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In the arena of the discrete phase space and continuous time, the theory of S-marix is formulated. In the special case of Quantum-Electrodynamics (QED), the Feynman rules are precisely developed. These rules in the fourmomentum turn out to…

Mathematical Physics · Physics 2010-07-09 A. Das

We evaluate the O(alpha) QED corrections to the recoil electron energy spectrum in the process nu_l + e --> nu_l + e (+gamma), where (+gamma) indicates the possible emission of a photon and l=e, mu or tau. The soft and hard bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Passera

We study Standard Model four-fermion production in e+ e- annihilation at LEP2 energies and above using a semi-analytical approach. We derive the complete QED initial state corrections (ISR) to the reactions e+e- -> ZZ ->…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dima Bardin , Dietrich Lehner , Tord Riemann

Electroweak second order shifts of muonium ($\mu^+e^-$ bound state) energy levels are calculated for the first time. Calculation starts from on-shell one-loop elastic $\mu^+ e^-$ scattering amplitudes in the center of mass frame, proceed to…

High Energy Physics - Phenomenology · Physics 2018-10-15 T. Asaka , M. Tanaka , K. Tsumura , M. Yoshimura

Basis Light-front Quantization has been proposed as a nonperturbative framework for solving quantum field theory. We apply this approach to Quantum Electrodynamics and explicitly solve for the light-front wave function of a physical…

Nuclear Theory · Physics 2014-08-26 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

Canonically, the quantum electrodynamic radiative corrections in bound systems have been evaluated in photon energy regularization, i. e. using a noncovariant overlapping parameter that separates the high-energy relativistic scales of the…

High Energy Physics - Phenomenology · Physics 2013-09-10 B. J. Wundt , U. D. Jentschura

Naive light-front quantization, carried out by a light-front energy integration of covariant amplitudes, is not guaranteed to generate the corresponding Feynman amplitudes. In an explicit example we show that the nonvalence contribution to…

High Energy Physics - Theory · Physics 2009-10-31 B. L. G. Bakker , Chueng-Ryong Ji

Within the framework of the recently proposed Taylor-Lagrange regularization procedure, we reanalyze the calculation of radiative corrections in $QED$ at next to leading order. Starting from a well defined local bare Lagrangian, the use of…

High Energy Physics - Theory · Physics 2023-01-26 Jean-François Mathiot

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a…

High Energy Physics - Phenomenology · Physics 2011-08-12 S. S. Chabysheva , J. R. Hiller

Light-front quantum chromodynamics may lead to an accurate constituent approximation for the low-energy properties of hadrons. This requires a cutoff that violates explicit gauge invariance and Lorentz covariance, leading to the calculation…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

Hamiltonian light-front quantum field theory provides a framework for calculating both static and dynamic properties of strongly interacting relativistic systems. Invariant masses, correlated parton amplitudes and time-dependent scattering…

Nuclear Theory · Physics 2014-06-10 James P. Vary , Xingbo Zhao , Anton Ilderton , Heli Honkanen , Pieter Maris , Stanley J. Brodsky

The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for…

Atomic Physics · Physics 2015-05-14 V. A. Yerokhin

This work deals with the computation of electron pair correction to small angle Bhabha scattering, in order to contribute to the improvement of luminometry precision at LEP/SLC below 0.1% theoretical accuracy. The exact QED four-fermion…

High Energy Physics - Phenomenology · Physics 2011-07-19 G. Montagna , M. Moretti , O. Nicrosini , A. Pallavicini , F. Piccinini

Employing the standard hard-scattering approach and the running coupling method we calculate a class of power-suppressed corrections $\sim 1/Q^{2n},n=1,2,3,...$ to the electromagnetic $\pi^0\gamma$ transition form factor (FF)…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. S. Agaev

The basis-set correction method based on density-functional theory consists in correcting the energy calculated by a wave-function method with a given basis set by a density functional. This basis-set correction density functional…

Chemical Physics · Physics 2023-07-05 Diata Traore , Emmanuel Giner , Julien Toulouse

We present the exact O(alpha) correction to the process e+ e- -> f f-bar + gamma, f neq e, for ISR oplus FSR at and beyond LEP2 energies. We give explicit formulas for the completely differential cross section. As an important application,…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Jadach , M. Melles , B. F. L. Ward , S. A. Yost

A relativistic theory of the Zeeman splitting of hyperfine levels in two-fermion systems is presented. The approach is based on the variational equation for bound states derived from quantum electrodynamics [1]. Relativistic corrections to…

High Energy Physics - Phenomenology · Physics 2008-05-27 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

O(\alpha^2 \ln(m_\mu/m_e)) corrections to electron energy spectrum in muon decay are computed using perturbative fragmentation function approach. The magnitude of these corrections is comparable to anticipated precision of the TWIST…

High Energy Physics - Phenomenology · Physics 2014-11-17 Andrej Arbuzov , Kirill Melnikov

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

High Energy Physics - Theory · Physics 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro