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Related papers: Two-Loop Bhabha Scattering in QED

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We derive the coefficient of the O(alpha^2 log(s/m_e^2)) fixed order contribution to elastic large-angle Bhabha scattering. We adapt the classification of infrared divergences, that was recently developed within dimensional regularization,…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , J. B. Tausk , J. J. van der Bij

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

Recent developments in the computation of two-loop master integrals for massive Bhabha scattering are briefly reviewed. We apply a method based on expansions of exact Mellin-Barnes representations and evaluate all planar four-point master…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stefano Actis , Michal Czakon , Janusz Gluza , Tord Riemann

We evaluate analytically the master integrals for one of two types of planar families contributing to massive two-loop Bhabha scattering in QED. As in our previous paper, we apply a recently suggested new strategy to solve differential…

High Energy Physics - Theory · Physics 2015-06-16 Johannes M. Henn , Vladimir A. Smirnov

The process of large-angle high energy electron-positron scattering with emission of one hard photon almost collinear to one of the charged particles momenta is considered. The differential cross section with radiative corrections due to…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Antonelli , E. A. Kuraev , B. G. Shaikhatdenov

Estimates of QED and dispersion effects on the cross section for elastic electron scattering from a 12C nucleus are provided for collision energies in the range of 120-450 MeV. While in general such corrections are smoothly varying with…

Nuclear Theory · Physics 2021-11-11 D. H. Jakubassa-Amundsen

From the perspective of quantum information science, we investigate tree-level Bhabha scattering between an incident electron $A$ and a positron B, where $B$ is initially entangled with a spectator electron $C$, which does not participate…

Quantum Physics · Physics 2026-04-30 Zan Cao , Meng-Long Song , Xue-Ke Song , Liu Ye , Dong Wang

Theoretical predictions for Bhabha scattering observables are presented including complete one-loop electroweak radiative corrections. A longitudinal polarization of the initial beams is taken into account. Numerical results for the…

High Energy Physics - Phenomenology · Physics 2018-07-11 D. Bardin , A. Arbuzov , S. Bondarenko , Ya. Dydyshka , L. Kalinovskaya , L. Rumyantsev , R. Sadykov

We present the O(alphas^4) virtual QCD corrections to the scattering process of massless quark qqbar -> gg due to the interference of tree and two-loop amplitudes and to the self-interference of one-loop amplitudes. We work in conventional…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , E. W. N. Glover , C. Oleari , M. E. Tejeda-Yeomans

We present the analytic expressions of the three-loop virtual corrections to the helicity amplitudes of 2 -> 2 four-fermion scattering processes in massless QED. The contributing Feynman diagrams are grouped into integrand families…

High Energy Physics - Phenomenology · Physics 2026-02-12 Giulio Crisanti , Thomas Dave , Pierpaolo Mastrolia , Jonathan Ronca , Sid Smith , William J. Torres Bobadilla

Effects of vacuum polarization by hadronic and heavy-fermion insertions were the last unknown two-loop QED corrections to high-energy Bhabha scattering and have been first announced in \cite{Actis:2007fs}. Here we describe the corrections…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefano Actis , Michal Czakon , Janusz Gluza , Tord Riemann

We report on the analytic computation of the 2-loop amplitude for Bhabha scattering in QED. We study the analytic structure of the amplitude, and reveal its underlying connections to hyperbolic Coxeter groups and arithmetic geometries of…

High Energy Physics - Theory · Physics 2023-10-11 Claude Duhr , Yu Jiao Zhu

We consider the elastic scattering of electrons by hydrogen atoms in the presence of a two-color circularly polarized laser field in the domain of moderate intensities below $10^{13}$ W/cm$^2$ and high projectile energies. A hybrid approach…

Atomic Physics · Physics 2023-06-16 Gabriela Buica

We present a set of scalar master integrals (MIs) needed for a complete treatment of massive two-loop corrections to Bhabha scattering in QED, including integrals with arbitrary fermionic loops. The status of analytical solutions for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Czakon , J. Gluza , T. Riemann

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part.…

High Energy Physics - Phenomenology · Physics 2021-06-18 Roman N. Lee , Matthew D. Schwartz , Xiaoyuan Zhang

We calculate the QED corrections to deep inelastic scattering with tagged photons at HERA in the leading logarithmic approximation. Due to the special experimental setup, two large scales appear in the calculation that lead to two large…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Anlauf , A. B. Arbuzov , E. A. Kuraev , N. P. Merenkov

The contribution to diffraction dissociation of virtual photons due to quasi-elastic scattering of the $q$-$\bar q$ component is calculated in the framework of the QCD dipole picture. Both longitudinal and transverse components of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas , R. Peschanski

The luminosity determination of electron-positron colliders operating in the region of low-lying hadronic resonances (E_cm ~ 1-10 GeV), such as BEPC/BES, DAPHNE, KEKB, PEP-II and VEPP-2M, requires the precision calculation of the Bhabha…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. M. Carloni Calame , C. Lunardini , G. Montagna , O. Nicrosini , F. Piccinini

We have calculated inclusive two-jet cross sections in next-to-leading order QCD for low Q^2 ep collisions superimposing direct and resolved contributions. Infrared and collinear singularities in the virtual and real contributions are…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Klasen , G. Kramer

Calculation of the differential cross section for the dielectronic recombination with two-electron uranium within the framework of QED is presented. The polarization of the emitted photon is investigated. The contributions of the Breit…

Atomic Physics · Physics 2016-10-26 Konstantin N. Lyashchenko , Oleg Yu. Andreev