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We obtain a model-independent prediction for the two-photon exchange contribution to the hyperfine splitting in muonic hydrogen. We use the relation of the Wilson coefficients of the spin-dependent dimension-six four-fermion operator of…

Nuclear Theory · Physics 2017-05-24 Clara Peset , Antonio Pineda

We compute the spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at one loop using heavy baryon chiral perturbation theory and dispersion relations. We study the relation between both…

High Energy Physics - Phenomenology · Physics 2008-11-26 David Nevado , Antonio Pineda

We calculate the amplitude T_1 for forward doubly-virtual Compton scattering in heavy-baryon chiral perturbation theory, to fourth order in the chiral expansion and with the leading contribution of the gammaNDelta form factor. This provides…

High Energy Physics - Phenomenology · Physics 2012-12-12 Michael C. Birse , Judith A. McGovern

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

Based on the simple phenomenological $\sigma \pi \pi$, $\sigma N N$ and $\pi \pi \gamma$ interactions, we estimate the $\sigma$ exchange effect in the Lamb shift of muonic hydrogen. We at first calculate the effective couplings of…

Nuclear Theory · Physics 2016-08-24 Hai-Qing Zhou

In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. C. Tiburzi

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

The nucleon spin-averaged forward virtual Compton tensor determines important physical quantities such as electromagnetically-induced mass differences of nucleons, and two-photon exchange contributions in hydrogen spectroscopy. It depends…

High Energy Physics - Phenomenology · Physics 2017-08-01 Richard J. Hill , Gil Paz

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

Proton structure effects in hydrogenic bound states are analyzed using nonrelativistic QED effective field theory. Implications for the Lamb shift in muonic hydrogen are discussed. Model-dependent assumptions in previous analyses are…

High Energy Physics - Phenomenology · Physics 2013-05-29 Richard J. Hill , Gil Paz

A simple model of a composite nucleon is developed in which a fermion and a boson, representing quark and diquark constituents of the nucleon, form a bound state owing to a contact interaction. Photon and pion couplings to the quark provide…

Nuclear Theory · Physics 2008-11-26 J. A. Tjon , S. J. Wallace

We use heavy baryon chiral perturbation theory to evaluate the two-photon exchange corrections to the low-energy elastic lepton-proton scattering at next-to-leading order accuracy, i.e., ${\mathcal O}(\alpha, M^{-1})$, including a non-zero…

Nuclear Theory · Physics 2020-02-05 Pulak Talukdar , Vanamali C. Shastry , Udit Raha , Fred Myhrer

The leading order contributions of processes involving anomalous pion-photon vertices to forward spin-dependent Compton scattering from nucleons are considered in heavy-baryon chiral perturbation theory. These all involve the exchange of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Judith A. McGovern , Michael C. Birse

We study the hydrogen and muonic hydrogen within an effective field theory framework. We perform the matching between heavy baryon effective theory coupled to photons and leptons and the relevant effective field theory at atomic scales.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Antonio Pineda

The electromagnetic excitation of the $\Delta(1232)$-resonance plays an appreciable role in the Lamb shift and hyperfine structure of muonic and electronic hydrogen. Its effect appears at the subleading order $\mathcal{O}(\alpha^5)$,…

Nuclear Theory · Physics 2018-07-04 Franziska Hagelstein

We assess the two-photon exchange contribution to the Lamb shift in muonic hydrogen with forward dispersion relations. The subtraction constant $\bar T(0,Q^2)$ that is necessary for a dispersive evaluation of the forward doubly-virtual…

Nuclear Theory · Physics 2015-06-15 Mikhail Gorchtein , Felipe J. Llanes-Estrada , Adam P. Szczepaniak

Various theories beyond the Standard Model predict new particles with masses in the sub-eV range with very weak couplings to ordinary matter which can possess spin-dependent couplings to electrons and nucleons. Present laboratory…

High Energy Physics - Phenomenology · Physics 2017-06-14 S. Aldaihan , D. E. Krause , J. C. Long , W. M. Snow

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

Nuclear Theory · Physics 2015-06-11 Gerald A. Miller

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

We obtain a model independent expression for the muonic hydrogen Lamb shift up to $\mathcal O (m_\mu \alpha^6, m_\mu \alpha^5 \frac{m_\mu^2}{m_\rho^2})$. The hadronic effects are controlled by the chiral theory, which allows for their model…

High Energy Physics - Phenomenology · Physics 2014-11-17 Clara Peset
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