Higher order hadronic corrections to the anomalous magnetic moment of the muon

Calmet, Jacques; Narison, Stéphan; Perrottet, M.; Rafael, Eduardo de

doi:10.1016/0370-2693(76)90150-7

Cited by 76 publications

(65 citation statements)

References 17 publications

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“…In section 3, we derive a set of dispersion relations for HLbL scattering, leading to an expression for the ππ contribution to a µ in terms of γ * γ * → ππ partial waves. Finally, we offer our conclusions and an outlook in section 4. Various details of the calculation are discussed in the appendices.…”

Section: Jhep09(2014)091mentioning

confidence: 93%

Dispersive approach to hadronic light-by-light scattering

Colangelo

Hoferichter

Procura

et al. 2014

J. High Energ. Phys.

192

140

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Based on dispersion theory, we present a formalism for a model-independent evaluation of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. In particular, we comment on the definition of the pion pole in this framework and provide a master formula that relates the effect from ππ intermediate states to the partial waves for the process γ * γ * → ππ. All contributions are expressed in terms of onshell form factors and scattering amplitudes, and as such amenable to an experimental determination.

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Section: Jhep09(2014)091mentioning

confidence: 93%

Dispersive approach to hadronic light-by-light scattering

Colangelo

Hoferichter

Procura

et al. 2014

J. High Energ. Phys.

192

140

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“…Although here also the results depend on the models used, there is a constant feature that emerges from all the analyses that have been done: the contribution coming from the exchange of the pseudoscalars, Table 4. Leaving aside the first result [130,3] shown there, which is affected by a bad numerical convergence [131], one notices that the sign of this contribution has changed twice. The first change resulted from a mistake in Ref.…”

Section: Hadronic Light-by-light Scatteringmentioning

confidence: 99%

The Anomalous Magnetic Moment of the Muon: A Theoretical Introduction

Knecht

2004

Lecture Notes in Physics

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“…On the theory side, the uncertainty is dominated by hadronic effects [6][7][8], while QED [9] and electroweak [10] contributions are under control at the level of at least 1 × 10 −11 . Currently, the dominant source of hadronic uncertainties is hadronic vacuum polarization (HVP) at O(α 2 ) in the fine-structure constant, closely followed by the O(α 3 ) hadronic light-by-light (HLbL) contribution, depicted in figure 1, and with higherorder insertions of the same hadronic amplitudes already under sufficient control [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

Colangelo

Hoferichter

Procura

et al. 2017

J. High Energ. Phys.

377

257

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In this third paper of a series dedicated to a dispersive treatment of the hadronic light-by-light (HLbL) tensor, we derive a partial-wave formulation for two-pion intermediate states in the HLbL contribution to the anomalous magnetic moment of the muon (g − 2) µ , including a detailed discussion of the unitarity relation for arbitrary partial waves. We show that obtaining a final expression free from unphysical helicity partial waves is a subtle issue, which we thoroughly clarify. As a by-product, we obtain a set of sum rules that could be used to constrain future calculations of γ * γ * → ππ. We validate the formalism extensively using the pion-box contribution, defined by two-pion intermediate states with a pion-pole left-hand cut, and demonstrate how the full known result is reproduced when resumming the partial waves. Using dispersive fits to high-statistics data for the pion vector form factor, we provide an evaluation of the full pion box, a π-box µ = −15.9(2)×10 −11 . As an application of the partial-wave formalism, we present a first calculation of ππ-rescattering effects in HLbL scattering, with γ * γ * → ππ helicity partial waves constructed dispersively using ππ phase shifts derived from the inverse-amplitude method. In this way, the isospin-0 part of our calculation can be interpreted as the contribution of the f 0 (500) to HLbL scattering in (g − 2) µ . We argue that the contribution due to charged-pion rescattering implements corrections related to the corresponding pion polarizability and show that these are moderate. Our final result for the sum of pion-box contribution and its S-wave rescattering corrections reads a π-box µ + a ππ,π-pole LHC µ,J=0 = −24(1) × 10 −11 .

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Higher order hadronic corrections to the anomalous magnetic moment of the muon

Cited by 76 publications

References 17 publications

Dispersive approach to hadronic light-by-light scattering

Dispersive approach to hadronic light-by-light scattering

The Anomalous Magnetic Moment of the Muon: A Theoretical Introduction

Dispersion relation for hadronic light-by-light scattering: two-pion contributions

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