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We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium due to insertions of one-loop polarization operator in the electron factor. The contribution generated by electron polarization insertions is a cubic…

High Energy Physics - Phenomenology · Physics 2011-05-12 Michael I. Eides , Valery A. Shelyuto

We present a study of the two-photon-exchange ($2\gamma$-exchange) corrections to the $S$-levels in muonic ($\mu$D) and ordinary (D) deuterium within the pionless effective field theory (pionless EFT). Our calculation proceeds up to…

Nuclear Theory · Physics 2022-11-17 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa

We evaluate the two-photon exchange corrections to the Lamb shift and hyperfine splitting of S states in electronic hydrogen relying on modern experimental data and present the two-photon exchange on a neutron inside the electronic and…

High Energy Physics - Phenomenology · Physics 2019-05-22 Oleksandr Tomalak

We investigate restrictions on the hadronic contribution to the muon $(g-2)$ factor and to the pion electromagnetic formfactor from the analytical properties of the pion formfactor and the experimental data of the pion formfactor in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. V. Geshkenbein

We construct a nonlocal gauge invariant Lagrangian to model the electromagnetic interaction of proton. The Lagrangian includes all allowed operators with dimension up to five. We compute the two photon exchange contribution to elastic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pankaj Jain , Satish D. Joglekar , Subhadip Mitra

We consider the two-photon exchange contribution to the $2P-2S$ Lamb shift in muonic deuterium in the framework of forward dispersion relations. The dispersion integrals are evaluated using experimental data on elastic deuteron form factors…

Nuclear Theory · Physics 2014-02-05 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

We consider three-loop radiative-recoil corrections to hyperfine splitting in muonium. These corrections are enhanced by the large logarithm of the electron-muon mass ratio. The leading logarithm cubed and logarithm squared contributions…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The comparison of positron-proton and electron-proton elastic scattering cross sections is a sensitive test for the presence of two-photon exchange contributions. Thirty years ago, positron data were considered adequate to set tight limits…

Nuclear Experiment · Physics 2009-11-10 J. Arrington

We estimate two-photon exchange contribution to the process $e^+ +e^- \to p + \bar{p}$. The two-photon exchange corrections to double spin polarization observables and form factors in the time-like region are calculated. The corrections are…

Nuclear Theory · Physics 2008-11-26 D. Y. Chen , H. Q. Zhou , Y. B. Dong

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…

High Energy Physics - Phenomenology · Physics 2010-01-26 Michael I. Eides , Valery A. Shelyuto

We derive a new relation between the observed Lamb shift energies of hydrogen and muonium atoms. The relation is based on the non-relativistic description of the Lamb shift, and the proper treatment of the reduced mass of electron and…

We systematically calculate the radiative corrections of order $\alpha/\pi$ to elastic muon-proton scattering at low momentum transfers. These include vacuum polarization, photon-loop form factors of the muon and the proton, two-photon…

High Energy Physics - Phenomenology · Physics 2022-04-20 Norbert Kaiser , Yong-Hui Lin , Ulf-G. Meißner

Contributions to HFS and to the Lamb shift intervals of order $\alpha^2(Z\alpha)^5$ induced by graphs with two radiative photons inserted in the electron line are considered. It is demonstrated that this last gauge invariant set of diagrams…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Savely G. Karshenboim , Valery A. Shelyuto

A hard three-loop correction to parapositronium energy levels of order $m\alpha^7$ is calculated. This nonlogarithmic contribution is due to the insertions of one-loop photon propagator in the fermion lines in the diagrams with virtual…

High Energy Physics - Phenomenology · Physics 2017-07-19 Michael I. Eides , Valery A. Shelyuto

Two-loop contributions to the electromagnetic form factors are calculated in the kinematic regime close to the fermion-antifermion threshold. The results are presented in an expansion in the velocity $\beta$ of the fermions in the c.m.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. H. Hoang

The contribution of hadronic scattering of light-by-light to the hyperfine structure of muonium is calculated using experimental data on the transition form factors of two photons into a hadron. The amplitudes of interaction between a muon…

High Energy Physics - Phenomenology · Physics 2023-11-21 V. I. Korobov , A. V. Eskin , A. P. Martynenko , F. A. Martynenko

In the framework of the quasipotential method we calculate the contributions of the kind \alpha^6\ln\alpha, alpha^6 of three-photon exchange diagrams to the energy spectrum of muonium $n^3S_1$ state in the leading order on $m_e/m_\mu$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. N. Faustov , A. P. Martynenko

We use the world's data on elastic electron--proton scattering and calculations of two-photon exchange effects to extract corrected values of the proton's electric and magnetic form factors over the full Q^2 range of the existing data. Our…

Nuclear Experiment · Physics 2008-11-26 J. Arrington , W. Melnitchouk , J. A. Tjon

We study the vacuum radiative corrections to energy levels of a confined electron in quantum rings. The calculations are provided for the Lamb shift of energy levels in low-momentum region of virtual photons and for both one-dimensional and…

Quantum Physics · Physics 2015-01-07 G. Yu. Kryuchkyan , O. Kyriienko , I. A. Shelykh

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory. We use these results to compute the two-photon polarizability contribution to…

Nuclear Theory · Physics 2020-09-18 Samuel B. Emmons , Chen Ji , Lucas Platter