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In view of the future plans to measure the Lamb shift in muonic Lithium atoms we address the microscopic theory of the $\mu$-$^6$Li$^{2+}$ and $\mu$-$^7$Li$^{2+}$ systems. The goal of the CREMA collaboration is to measure the Lamb shift to…

Nuclear Theory · Physics 2019-12-17 S. Li Muli , A. Poggialini , S. Bacca

We compute three-loop vertex corrections to $b\to s\gamma$ induced by current-current operators. The results are presented as expansions in $m_c/m_b$ with numerical coefficients which allow to cover all relevant values for the heavy quark…

High Energy Physics - Phenomenology · Physics 2023-12-11 Matteo Fael , Fabian Lange , Kay Schoenwald , Matthias Steinhauser

Effective potentials of the relativistic m\alpha^6 order correction for the ground state of the Coulomb two-center problem are calculated. They can be used to evaluate the relativistic contribution of that order to the energies of hydrogen…

Atomic Physics · Physics 2007-11-26 V. I. Korobov , Ts. Tsogbayar

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

High Energy Physics - Phenomenology · Physics 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

The relativistic nuclear recoil corrections to the energy levels of low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations are carried out using the B-spline method…

Quantum Physics · Physics 2009-10-28 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin

We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

General Relativity and Quantum Cosmology · Physics 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

Recently, Lipowski [cond-mat/0002378] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states. Since the transition is accompanied by an apparent power-law…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

A complete evaluation of the two-loop self-energy diagrams to all orders in Z\alpha is presented for the ground state of H-like ions with Z\ge 40.

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

The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions…

Atomic Physics · Physics 2010-05-19 Vladimir A. Yerokhin

The proton polarizability correction to the Lamb shift of electronic and muonic hydrogen is calculated on the basis of isobar model and experimental data on the structure functions of deep inelastic lepton-nucleon scattering. The…

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

The proton-polarizability contribution to the muonic-hydrogen Lamb shift is a major source of theoretical uncertainty in the extraction of the proton charge radius. An empirical evaluation of this effect, based on the proton structure…

High Energy Physics - Phenomenology · Physics 2021-10-11 Franziska Hagelstein , Vladimir Pascalutsa

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

The contribution of hadronic vacuum polarization to the Lamb shift in muonic hydrogen is evaluated with the account of modern experimental data on the cross section of $e^+e^-$ annihilation into hadrons. The numerical value of this…

High Energy Physics - Phenomenology · Physics 2011-04-15 R. N. Faustov , A. P. Martynenko

We rederive the $O(\alpha^5)$ shift of the hydrogen levels in the non-recoil ($m_e/m_P \to 0$) limit using Nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage (Phys. Lett. 167B, 437 (1986)). Our result…

High Energy Physics - Phenomenology · Physics 2016-09-06 Patrick Labelle , S. Mohammad Zebarjad

The next-to-leading order black-body radiation(BBR) shift to atomic energy-levels, namely $ (Z\alpha)^2\alpha T^2/m $ correction, was studied by using the nonrelativistic quantum electrodynamics(NRQED). We also estimate the one-loop…

Atomic Physics · Physics 2016-05-10 Wanping Zhou , Xuesong Mei , Jingjun Lu , Haoxue Qiao

We sum the leading logarithms $\alpha_s^n \ln^{2 n-1}(1-z)$, n=1,2,... near the kinematic threshold $z=m_H^2/\hat{s}\to 1$ at next-to-leading power in the expansion in (1-z) for Higgs production in gluon fusion. We highlight the new…

High Energy Physics - Phenomenology · Physics 2020-02-19 Martin Beneke , Mathias Garny , Sebastian Jaskiewicz , Robert Szafron , Leonardo Vernazza , Jian Wang

The decays $K_L \to \gamma\gamma$ and $K_L \to \ell^+ \ell^- \gamma$ are studied at the leading order $p^6$ in Chiral Perturbation Theory. One-loop contributions stemming from the odd intrinsic parity $|\Delta S| = 1$ effective Lagrangian…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. L. Goity , Longzhe Zhang

The phase diagram of the quantum dimer model on the hexagonal (honeycomb) lattice is computed numerically, extending on earlier work by Moessner, Sondhi, and Chandra. The different ground state phases are studied in detail using several…

Strongly Correlated Electrons · Physics 2017-12-06 Thiago M. Schlittler , Rémy Mosseri , Thomas Barthel

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated in a non--relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the $2S-2P$ Lamb shift…

High Energy Physics - Phenomenology · Physics 2011-08-17 G. Lambiase , G. Papini , G. Scarpetta

Super-leading logarithmic terms have previously been observed in non-global QCD observables. In this paper we re-calculate the first super-leading contribution to the `gaps between jets' cross-section using a diagrammatic fixed order…

High Energy Physics - Phenomenology · Physics 2010-04-21 James Keates , Michael H. Seymour
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