Direct calculation of hadronic light-by-light scattering

Green, Jeremy; Asmussen, Nils; Gryniuk, Oleksii; Hippel, Georg von; Meyer, Harvey B.; Nyffeler, Andreas; Pascalutsa, Vladimir

doi:10.22323/1.251.0109

Cited by 21 publications

(40 citation statements)

References 13 publications

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“…Moreover, there is an ongoing aspiration to reduce the theoretical errors ; however, calculating the SM contribution to a µ is still burdensome with large uncertainties arising [51,52] most prominently from hadronic light-light corrections [45,[53][54][55][56][57][58][59].…”

Section: Muon Anomalous Magnetic Momentmentioning

confidence: 99%

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

2018

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We review how the muon anomalous magnetic moment (g − 2) and the quest for lepton flavor violation are intimately correlated. Indeed the decay µ → eγ is induced by the same amplitude for different choices of in-and outgoing leptons. In this work, we try to address some intriguing questions such as:Which hierarchy in the charged lepton sector one should have in order to reconcile possible signals coming simultaneously from g − 2 and lepton flavor violation?What can we learn if the g − 2 anomaly is confirmed by the upcoming flagship experiments at FERMILAB and J-PARC, and no signal is seen in the decay µ → eγ in the foreseeable future? On the other hand, if the µ → eγ decay is seen in the upcoming years, do we need to necessarily observe a signal also in g − 2?.In this attempt, we generally study the correlation between these observables in a detailed analysis of simplified models. We derive master integrals and

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Section: Muon Anomalous Magnetic Momentmentioning

confidence: 99%

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

2018

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“…This concerns both a hvp µ , studied in [28][29][30][31][32][33][34][35][36][37][38][39][40], as well as a hlbl µ [41][42][43][44][45][46][47][48][49]. Lattice calculations of a hvp µ proceed by evaluating a convolution integral over Euclidean momenta Q 2 [28,50].…”

Section: Jhep10(2017)020mentioning

confidence: 99%

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Morte

Francis

Gülpers

et al. 2017

J. High Energ. Phys.

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We present a calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment, a hvp µ , in lattice QCD employing dynamical up and down quarks. We focus on controlling the infrared regime of the vacuum polarization function. To this end we employ several complementary approaches, including Padé fits, time moments and the time-momentum representation. We correct our results for finitevolume effects by combining the Gounaris-Sakurai parameterization of the timelike pion form factor with the Lüscher formalism. On a subset of our ensembles we have derived an upper bound on the magnitude of quark-disconnected diagrams and found that they decrease the estimate for a hvp JHEP10 (2017)020 10 −10 , where the first error is statistical, and the second denotes the combined systematic uncertainty. Based on our findings we discuss the prospects for determining a hvp µ with sub-percent precision.

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“…(2.15), consisting of a QED kernel function weighting the Euclidean position-space QCD four-point function [11,12]. We have completed the calculation of the QED kernel in the continuum in infinite volume.…”

Section: Discussionmentioning

confidence: 99%

“…1 in lattice regularization, while for the remaining (QED) parts, we use continuum, Euclidean position-space perturbation theory in infinite volume [11,12]. In this way, we avoid having powerlaw corrections in the volume on a HLbL µ .…”

Section: Introductionmentioning

confidence: 99%

Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice

Asmussen¹,

Green²,

Meyer³

et al. 2016

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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The anomalous magnetic moment of the muon currently exhibits a discrepancy of about three standard deviations between the experimental value and recent Standard Model predictions. The theoretical uncertainty is dominated by the hadronic vacuum polarization and the hadronic lightby-light (HLbL) scattering contributions, where the latter has so far only been fully evaluated using different models. To pave the way for a lattice calculation of HLbL, we present an expression for the HLbL contribution to g − 2 that involves a multidimensional integral over a position-space QED kernel function in the continuum and a lattice QCD four-point correlator. We describe our semi-analytic calculation of the kernel and test the approach by evaluating the π 0 -pole contribution in the continuum. 34th annual International Symposium on Lattice Field Theory

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Direct calculation of hadronic light-by-light scattering

Cited by 21 publications

References 13 publications

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

A call for new physics: The muon anomalous magnetic moment and lepton flavor violation

The hadronic vacuum polarization contribution to the muon g − 2 from lattice QCD

Position-space approach to hadronic light-by-light scattering in the muon $g-2$ on the lattice

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