Muonium hyperfine structure and hadronic effects

Czarnecki, Andrzej; Eidelman, S.; Karshenboim, Savely G.

doi:10.1103/physrevd.65.053004

Cited by 44 publications

(53 citation statements)

References 68 publications

(109 reference statements)

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“…Here we report that we have reproduced the numerical results obtained in [4] with their values of the relevant fundamental constants without correlations, and failed to reproduce it exactly when using CODATA recommended values with correlations. Just for the illustration we quote the result for the lowest order term calculated by ErrorPropagator…”

Section: The Muonium Hyperfine Splitting (Hfs)supporting

confidence: 52%

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The Development of the Mathematica Package 'StandardPhysicalConstants'

Ежела¹,

Larin²

2003

Challenging the Boundaries of Symbolic Computation

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Here we report on the further development of the 'StandardPhysicalConstants' package which was presented for the first time at the last IMS 2001 conference. We would like to dwell on the following issues: the package structure; current status of the physical constant database; data sourses, current data collection and data structure; the main modules of data management system; the first version of "error propagator"; usage examples of one in calculations for high precision tests of physics theories. The outlook of the future development of the package is also given. Мы сообщаем о модернизации пакета 'StandardPhysicalConstants', который впервые был представлен на конференции IMS 2001. Описаны структура пакета; текущее состояние базы данных физических постоянных; текущие источники данных, их сбор и струк-тура; основные модули системы управления; первая версия модуля "error propagator"; примеры его использования для высокоточной проверки теоретических параметриза-ций физических наблюдаемых. Обсуждаются также перспективы дальнейшего разви-тия пакета.

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Section: The Muonium Hyperfine Splitting (Hfs)supporting

confidence: 52%

“…For the checkout we decided to reproduce some recent calculations [4] of the hyperfine muonium splitting (HFS) and present here only the result for the lowest order (in fine structure constant) term.…”

Section: Examples Of the Errorpropagator Applicationsmentioning

confidence: 99%

The Development of the Mathematica Package 'StandardPhysicalConstants'

Ежела¹,

Larin²

2003

Challenging the Boundaries of Symbolic Computation

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“…The muon and electron polarization operator contributions and other corrections collected in Eq. (13), together with the results of comparable magnitude in [14,15,16,17,18,19] constitute a next step toward achievement of this goal. Phenomenologically, the improved accuracy of the theory of hyperfine splitting would lead to a reduction of the uncertainty of the value of the electron-muon mass ratio derived from the experimental data [1] on hyperfine splitting (see, e.g., reviews in [3,4,13]).…”

Section: Fig 9: Muon Line and Electron Vacuum Polarizationmentioning

confidence: 99%

Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops

Eides

Shelyuto

2009

Phys. Rev. Lett.

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We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium generated by the diagrams with electron and muon vacuum polarizations. We calculate single-logarithmic and nonlogarithmic contributions of order α 3 (m/M )E F generated by gauge invariant sets of diagrams with electron and muon polarization insertions in the electron and muon factors. Combining these corrections with the older results we obtain total contribution to hyperfine splitting generated by all diagrams with electron and muon polarization loops. Calculation of this contribution completes an important stage in the implementation of the program of reduction of the theoretical uncertainty of hyperfine splitting below 10 Hz. The new results improve the theory of hyperfine splitting, and affect the value of the electron-muon mass ratio extracted from experimental data on the muonium hyperfine splitting.Typeset by REVT E X 1 arXiv:0907.1923v2 [hep-ph]

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“…The calculations 13 have been adjusted to α −1 = 137.035 998 76(52) 14 and µµ/µp = 3.183 345 17 (36) …”

Section: Hyperfine Structure In Bound State Qedmentioning

confidence: 99%

Precision Study of Positronium: Testing Bound State Qed Theory

Karshenboim

2004

Int. J. Mod. Phys. A

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119

109

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As an unstable light pure leptonic system, positronium is a very specific probe atom to test bound state QED. In contrast to ordinary QED for free leptons, the bound state QED theory is not so well understood and bound state approaches deserve highly accurate tests. We present a brief overview of precision studies of positronium paying special attention to uncertainties of theory as well as comparison of theory and experiment. We also consider in detail advantages and disadvantages of positronium tests compared to other QED experiments.

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Muonium hyperfine structure and hadronic effects

Abstract: A new result for the hadronic vacuum polarization correction to the muonium hyperfine splitting (HFS) is presented: ∆ν(had -vp) = (0.233 ± 0.003) kHz.

Cited by 44 publications

References 68 publications

The Development of the Mathematica Package 'StandardPhysicalConstants'

The Development of the Mathematica Package 'StandardPhysicalConstants'

Three-Loop Radiative-Recoil Corrections to Hyperfine Splitting in Muonium: Diagrams with Polarization Loops

Precision Study of Positronium: Testing Bound State Qed Theory

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