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Related papers: Massive two-loop Bhabha scattering -- the factoriz…

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The calculation of exclusive observables beyond the one-loop level requires elaborate techniques for the computation of multi-leg two-loop integrals. We discuss how the large number of different integrals appearing in actual two-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Gehrmann , E. Remiddi

The quantum off-shell recursion provides an efficient and universal computational tool for loop-level scattering amplitudes. In this work, we present a new comprehensive computational framework based on the quantum off-shell recursion for…

High Energy Physics - Theory · Physics 2023-11-03 Kyoungho Cho , Kwangeon Kim , Kanghoon Lee

Two-photon emission of an electron in an electromagnetic plane wave of vanishing frequency is calculated. The unpolarised probability is split into a two-step process, which is shown to be exactly equal to an integration over polarised…

High Energy Physics - Phenomenology · Physics 2015-09-15 B. King

We discuss the two-loop integrals necessary for evaluating massless 2 to 2 scattering amplitudes. As a test process, we consider the leading colour two-loop contribution to qqbar to q'qbar'. We show that for physical scattering processes…

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

We reduce all the most complicated Feynman integrals in two-loop five-light-parton scattering amplitudes to basic master integrals, while other integrals can be reduced even easier. Our results are expressed as systems of linear relations…

High Energy Physics - Phenomenology · Physics 2020-09-11 Xin Guan , Xiao Liu , Yan-Qing Ma

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 compute the full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes…

High Energy Physics - Phenomenology · Physics 2014-06-13 Thomas Gehrmann , Andreas von Manteuffel , Lorenzo Tancredi , Erich Weihs

We investigate the potential to observe double parton scattering at the Large Hadron Collider in p p -> W b bbar X -> l nu b bbar X at 7 TeV. Our analysis tests the efficacy of several kinematic variables in isolating the double parton…

High Energy Physics - Phenomenology · Physics 2011-11-01 Edmond L. Berger , C. B. Jackson , Seth Quackenbush , Gabe Shaughnessy

We present an analytic computation of the two-loop QCD corrections to $u\bar{d}\to W^+b\bar{b}$ for an on-shell $W$-boson using the leading colour and massless bottom quark approximations. We perform an integration-by-parts reduction of the…

High Energy Physics - Phenomenology · Physics 2021-10-14 Simon Badger , Heribertus Bayu Hartanto , Simone Zoia

Precision studies of the Higgs boson at future $e^+e^-$ colliders can help to shed light on fundamental questions related to electroweak symmetry breaking, baryogenesis, the hierarchy problem, and dark matter. The main production process,…

High Energy Physics - Phenomenology · Physics 2025-12-04 Qian Song , Ayres Freitas

We provide an exact calculation of next-to-next-to-leading order (NNLO) massive corrections to Bhabha scattering in QED, relevant for precision luminosity monitoring at meson factories. Using realistic reference event selections, exact…

High Energy Physics - Phenomenology · Physics 2015-06-03 C. M. Carloni Calame , H. Czyz , J. Gluza , M. Gunia , G. Montagna , O. Nicrosini , F. Piccinini , T. Riemann , M. Worek

We evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus…

High Energy Physics - Phenomenology · Physics 2022-10-13 Pierpaolo Mastrolia , Massimo Passera , Amedeo Primo , Ulrich Schubert

We improve the existing calculations of deep inelastic scattering to next to next to leading order in the following manner. First, we use the recently calculated values of the anomalous dimensions for moments with index n=10,12 in ep…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Santiago , F. J. Yndurain

Bhabha scattering is one of the processes at the ILC where high precision data will be expected. The complete NNLO corrections include radiative loop corrections, with contributions from Feynman diagrams with five external legs. We take…

High Energy Physics - Phenomenology · Physics 2009-02-16 J. Gluza , T. Riemann

We generalize our previous model for $\gamma^* p$ scattering to $\gamma \gamma$ scattering. In the latter case the number of components naturally grows. When using the model parameters from our previous $\gamma^* p$ analysis the model cross…

High Energy Physics - Phenomenology · Physics 2009-01-07 Tomasz Pietrycki , Antoni Szczurek

We present a quantum tomography study of fermion pair production at future $e^+e^-$ colliders, emphasizing how longitudinal beam polarization controls the two-qubit spin density matrix. We study the processes $e^+ e^- \to t\bar{t},\…

High Energy Physics - Phenomenology · Physics 2026-02-04 Yu-Chen Guo , Tao Han , Matthew Low , Youle Su

We present a factorization framework that takes into account the production of heavy quarks through gluon splitting in the thrust distribution for e+ e- --> hadrons. The explicit factorization theorems and some numerical results are…

High Energy Physics - Phenomenology · Physics 2014-12-23 Andre H. Hoang , Vicent Mateu , Piotr Pietrulewicz

We perform light-scattering numerical simulations for two dust populations: (i) consolidated porous particles computed with the discrete dipole approximation (ADDA) and (ii) highly porous aggregate models, including fractal and hierarchical…

An exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz…

Strongly Correlated Electrons · Physics 2024-11-14 Mingchen Zheng , Xin Zhang , Junpeng Cao , Wen-li Yang , Yupeng Wang

BHAGEN-1PH is a FORTRAN program providing fast Monte Carlo event generation of the process $e^+ e^- \to e^+ e^- \gamma$, within electroweak theory, for both unpolarized beams and also for the longitudinally polarized electron beam. The…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Caffo , H. Czyz