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New corrections to the energy of $S$-levels of positronium of order $m\alpha^6$ which are as large as several hundred kilohertz are obtained. A new recoil correction of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael I. Eides , Howard Grotch

The energy levels of the $n=1$ and $n=2$ bound states of the $\mu^+\mu^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $\alpha^5$ supplemented by the known…

High Energy Physics - Phenomenology · Physics 2025-05-09 Wayne W. Repko

Contribution of order \alpha^2 (Z \alpha)^6 \ln^3(Z \alpha)^{-2} to the ground-state Lamb shift in hydrogen induced by the loop-after-loop diagram is evaluated analytically. An additional contribution of this order is found compared to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vladimir A. Yerokhin

This is the first of a series of papers on a systematic application of the NRQED bound state theory of Caswell and Lepage to higher-order radiative corrections to the hyperfine structure of the muonium ground state. This paper describes the…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Kinoshita , M. Nio

Measuring the 2S-2P Lamb shift in a hydrogen-like muonic atom allows one to extract its nuclear charge radius with a high precision that is limited by the uncertainty in the nuclear structure corrections. The charge radius of the proton…

Nuclear Theory · Physics 2016-05-03 N. Nevo Dinur , C. Ji , S. Bacca , N. Barnea

Following updates in the compilation of $e^+e^-\rightarrow{\rm hadrons}$ data, this work presents re-evaluations of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the electron ($a_e$), muon ($a_\mu$) and…

High Energy Physics - Phenomenology · Physics 2020-02-05 Alexander Keshavarzi , Daisuke Nomura , Thomas Teubner

In [Li ${\it et \, al.}$, Phys. Rev. A ${\bf 98}$, 020502(R) (2018)] it was claimed that the model-potential computations of the Lamb shift on the $^2P_{1/2}-{}^2P_{3/2}$ fine structure in fluorinelike uranium lead to a discrepancy between…

The present knowledge of Lamb shift, fine-, and hyperfine structure of the 2S and 2P states in muonic helium-3 ions is reviewed in anticipation of the results of a first measurement of several $\mathrm{2S\rightarrow2P}$ transition…

The two-loop self-energy correction is evaluated to all orders in Z alpha for the ground-state Lamb shift of H-like ions with Z >= 20, where Z is the nuclear charge number and alpha is the fine structure constant. The results obtained are…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

We obtain a model-independent expression for the Dalitz plot of semileptonic decays of polarized hyperons including radiative corrections to order alpha and neglecting terms of order (alpha q)/(pi M_1), where q is the four-momentum transfer…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Martinez , J. J. Torres , R. Flores-Mendieta , A. Garcia

Higher order $(\alpha/\pi)^2 (Z \alpha)^6$ logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical…

Atomic Physics · Physics 2009-11-06 Krzysztof Pachucki

We provide a compendium of techniques that can be used to compute $O(N_f\alpha^2)$ corrections to low-energy electroweak processes. Specifically, these are the 2-loop electroweak corrections containing a light fermion loop. It is shown that…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , Paresh Malde , Robin G. Stuart

Analytical radiative corrections of order (alpha/pi)(q/M) are calculated for the four-body region of the Dalitz plot of baryon semileptonic decays when the s1.l correlation is present. Once the final result is available, it is possible to…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Neri , A. Martinez , A. Garcia , J. J. Torres , Ruben Flores-Mendieta

A model-independent expression for the Dalitz plot of the semileptonic decays of a neutral kaon $K_{\mu 3}^0$, including radiative corrections to order $\mathcal{O}[(\alpha / \pi )(q/M_1)]$, where $q$ is the four-momentum transfer and $M_1$…

High Energy Physics - Phenomenology · Physics 2023-11-10 J. Vieyra , A. Martínez , M. Neri , A. Hernández-Galeana

A hadronic vacuum polarization correction to the photon propagator is found by using the Dubnicka-Meshcheryakov parameterization of the pion electromagnetic form factor and new experimental data on the $e^+e^-$ hadrons annihilation cross…

High Energy Physics - Phenomenology · Physics 2021-12-30 V. P. Gerdt , A. Karimkhodzhaev , R. N. Faustov

The measurement of the Lamb shift in muonic hydrogen and the subsequent emergence of the proton-radius puzzle have motivated an experimental campaign devoted to measuring the Lamb shift in other light muonic atoms, such as muonic deuterium…

Nuclear Theory · Physics 2018-08-29 Chen Ji , Sonia Bacca , Nir Barnea , Oscar Javier Hernandez , Nir Nevo-Dinur

We calculate the rates and lepton (l) invariant mass distributions for decays of the form 0^{-+}->l^+l^-\gamma, which are important radiative corrections to the purely leptonic decays 0^{-+}->l^+l^-. Our approach uses the loop diagrams…

High Energy Physics - Phenomenology · Physics 2009-10-31 Duane A. Dicus , Wayne W. Repko

We have calculated the radiative corrections to the Dalitz plot of baryon semileptonic decays with angular correlation between polarized emitted baryons and charged leptons. This work covers both charged and neutral decaying baryons and is…

High Energy Physics - Phenomenology · Physics 2009-01-09 M. Neri , J. J. Torres , Ruben Flores-Mendieta , A. Martinez , A. Garcia

Several new corrections of order $m\alpha^6$ to the energy levels of $S$ states in helium are obtained from radiative corrections to the Breit potential and from the polarization insertions in the two photon exchange graphs. While…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael I. Eides , Howard Grotch

Hadronic deuteron polarizability correction to the Lamb shift of muonic deuterium is calculated on the basis of unitary isobar model and modern experimental data on the structure functions of deep inelastic lepton-deuteron scattering and…

High Energy Physics - Phenomenology · Physics 2016-06-14 A. V. Eskin , R. N. Faustov , A. P. Martynenko , F. A. Martynenko
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