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We review the role of two-photon exchange (TPE) in electron-hadron scattering, focusing in particular on hadronic frameworks suitable for describing the low and moderate Q^2 region relevant to most experimental studies. We discuss the…

Nuclear Theory · Physics 2015-05-28 J. Arrington , P. G. Blunden , W. Melnitchouk

The two-photon-exchange (TPE) contribution in $ep\rightarrow ep\pi ^0$ with $W=M_{\Delta}$ and small $Q^2$ is calculated and its corrections to the ratios of electromagnetic transition form factors $R_{EM} = E_{1+}^{(3/2)}/M_{1+}^{(3/2)} $…

Nuclear Theory · Physics 2017-03-08 Hai-Qing Zhou , Shin Nan Yang

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set,…

Nuclear Theory · Physics 2017-02-01 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

We present new precision measurements of the elastic electron-proton scattering cross section for momentum transfer (Q$^2$) up to 15.75~\gevsq. Combined with existing data, these provide an improved extraction of the proton magnetic form…

Nuclear Experiment · Physics 2022-03-24 M. E. Christy , T. Gautam , L. Ou , B. Schmookler , Y. Wang , D. Adikaram , Z. Ahmed , H. Albataineh , S. F. Ali , B. Aljawrneh , K. Allada , S. L. Allison , S. Alsalmi , D. Androic , K. Aniol , J. Annand , J. Arrington , H. Atac , T. Averett , C. Ayerbe Gayoso , X. Bai , J. Bane , S. Barcus , K. Bartlett , V. Bellini , R. Beminiwattha , J. Bericic , H. Bhatt , D. Bhetuwal , D. Biswas , E. Brash , D. Bulumulla , C. M. Camacho , J. Campbell , A. Camsonne , M. Carmignotto , J. Castellanos , C. Chen , J-P. Chen , T. Chetry , E. Cisbani , B. Clary , E. Cohen , N. Compton , J. C. Cornejo , S. Covrig Dusa , B. Crowe , S. Danagoulian , T. Danley , W. Deconinck , M. Defurne , C. Desnault , D. Di , M. Dlamini , M. Duer , B. Duran , R. Ent , C. Fanelli , E. Fuchey , C. Gal , D. Gaskell , F. Georges , S. Gilad , O. Glamazdin , K. Gnanvo , A. V. Gramolin , V. M. Gray , C. Gu , A. Habarakada , T. Hague , G. Hamad , D. Hamilton , K. Hamilton , O. Hansen , F. Hauenstein , A. V. Hernandez , W. Henry , D. W. Higinbotham , T. Holmstrom , T. Horn , Y. Huang , G. M. Huber , C. Hyde , H. Ibrahim , N. Israel , C-M. Jen , K. Jin , M. Jones , A. Kabir , B. Karki , C. Keppel , V. Khachatryan , P. M. King , S. Li , W. Li , H. Liu , J. Liu , A. H. Liyanage , D. Mack , J. Magee , S. Malace , J. Mammei , P. Markowitz , S. Mayilyan , E. McClellan , F. Meddi , D. Meekins , K. Mesick , R. Michaels , A. Mkrtchyan , B. Moffit , R. Montgomery , L. S. Myers , P. Nadel-Turonski , S. J. Nazeer , V. Nelyubin , D. Nguyen , N. Nuruzzaman , M. Nycz , R. F. Obrecht , K. Ohanyan , C. Palatchi , B. Pandey , K. Park , S. Park , C. Peng , F. D. Persio , R. Pomatsalyuk , E. Pooser , A. J. R. Puckett , V. Punjabi , B. Quinn , S. Rahman , M. N. H. Rashad , S. Riordan , J. Roche , I. Sapkota , A. Sarty , B. Sawatzky , N. H. Saylor , M. H. Shabestari , A. Shahinyan , S. Sirca , G. R. Smith , S. Sooriyaarachchilage , N. Sparveris , R. Spies , A. Stefanko , T. Su , A. Subedi , V. Sulkosky , A. Sun , Y. Tan , L. Thorne , N. Ton , F. Tortorici , R. Trotta , R. Uniyal , G. M. Urciuoli , E. Voutier , B. Waidyawansa , B. Wojtsekhowski , S. Wood , X. Yan , L. Ye , Z. H. Ye , C. Yero , J. Zhang , Y. X. Zhao , P. Zhu

Corrections of orders alpha^5 and alpha^6 are calculated in the hyperfine splittings of 1S and 2S - energy levels in the ion of muonic helium. The electron vacuum polarization effects, the nuclear structure corrections and recoil…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Martynenko

Leading electroweak corrections play an important role in precision measurements of the strange form factors. We calculate the two-photon-exchange (TPE) and $\gamma Z$-exchange corrections to the parity-violating asymmetry of the elastic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hai Qing Zhou , Chung Wen Kao , Shin Nan Yang

We present an exact analytical evaluation of the two-photon exchange (TPE) correction to the elastic lepton-proton differential scattering cross section at low-energies within the framework of heavy-baryon chiral perturbation theory. Our…

High Energy Physics - Phenomenology · Physics 2026-01-22 Rakshanda Goswami , Pulak Talukdar , Bhoomika Das , Udit Raha , Fred Myhrer

We evaluate the two-photon exchange (TPE) correction to the unpolarized elastic electron-proton scattering at small momentum transfer $ Q^2 $. We account for the inelastic intermediate states approximating the double virtual Compton…

High Energy Physics - Phenomenology · Physics 2016-02-03 O. Tomalak , M. Vanderhaeghen

The largest uncertainty in calculations of hydrogen ground-state hyperfine splitting comes from corrections due to proton stucture. We review these corrections, with special mention of the inelastic, or polarizability, corrections which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carl E. Carlson

The goal of the FAMU experiment at RIKEN RAL is the measure of the hyperfine splitting of the ground state of the muonic hydrogen, to allow a determination of the proton Zemach radius with a precision better than $5 \times 10^{-3}$ . The…

Instrumentation and Detectors · Physics 2020-10-06 M. Bonesini

Two-photon exchange (TPE) is one of the leading explanations for discrepancies in measurements of the proton electromagnetic form factors. It has been proposed that TPE could impact not only elastic scattering, but also the cross sections…

High Energy Physics - Phenomenology · Physics 2026-01-07 Henry T. Klest

One possible explanation for the proton form factor discrepancy is a contribution to the elastic electron-proton cross section from hard two-photon exchange (TPE), a typically neglected radiative correction. Hard TPE cannot be calculated in…

Nuclear Experiment · Physics 2020-04-08 Axel Schmidt

Precision spectroscopy of hyperfine splitting (HFS) is a crucial tool for investigating the structure of nuclei and testing quantum electrodynamics (QED). However, accurate theoretical predictions are hindered by two-photon exchange (TPE)…

Nuclear Theory · Physics 2023-11-23 Chen Ji , Xiang Zhang , Lucas Platter

The proton elastic form factor ratio shows a discrepancy between measurements using the Rosenbluth technique in unpolarized beam and target experiments and measurements using polarization degrees of freedom. The proposed explanation of this…

Nuclear Experiment · Physics 2021-05-12 Jan C. Bernauer , Volker D. Burkert , Ethan Cline , Axel Schmidt , Youri Sharabian

Radiative-recoil corrections to hyperfine splitting in muonium of orders $\alpha(Z\alpha)(m/M)^2E_F$ and $(Z^2\alpha)(Z\alpha)(m/M)^2E_F$ are calculated. These corrections are of the second order in the small electron-muon mass ratio. An…

High Energy Physics - Phenomenology · Physics 2009-08-25 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

Predictions for the two-photon exchange (TPE) correction to unpolarized $ep$ elastic cross section, obtained within two different approaches, are confronted and discussed in detail. In the first one the TPE correction is extracted from…

High Energy Physics - Phenomenology · Physics 2014-01-01 Krzysztof M. Graczyk

We calculate two-photon exchange (TPE) amplitudes for the elastic electron-proton scattering, and take into account intermediate hadronic states containing \pi N system with total angular momentum 1/2 or 3/2, which includes 8 different…

High Energy Physics - Phenomenology · Physics 2015-09-16 Dmitry Borisyuk , Alexander Kobushkin

Two-photon exchange contributions to elastic electron-scattering are reviewed. The apparent discrepancy in the extraction of elastic nucleon form factors between unpolarized Rosenbluth and polarization transfer experiments is discussed, as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carl E. Carlson , Marc Vanderhaeghen

The hyperfine splitting in hydrogenlike $^{209}$Bi, $^{203}$Tl, and $^{205}$Tl is calculated with the nuclear magnetization determined from experimental data on the hyperfine splitting in the corresponding muonic atoms. The single-particle…

Atomic Physics · Physics 2007-05-23 A. A. Elizarov , V. M. Shabaev , N. S. Oreshkina , I. I. Tupitsyn

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the 2S state in the muonic hydrogen. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. P. Martynenko