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The rate for the fusion process $p + p \ra d + e^+ + \nu_e$ is calculated using non-relativistic effective field theory. Including the four-nucleon derivative interaction, results are obtained in next-to-leading order in the momentum…

Nuclear Theory · Physics 2009-11-06 Xinwei Kong , Finn Ravndal

By neglecting the relative quark momenta in the propagator term, the two-photon and two-gluon decay amplitude of heavy quarkonia states can be written as a local heavy quark field operator matrix element which could be obtained from other…

High Energy Physics - Phenomenology · Physics 2011-02-01 T. N. Pham

The couplings of Higgs particles to two photons are analyzed in the threshold region, where the Higgs mass is about twice the loop--particle mass leading to possible bound state formation. The amplitude of the pseudoscalar decay $A\to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kirill Melnikov , Michael Spira , Oleg Yakovlev

Contrary to what was previously believed, two-loop radiative corrections to the $g$-factor of an electron bound in a hydrogen-like ion at $\mathcal{O}\left(\alpha^2 (Z\alpha)^5\right)$ exhibit logarithmic enhancement. This previously…

High Energy Physics - Phenomenology · Physics 2020-11-18 Andrzej Czarnecki , Jan Piclum , Robert Szafron

Calculations of the two-loop electron self-energy for the $1S$ Lamb shift are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure…

Atomic Physics · Physics 2025-01-08 V. A. Yerokhin , Z. Harman , C. H. Keitel

Relativistic two-photon decay rates of the $2s_{1/2}$ and $2p_{1/2}$ states towards the $1s_{1/2}$ ground state of hydrogenic atoms are calculated by using numerically exact energies and wave functions obtained from the Dirac equation with…

Atomic Physics · Physics 2018-04-13 Livio Filippin , Michel Godefroid , Daniel Baye

If the observation by OPERA of apparently superluminal neutrinos is correct, the Lagrangian for second-generation leptons must break Lorentz invariance. We calculate the effects of an energy-independent change in the neutrino speed on…

High Energy Physics - Phenomenology · Physics 2011-11-15 Brett Altschul

We compute the master integrals relevant for the two-loop corrections to pseudo-scalar quarkonium and leptonium production and decay. We present both analytic and high-precision numerical results. The analytic expressions are given in terms…

High Energy Physics - Phenomenology · Physics 2022-11-18 Samuel Abreu , Matteo Becchetti , Claude Duhr , Melih A. Ozcelik

The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding…

Atomic Physics · Physics 2018-05-25 V. A. Yerokhin

We present the two-loop ${\cal O}(\alpha_sG_Fm_t^2)$ correction to the $b\bar b$ decay rate of the Stan\-dard-Model Higgs boson, assuming that the $t$ quark is much heavier than the Higgs boson. Apart from the universal correction connected…

High Energy Physics - Phenomenology · Physics 2009-10-28 Bernd A. Kniehl , Michael Spira

We investigate the gauge invariance of the leading logarithmic radiative correction to the two-photon decay width in hydrogenlike atoms. It is shown that an effective treatment of the correction using a Lamb-shift "potential" leads to…

Atomic Physics · Physics 2007-05-23 U. D. Jentschura

We study the decoupling effects in one-loop corrected N=1 supersymmetric theory with gauge neutral chiral superfields, by calculating the one-loop corrected effective Lagrangian that involves light and heavy fields with the mass scale M,…

High Energy Physics - Theory · Physics 2009-09-17 I. L. Buchbinder , M. Cvetic , A. Yu. Petrov

Motivated by the observation of the decay $\bar{B}\to \bar{K}^*\gamma$ by CLEO, we have systematically analyzed the two-body weak radiative decays of bottom and charmed hadrons. There exist two types of weak radiative decays: One proceeds…

High Energy Physics - Phenomenology · Physics 2011-07-19 Hai-Yang Cheng , Chi-Yee Cheung , Guey-Lin Lin , Y. C. Lin , Tung-Mow Yan , Hoi-Lai Yu

Spurred by the recent complete determination of the weak currents in two-nucleon systems up to ${\cal O}(Q^3)$ in heavy-baryon chiral perturbation theory, we carry out a parameter-free calculation of the solar proton fusion rate in an…

Nuclear Theory · Physics 2007-05-23 T. -S. Park , L. E. Marcucci , R. Schiavilla , M. Viviani , A. Kievsky , S. Rosati , K. Kubodera , D. -P. Min , M. Rho

Although one-loop calculations provide a realistic description of bulk and single-particle nuclear properties, it is necessary to examine loop corrections to develop a systematic finite-density power-counting scheme for the nuclear…

Nuclear Theory · Physics 2008-11-26 Ying Hu , Jeff McIntire , Brian D. Serot

When relating the strong coupling $\alpha_s$, measured at the scale of the $Z$ boson mass, to its numerical value at some higher energy, for example the scale of Grand Unification, it is important to include higher order corrections both in…

High Energy Physics - Phenomenology · Physics 2013-05-29 R. Harlander , L. Mihaila , M. Steinhauser

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 >= 10, 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

The four-loop determination of the strong coupling from fully inclusive observables is reviewed. Special attention is given to the low-energy measurement extracted from the hadronic $\tau$ decay width. A recent exhaustive analysis of the…

High Energy Physics - Phenomenology · Physics 2017-04-05 Antonio Pich

We present a full account of the two-loop electroweak, two-photon mediated short-distance dispersive $K_L \to\mu^+\mu^-$ decay amplitude. QCD corrections change the sign of this amplitude and reduce it by an order of magnitude. Thus, the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. O. Eeg , K. Kumericki , I. Picek

The corrections of two-photon exchange on deuteron electromagnetic form factors are estimated based on an effective Lagrangian approach. Numerical results for the form factors $G_{C,M,Q}$ of the deuteron with the corrections are compared to…

Nuclear Theory · Physics 2010-04-22 Yu Bing Dong