both on the lattice [22,23] and via dispersion approaches and Chiral Perturbation Theory (ChPT) [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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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 corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with N f = 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 M π 210-450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: a s µ (α 2 em ) = (53.1 ± 2.5) · 10 −10 , a s µ (α 3 em ) = (−0.018 ± 0.011) · 10 −10 and a c µ (α 2 em ) = (14.75 ± 0.56) · 10 −10 , a c µ (α 3 em ) = (−0.030 ± 0.013) · 10 −10 for the strange and charm contributions, respectively.

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“…The above findings represent only a small fraction of the uncertainties of the present lattice estimates of the three contributions to a had µ (see Refs. [13][14][15]19]).…”

Section: B Local Versus Conserved Vector Currents On the Latticementioning

confidence: 99%

Section: Strange and Charm Contributions: Lowest Ordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Giusti

Lubicz

Martinelli

et al. 2017

J. High Energ. Phys.

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show abstract

“…[8][9][10], namely to compute a HVP µ in lattice QCD from the Euclidean correlation function of two electromagnetic (em) currents. In this respect an impressive progress in the lattice determinations of a HVP µ has been achieved in the last few years [11][12][13][14][15][16][17][18][19][20][21][22][23] and very interesting attempts to compute also the LBL contribution are under way both on the lattice [24,25] and via dispersion approaches and Chiral Perturbation Theory (ChPT) [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Light-quark contribution to the leading hadronic vacuum polarization term of the muon g−2 from twisted-mass fermions

2018

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We present a lattice calculation of the leading Hadronic Vacuum Polarization (HVP) contribution of the light u-and d-quarks to the anomalous magnetic moment of the muon, a HVP µ (ud), adopting the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with N f = 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. Thanks to several lattices at fixed values of the light-quark mass and scale but with different sizes we perform a careful investigation of finite-volume effects (FVEs), which represent one of main source of uncertainty in modern lattice calculations of a HVP µ (ud). In order to remove FVEs we develop an analytic representation of the vector correlator, which describes the lattice data for time distances larger than 0.2 fm. The representation is based on quark-hadron duality at small and intermediate time distances and on the two-pion contributions in a finite box at larger time distances. After removing FVEs we extrapolate the corrected lattice data to the physical pion point and to the continuum limit taking into account the chiral logs predicted by Chiral Perturbation Theory (ChPT). We obtain a HVP µ (ud) = 619.0 (17.8)· 10 −10 . Adding the contribution of strange and charm quarks, obtained by ETMC, and an estimate of the isospin-breaking corrections and quark-disconnected diagrams from the literature we get a HVP µ (udsc) = 683 (19) · 10 −10 , which is consistent with recent results based on dispersive analyses of the experimental cross section data for e + e − annihilation into hadrons. Using our analytic representation of the vector correlator, taken at the physical pion mass in the continuum and infinite volume limits, we provide the first eleven moments of the polarization function and we compare them with recent results of the dispersive analysis of the π + π − channels. We estimate also the light-quark contribution to the missing part of a HVP µ not covered in the MUonE experiment. arXiv:1808.00887v3 [hep-lat] 6 Dec 2018 2

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“…[7][8][9], is to compute a had µ (α 2 em ) in Euclidean lattice QCD from the correlation function of two e.m. currents. In this respect an impressive progress in the lattice determinations of a had µ (α 2 em ) has been achieved in the last few years [10][11][12][13][14][15][16][17][18][19][20]. 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(α 3 em ) and O(α 2 em (m d − m u )), respectively) to the HVP.…”

Section: Introductionmentioning

confidence: 99%

HVP contributions to the muon (g−2) including QED corrections with twisted-mass fermions

et al. 2018

View full text Add to dashboard Cite

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 N f = 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 M π 210 − 450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting disconnected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: a s µ (α 2 em ) = (53.1 ± 2.5) · 10 −10 , a s µ (α 3 em ) = (−0.018 ± 0.011) · 10 −10 and a c µ (α 2 em ) = (14.75 ± 0.56) · 10 −10 , a c µ (α 3 em ) = (−0.030 ± 0.013) · 10 −10 for the strange and charm contributions, respectively.

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Lattice calculation of the HVP contribution to the anomalous magnetic moment of muon

Cited by 3 publications

References 0 publications

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

Light-quark contribution to the leading hadronic vacuum polarization term of the muon g−2 from twisted-mass fermions

HVP contributions to the muon (g−2) including QED corrections with twisted-mass fermions

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