Tenth-order QED contribution to lepton anomalous magnetic moment: Fourth-order vertices containing sixth-order vacuum-polarization subdiagrams

Aoyama, T.; Hayakawa, Masashi; Kinoshita, T.; Nio, Makiko

doi:10.1103/physrevd.83.053002

Cited by 32 publications

(14 citation statements)

References 44 publications

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“…Due to their higher sensitivity to individual parameters, however, precision measurements in other branches of physics offer more precise values for some of them: The fine structure constant can be extracted with an uncertainty of 3.7 parts in 10 10 from the measurement of the free electron g-factor [18] and the corresponding QED expression [19]. This value is in agreement and three orders of magnitude more accurate than the value from hydrogen spectroscopy (see Ref.…”

Section: Introductionsupporting

confidence: 68%

The Rydberg constant and proton size from atomic hydrogen

Beyer

Maisenbacher

Matveev

et al. 2017

Science

374

427

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ZusammenfassungDas Wasserstoffatom (H) stellt ein einzigartiges System für Tests der Quanten-Elektrodynamik dar. Aufgrund seiner einfachen Struktur und genauen theoretischen Beschreibung liefert es außerdem wichtige Daten für die Bestimmung der RydbergKonstante R ∞ und des Proton-Ladungsradius r p im Rahmen der globalen Anpassung fundamentaler Konstanten durch das Committee on Data for Science and Technology (CODATA). Im Jahre 2010 kam das sogenannte "proton size puzzle" auf, eine Diskrepanz von sieben Standardabweichungen zwischen CODATA und dem zehn mal genauer gemessenen Wert von r p in myonischem Wasserstoff (µ -p, [1, 2] AbstractThe hydrogen atom (H) is a unique system for tests of quantum electrodynamics (QED). Due to its simplicity and accurate theoretical description, it also provides key input data for the determination of the Rydberg constant R ∞ and the proton root mean square (r.m.s.) charge radius r p in the global adjustment of fundamental constants [4] by the Committee on Data for Science and Technology (CODATA). In the year 2010, the "proton size puzzle" emerged, which refers to a discrepancy of seven standard deviations between CODATA and a ten times more accurate measurement of r p in muonic hydrogen (µ -p, [1, 2]). Proposed solutions for this puzzle cover a wide range of scenarios, up to physics beyond the standard model [3]. This thesis reports on a novel scheme for high resolution spectroscopy of dipole allowed 2S -nP transitions in H, using a cryogenic beam of H atoms that are prepared in the meta-stable 2S F =0 1/2 state by state selective optical excitation. Such measurements can be used for a new determination of R ∞ and r p from H spectroscopy, shedding new light on the "proton size puzzle". The scheme has been applied to spectroscopy of the 2S-4P transition first, yielding: These values are as accurate as the ones determined from the aggregate world data of precision H spectroscopy (15 measurements) that enter the CODATA adjustment. While a discrepancy of 3.8 combined standard deviations is found to the latter, the presented results agree with the measurements in µ -p. The 2S-4P experiment is essentially unaffected by the systematic effects dominating the uncertainties in the previous most precise determinations of R ∞ using dipole forbidden two photon transitions in H. Instead, the main systematic effects are the first order Doppler effect, canceled by the use of an active fiber-based retroreflector (AFR) developed in this thesis, and line shape distortions due to quantum interference (QI) of neighboring atomic resonances. The latter effect has come to the attention of the precision spectroscopy community only recently [8,9]. Apparent QI line shifts have been studied experimentally, yielding the first direct observation in precision spectroscopy of largely separated atomic resonances. The observed shifts of up to ± 51 kHz are six times larger than the proton size discrepancy for the 2S-4P transition. They are brought under control by a suitable line shape model function, derived and...

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Section: Introductionsupporting

confidence: 68%

The Rydberg constant and proton size from atomic hydrogen

Beyer

Maisenbacher

Matveev

et al. 2017

Science

374

427

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“…Very recently, Kinoshita and his collaborators completed the heroic calculation of the 12672 five-loop diagrams contributing to the tenth-order coefficient A (10) 1 [33,[35][36][37][38][39][40][41][42][43][44][45][46]. Their result is A (10) 1 = 9.16 (58).…”

Section: Jhep11(2012)113mentioning

confidence: 99%

Testing new physics with the electron g − 2

Giudice

Paradisi

Passera

2012

J. High Energ. Phys.

221

230

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We argue that the anomalous magnetic moment of the electron (a e ) can be used to probe new physics. We show that the present bound on new-physics contributions to a e is 8 × 10 −13 , but the sensitivity can be improved by about an order of magnitude with new measurements of a e and more refined determinations of α in atomic-physics experiments. Tests on new-physics effects in a e can play a crucial role in the interpretation of the observed discrepancy in the anomalous magnetic moment of the muon (a µ ). In a large class of models, new contributions to magnetic moments scale with the square of lepton masses and thus the anomaly in a µ suggests a new-physics effect in a e of (0.7±0.2)×10 −13 . We also present examples of new-physics theories in which this scaling is violated and larger effects in a e are expected. In such models the value of a e is correlated with specific predictions for processes with violation of lepton number or lepton universality, and with the electric dipole moment of the electron.

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“…2 ðm e =m μ Þ has been evaluated numerically [16][17][18][19][20][21][22][23][24][25]. Some of the tenth-order diagrams have been independently calculated and checked [26].…”

Section: Introductionmentioning

confidence: 99%

Revised and improved value of the QED tenth-order electron anomalous magnetic moment

2018

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In order to improve the theoretical prediction of the electron anomalous magnetic moment a e we have carried out a new numerical evaluation of the 389 integrals of Set V, which represent 6,354 Feynman vertex diagrams without lepton loops. During this work, we found that one of the integrals, called X024, was given a wrong value in the previous calculation due to an incorrect assignment of integration variables. The correction of this error causes a shift of −1.26 to the Set V contribution, and hence to the tenth-order universal (i.e., mass-independent) term A1 . The previous evaluation of all other 388 integrals is free from errors and consistent with the new evaluation. Combining the new and the old (excluding X024) calculations statistically, we obtain 7.606ð192Þðα=πÞ 5 as the best estimate of the Set V contribution. Including the contribution of the diagrams with fermion loops, the improved tenth-order universal term becomes A ð10Þ 1 ¼ 6.675ð192Þ. Adding hadronic and electroweak contributions leads to the theoretical prediction a e ðtheoryÞ ¼ 1159652182.032ð720Þ × 10 −12 . From this and the best measurement of a e , we obtain the inverse fine-structure constant α −1 ða e Þ ¼ 137.0359991491ð331Þ. The theoretical prediction of the muon anomalous magnetic moment is also affected by the update of QED contribution and the new value of α, but the shift is much smaller than the theoretical uncertainty.

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Tenth-order QED contribution to lepton anomalous magnetic moment: Fourth-order vertices containing sixth-order vacuum-polarization subdiagrams

Abstract: This paper reports the tenth-order contributions to the g − 2 of the electron a e and those of the muon a µ from the gauge-invariant Set II(c), which consists of 36 Feynman diagrams,

Cited by 32 publications

References 44 publications

The Rydberg constant and proton size from atomic hydrogen

The Rydberg constant and proton size from atomic hydrogen

Testing new physics with the electron g − 2

Revised and improved value of the QED tenth-order electron anomalous magnetic moment

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