Updated pseudoscalar contributions to the hadronic light-by-light of the muon (<i>g</i> − 2)

Sánchez-Puertas, Pablo; Masjuan, Pere

doi:10.1142/s0217732316300342

Cited by 4 publications

(2 citation statements)

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“…This corresponds to a relative precision of 6%. In fact, this purely lattice result can be further improved if the normalization of the TFF is constrained by the experimental result [ 155 ] Both results are in very good agreement with other determinations based on a dispersive analysis [ 129 , 152 , 153 ] and Canterbury approximants [ 156 , 157 ], with a comparable precision.…”

Section: The Hadronic Light-by-light Contributionsupporting

confidence: 70%

The anomalous magnetic moment of the muon: status of lattice QCD calculations

Gérardin

2021

Eur. Phys. J. A

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In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about is observed between the phenomenological estimate and the Brookhaven measurement. The current best phenomenological estimate has an uncertainty comparable to the experimental one and the error is completely dominated by hadronic effects: the leading order hadronic vacuum polarization (HVP) contribution and the hadronic light-by-light (HLbL) scattering contribution. Both are accessible via lattice simulations and a reduction of the error by a factor 4 is required in view of the forthcoming experiments at Fermilab and J-PARC whose results, expected in the next few years, should reduce the experimental precision down to the level of 0.14 ppm. In this article, I review the status of lattice calculations of those quantities, starting with the HVP. This contribution has now reached sub-percent precision and requires a careful understanding of all sources of systematic errors. The HLbL contribution, that is much smaller, still contributes significantly to the error. This contribution is more challenging to compute, but rapid progress has been made on the lattice in the last few years.

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Section: The Hadronic Light-by-light Contributionsupporting

confidence: 70%

The anomalous magnetic moment of the muon: status of lattice QCD calculations

Gérardin

2021

Eur. Phys. J. A

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“…Both results are in very good agreement with other determinations based on a dispersive analysis a HLbL;π 0 µ = 63.0 +2.7 −2.1 × 10 −11 [147,124,148] and Canterbury approximants a HLbL;π 0 µ = 63.6(2.7)×10 −11 [151,152], with a comparable precision.…”

Section: Results For the Pion-pole Contributionsupporting

confidence: 90%

The anomalous magnetic moment of the muon: status of Lattice QCD calculations

Gérardin

2020

Preprint

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In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about 3.5 σ is observed between the phenomenological estimate and the Brookhaven measurement. The current best phenomenological estimate has an uncertainty comparable to the experimental one and the error is completely dominated by hadronic effects: the leading order hadronic vacuum polarization (HVP) contribution and the hadronic light-by-light (HLbL) scattering contribution. Both are accessible via lattice simulations and a reduction of the error by a factor 4 is required in view of the forthcoming experiments at Fermilab and J-PARC whose results, expected in the next few years, should reduce the experimental precision down to the level of 0.14 ppm. In this article, I review the status of lattice calculations of those quantities, starting with the HVP. This contribution has now reached sub-percent precision and requires a careful understanding of all sources of systematic errors. The HLbL contribution, that is much smaller, still contributes significantly to the error. This contribution is more challenging to compute, but rapid progress has been made on the lattice in the last few years.

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