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Related papers: Two-Loop Correction to Bhabha Scattering

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A critical subject in fully differential QED calculations originates from numerical instabilities due to small fermion masses that act as regulators of collinear singularities. At next-to-next-to-leading order (NNLO) a major challenge is…

High Energy Physics - Phenomenology · Physics 2021-08-03 Pulak Banerjee , Tim Engel , Nicolas Schalch , Adrian Signer , Yannick Ulrich

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Arbuzov , V. Fadin , E. Kuraev , L. Lipatov , N. Merenkov , L. Trentadue

We present a detailed analysis of QED corrections to $\bar{B} \to \bar{K} \ell^+ \ell^-$ decays at the double-differential level. Cancellations of soft and collinear divergences are demonstrated analytically using the phase space slicing…

High Energy Physics - Phenomenology · Physics 2021-03-25 Gino Isidori , Saad Nabeebaccus , Roman Zwicky

We discuss the computation of QCD virtual corrections to the top production and decay process at linear colliders. The double pole approximation (DPA) is used, and we comment on similarities and differences between our results and results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cosmin Macesanu

In the supersymmetric extension of the Standard Model we derive the two-loop QCD corrections to the scalar quark contributions to the electroweak precision observables entering via the rho parameter. A very compact expression is derived for…

High Energy Physics - Phenomenology · Physics 2009-07-09 A. Djouadi , P. Gambino , S. Heinemeyer , W. Hollik , C. Jünger , G. Weiglein

We define a complete set of scalar master integrals (MIs) for massive 2-loop QED Bhabha scattering. Among others, there are thirty three 2-loop box type MIs. Five of them have been published in (semi-)analytical form, one is determined…

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

We clarify a discrepancy between two previous calculations of the two-loop QED Euler-Heisenberg Lagrangian, both performed in proper-time regularization, by calculating this quantity in dimensional regularization.

High Energy Physics - Theory · Physics 2008-11-26 Denny Fliegner , Martin Reuter , Michael G. Schmidt , Christian Schubert

I discuss an application of numerical techniques for massive two-loop Feynman diagram evaluation to a phenomenologically very important rare decay process, B -> X_s l+l-. This process, currently being measured at B factories, has been…

High Energy Physics - Phenomenology · Physics 2007-05-23 Adrian Ghinculov

We consider the two-loop corrections to the $HW^+W^-$ vertex at order $\alpha\alpha_s$. We construct a canonical basis for the two-loop integrals using the Baikov representation and the intersection theory. By solving the $\epsilon$-form…

High Energy Physics - Phenomenology · Physics 2022-01-07 Chichuan Ma , Yuxuan Wang , Xiaofeng Xu , Li Lin Yang , Bin Zhou

A new Monte Carlo event generator for wide angle Bhabha scattering and muon pair production in $e^+e^-$ collisions is described. The program includes complete one-loop electroweak corrections, and QED radiative corrections. The O($\alpha$)…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. H. Field , T. Riemann

We study the renormalization of the QCD $\theta$ angle at the two-loop level focusing on divergent and finite $CP$-violating contributions from evanescent operators, using dimensional regularization with the BMHV scheme. When one considers…

High Energy Physics - Phenomenology · Physics 2025-09-22 Tatsuya Banno , Junji Hisano , Teppei Kitahara , Kiyoto Ogawa , Naohiro Osamura

QCD one-loop corrections to the semileptonic process $e^+ e^- \to \mu^- \bar \nu_\mu u \bar d$ are computed. We compare the exact calculation with a ``naive'' approach to strong radiative corrections which has been widely used in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Maina , R. Pittau , M. Pizzio

We derive logarithmically enhanced two-loop virtual electroweak corrections for arbitrary fermion-scattering processes at the TeV scale. This extends results previously obtained for massless fermion scattering to processes that involve also…

High Energy Physics - Phenomenology · Physics 2009-11-19 Ansgar Denner , Bernd Jantzen , Stefano Pozzorini

Analitical calculations have been used to describe the calorimeter event selection in small-angle electron-positron scattering at LEP1. The first-order QED correction to the Born cross-section has been derived with leading log and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. I. Gakh , V. Yu. Gonchar , N. P. Merenkov

We report on a high-precision calculation of the Bhabha process in QED, of interest for precise luminosity determination of low-energy electron-positron colliders. The calculation is based on the matching of exact next-to-leading order…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Balossini , C. M. Carloni Calame , G. Montagna , O. Nicrosini , F. Piccinini

We report on two recent multiloop results in QED: (i) the four-loop corrections to the conversion relations between the QED charge renormalized in the on-shell and MS-bar schemes; (ii) analytical evaluation of a class of asymptotic…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. A. Baikov , K. G. Chetyrkin , C. Sturm

We study electron-electron contact-interaction searches in the process e+ + e- --> e+ + e- at a future linear collider with longitudinally polarized beams, and evaluate the model-independent constraints on the contact interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. S. Kokoulina , L. M. Kurbatova , A. A. Pankov

With the advent of generalized unitarity and parametric integration techniques, the construction of a generic Next-to-Leading Order Monte Carlo becomes feasible. Such a generator will entail the treatment of QCD color in the amplitudes. We…

High Energy Physics - Phenomenology · Physics 2014-11-20 Walter Giele , Zoltan Kunszt , Jan Winter

We present the Monte Carlo program BHAGEN95, for calculating the cross-section of the Bhabha scattering process at LEP1/SLC and LEP2 energies, usable with continuity from small to large-angle configurations. We discuss some improvements in…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Caffo , H. Czyz , E. Remiddi

The leptonic QED radiative corrections are calculated in the next-to-leading log approximation ${\cal O}[\alpha^2 \ln(Q^2/m_e^2)]$ for unpolarized deeply inelastic $ep$--scattering in the case of mixed variables. The corrections are…

High Energy Physics - Phenomenology · Physics 2010-04-05 J. Blümlein , H. Kawamura
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