Results From the Muon G-2 Experiment

Logashenko, I.B.; Carey, Robert M.; Efstathiadis, E.; Hare, M.; Krienen, F.; Miller, J.; Paley, J. M.; Rind, O.; Roberts, B. L.; Sulak, L.; Trofimov, A.; Brown, H.; Bunce, G.; Danby, G. T.; Larsen, Ross E.; LEE, Y. Y.; Meng, W.; Mi, J.; Morse, W.M.; Nikas, D.; Özben, C.; Prigl, R.; Semertzidis, Yannis K.; Warburton, D.; Дружинин, В. П.; Fedotovich, G. V.; Grigoriev, D.N.; Khazin, B. I.; Ryskulov, N.M.; Shatunov, Yu. M.; Solodov, E. P.; Orlov, Y.; Winn, D.; Grossmann, Anne-Christiane; Jungmann, Klaus-Peter; Putlitz, G. zu; Walter, Petra; Debevec, P. T.; Deninger, W.; Gray, F.; Hertzog, D. W.; Onderwater, C. J. G.; Polly, C. C.; Sedykh, S.; Sossong, M.; Urner, D.; Yamamoto, A.; Cushman, P.; Duong, L.; Girón, S.; Kindem, J.; Kronkvist, I.; McNabb, R.; Timmermans, C.; Zimmerman, D.; Iwasaki, M.; Kawamura, Miyuki; Deile, M.; Deng, Hao; Dhawan, S. K.; Farley, F. J. M.; Grosse‐Perdekamp, M.; Hughes, V. W.; Kawall, D.; Pretz, Jean E.; Redin, S. I.; Sichtermann, E. P.; STEINMETZ, A.

doi:10.1142/9789812778192_0001

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“…Efforts are therefore under way to increase the accuracy of both measurements and theoretical predictions. To address the former two new experiments have been planned, E989 at Fermilab [5] and E34 at J-PARC [6]. The Fermilab experiment is expected to lead to first new results in 2019 and the J-PARC experiment is expected to begin in 2020.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic finite-size effects to the hadronic vacuum polarization

et al. 2019

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In order to reduce the current hadronic uncertainties in the theory prediction for the anomalous magnetic moment of the muon, lattice calculations need to reach sub-percent accuracy on the hadronic-vacuum-polarization contribution. This requires the inclusion of O(α) electromagnetic corrections. The inclusion of electromagnetic interactions in lattice simulations is known to generate potentially large finite-size effects suppressed only by powers of the inverse spatial extent. In this paper we derive an analytic expression for the QED L finite-volume corrections to the two-pion contribution to the hadronic vacuum polarization at next-to-leading order in the electromagnetic coupling in scalar QED. The leading term is found to be of order 1/L 3 where L is the spatial extent. A 1/L 2 term is absent since the current is neutral and a photon far away thus sees no charge and we show that this result is universal. Our analytical results agree with results from the numerical evaluation of loop integrals as well as simulations of lattice scalar U (1) gauge theory with stochastically generated photon fields. In the latter case the agreement is up to exponentially suppressed finite-volume effects. For completeness we also calculate the hadronic vacuum polarization in infinite volume using a basis of 2-loop master integrals.

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Section: Introductionmentioning

confidence: 99%