Evaluation of hadronic vacuum polarization contribution to muonium hyperfine splitting

Фаустов, Р. Н.; Karimkhodzhaev, A.; Martynenko, A. P.

doi:10.1103/physreva.59.2498

Cited by 36 publications

(23 citation statements)

References 20 publications

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“…The hadron continuum was parameterized with a function R(s) = As B in five energy ranges below 47 GeV and above this energy the asymptotic QCD formula with six quarks was used. Finally, in the recent work [18] the authors used a similar approach with a slightly more sophisticated parameterization of the hadron continuum in seven energy ranges below 60 GeV. Unfortunately, the authors of the above mentioned papers ignore the model dependence of their results which can be fairly strong and the error of their calculations only reflects the quality of the fit in their rather artificial models describing the data.…”

Section: Comparison With Other Calculationsmentioning

confidence: 99%

Muonium hyperfine structure and hadronic effects

2002

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Section: Comparison With Other Calculationsmentioning

confidence: 99%

Muonium hyperfine structure and hadronic effects

2002

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“…The present value of the proton polarizability correction, calculated on the ground of experimental data on the polarized structure function [9], is 1.6 ± 0.6 ppm. The hadron vacuum polarization correction δ hvp ∼ 10 −8 [17] is much too small. The overall uncertainty of ∆E HFS th is therefore of the order of 2-3 ppm and is entirely due to proton structure effects.…”

Section: Hyperfine Splitting Of Hydrogen Atom Ground Statementioning

confidence: 99%

Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen

et al. 2003

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While measurements of the hyperfine structure of hydrogen-like atoms are traditionally regarded as test of bound-state QED, we assume that theoretical QED predictions are accurate and discuss the information about the electromagnetic structure of protons that could be extracted from the experimental values of the ground state hyperfine splitting in hydrogen and muonic hydrogen.Using recent theoretical results on the proton polarizability effects and the experimental hydrogen hyperfine splitting we obtain for the Zemach radius of the proton the value 1.040(16) fm. We compare it to the various theoretical estimates the uncertainty of which is shown to be larger that 0.016 fm. This point of view gives quite convincing arguments in support of projects to measure the hyperfine splitting of muonic hydrogen.

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“…Polarization contributions due to the loops of pions and other hadrons cannot be calculated with the help of the QCD perturbation theory, and the best approach for their evaluation is to use some low energy effective theory and experimental data. Respective calculations were performed in [240,274,274] and currently the most accurate result for the hadron polarization operator contribution to HFS is [275] ∆E = 3.598 8 (104 5) α The leading contribution of order α 2 (Zα)(m/M) E F is enhanced by the cube of the large logarithm of the electron-muon mass ratio. One could expect that logarithm cube terms would be generated by a few types of radiative insertions in the skeleton graphs with two exchanged photons: insertions of the first and second order polarization operators in the exchanged photons in Fig.…”

Section: Heavy Particle Polarization Contributions Of Order α(Zα) E Fmentioning

confidence: 99%

Theory of light hydrogenlike atoms

2001

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The present status and recent developments in the theory of light hydrogenic atoms, electronic and muonic, are extensively reviewed. The discussion is based on the quantum field theoretical approach to loosely bound composite systems. The basics of the quantum field theoretical approach, which provide the framework needed for a systematic derivation of all higher order corrections to the energy levels, are briefly discussed. The main physical ideas behind the derivation of all binding, recoil, radiative, radiative-recoil, and nonelectromagnetic spin-dependent and spin-independent corrections to energy levels of hydrogenic atoms are discussed and, wherever possible, the fundamental elements of the derivations of these corrections are provided. The emphasis is on new theoretical results which were not available in earlier reviews. An up-to-date set of all theoretical contributions to the energy levels is contained in the paper. The status of modern theory is tested by comparing the theoretical results for the energy levels with the most precise experimental results for the Lamb shifts and gross structure intervals in hydrogen, deuterium, and helium ion He + , and with the experimental data on the hyperfine splitting in muonium, hydrogen and deuterium. *

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Evaluation of hadronic vacuum polarization contribution to muonium hyperfine splitting

Abstract: The contribution of hadronic vacuum polarization (HVP) to the hyperfine splitting of the muonium ground state is evaluated with the account of modern experimental data on the cross section of e + e − → annihilation into hadrons.

Cited by 36 publications

References 20 publications

Muonium hyperfine structure and hadronic effects

Muonium hyperfine structure and hadronic effects

Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen

Theory of light hydrogenlike atoms

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