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In $\rm e^+ \rm e^-$ collisions, the integrated luminosity is generally measured from the rate of low-angle Bhabha interactions $\rm e^+ e^- \to e^+ e^- $. In the published LEP results, the inferred theoretical uncertainty of $\pm 0.061\%$…

High Energy Physics - Phenomenology · Physics 2020-02-28 Patrick Janot , Stanisław Jadach

We review the status of Monte Carlo generators presently used for simulations of the large-angle Bhabha process at electron-positron colliders of moderately high energy (flavour factories), operating at centre-of-mass energies between about…

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

The Standard Model radiative corrections to the Bhabha scattering process are considered within the one-loop approximation. Both virtual corrections and corrections for the real photon emission are taken into consideration. The calculation…

High Energy Physics - Phenomenology · Physics 2020-10-27 A. G. Aleksejevs , S. G. Barkanova , Yu. M. Bystritskiy , V. A. Zykunov

The complete set of ${\cal O}(\alpha)$ QED corrections with soft photon exponentiation to the process $ep \rightarrow eX$ in mixed variables ($y=y_h,Q^2=Q_l^2$) is calculated in the quark parton model, including the lepton-quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Bardin , P. Christova , L. Kalinovskaya , T. Riemann

We report on a high-precision calculation of the Bhabha process in Quantum Electrodynamics, of interest for precise luminosity determination of electron-positron colliders involved in R measurements in the region of hadronic resonances. The…

High Energy Physics - Phenomenology · Physics 2009-09-29 G. Balossini , C. M. Carloni Calame , G. Montagna , O. Nicrosini , F. Piccinini

We describe in detail the calculation of the two-loop corrections to the QED Bhabha scattering cross section due to the vacuum polarization by heavy fermions. Our approach eliminates one mass scale from the most challenging part of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Bonciani , A. Ferroglia , A. A. Penin

After 10 years of steadily increasing the experimental precision at LEP/SLC, there is a strong demand on an update of existing programs for fermion pair production. We present a rederivation of the O(alpha) Bremsstrahlung corrections to…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Jack

In order to ensure measurement of the integrated luminosity with a relative precision of $\mathrm{10^{-4}}$ at the $\mathrm{Z^{0}}$ pole at CEPC, numerous systematic effects have to be quantified and, if possible, corrected for. Here we…

High Energy Physics - Experiment · Physics 2026-05-29 Ivan Smiljanić , Ivanka Božović , Ivana Vidaković , Nataša Vukašinović , Goran Kačarević

The recent experimental observation of Light-by-Light (LbL) scattering at the Large Hadron Collider has revived interest in this fundamental process, and especially of the accurate prediction of its cross-section, which we present here for…

High Energy Physics - Phenomenology · Physics 2024-03-12 Ajjath A H , Ekta Chaubey , Mathijs Fraaije , Valentin Hirschi , Hua-Sheng Shao

In this dissertation, a complete calculation of QED radiative corrections is presented for total cross sections and forward- backward asymmetries for s-channel fermion pair production in e+e- annihilation with kinematical cuts to the final…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Jack

The production of four fermions plus a visible photon in electron-positron collisions is analyzed, with particular emphasis on the LEP2 energy range. The study is based on the calculation of exact matrix elements, including the effect of…

High Energy Physics - Phenomenology · Physics 2011-09-13 G. Montagna , M. Moretti , O. Nicrosini , M. Osmo , F. Piccinini

We present a high-precision QED calculation, with 0.1% theoretical accuracy, of two photon production in $e^+ e^-$ annihilation, as required by more and more accurate luminosity monitoring at flavour factories. The accuracy of the approach,…

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

Recent developments in the calculation of the NNLO corrections to the Bhabha scattering differential cross section in pure QED are briefly reviewed and discussed.

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Bonciani , A. Ferroglia

We calculate the two-loop virtual, UV renormalized corrections at order \alpha^4 (N_F=1) in QED to the Bhabha scattering differential cross section, for arbitrary values of the squared c.m. energy s and momentum transfer t, and on-shell…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Bonciani , A. Ferroglia , P. Mastrolia , E. Remiddi , J. J. van der Bij

Purpose: Luminosity measurement at the Circular Electron-Positron Collider (CEPC) is required to achieve 10^-4 precision when operating at the center-of-mass energy of the Z-pole. Approximately 10^12 Z-bosons will be collected to refine…

High Energy Physics - Experiment · Physics 2026-01-12 Jiading Gong , Jun He , Rongyan He , Suen Hou , Quan Ji , Renjie Ma , Ming Qi , Haoyu Shi , Weimin Song , Xingyang Sun , Haijing Wang , Yilun Wang , Jialiang Zhang , Lei Zhang

The cross section of atomic electron Compton scattering $\gamma + e \rightarrow \gamma^\prime + e^\prime $ was measured in the 4.40--5.475 GeV photon beam energy region by the {\em PrimEx} collaboration at Jefferson Lab with an accuracy of…

The elastic and inelastic high--energy small--angle electron--positron scattering is considered. All radiative corrections to the cross--section with the relative accuracy $\delta\sigma/ \sigma = 0.1 \% $ are explicitly taken into account.…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Arbuzov , V. S. Fadin , E. A. Kuraev , L. N. Lipatov , N. P. Merenkov , L. G. Trentadue

In this paper we compute and discuss the differential cross section of the Bhabha scattering in the framework of the $z=2$ Lifshitz QED. We start by constructing the classical solutions for the fermionic fields, in particular the…

High Energy Physics - Theory · Physics 2015-05-18 R. Bufalo

The status and accuracy of the precision Monte Carlo generators used for luminosity measurements at flavour factories is reviewed. It is shown that, thanks to a considerable, long-term effort in tuned comparisons between the predictions of…

High Energy Physics - Phenomenology · Physics 2015-05-18 G Montagna , G Balossini , C Bignamini , C M Carloni Calame , O Nicrosini , F Piccinini

We evaluate, in the high-energy limit, $s\gg|t|\gg m^2\gg\lambda^2$, the sum of amplitudes corresponding to a class of Feynman diagrams describing two-loop virtual photonic corrections to Bhabha scattering. The diagrams considered are box…

High Energy Physics - Phenomenology · Physics 2009-10-22 Göran Fäldt , Per Osland