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Using dispersion relations, we derive the complete virtual QED contributions to Bhabha scattering due to vacuum polarization effects in photon propagation. We apply our result to hadronic corrections and to heavy lepton and top quark loop…

高能物理 - 唯象学 · 物理学 2008-11-26 Stefano Actis , Michal Czakon , Janusz Gluza , Tord Riemann

Virtual hadronic contributions to the Bhabha process at the NNLO level are discussed. They are substantial for predictions with per mil accuracy. The studies of heavy fermion and hadron corrections complete the calculation of Bhabha virtual…

高能物理 - 唯象学 · 物理学 2008-11-26 Stefano Actis , Janusz Gluza , Tord Riemann

Theoretical predictions for Bhabha scattering at the two-loop level require the inclusion of hadronic vacuum polarization in the photon propagator. We present predictions for the contributions from reducible amplitudes which are…

高能物理 - 唯象学 · 物理学 2008-11-26 Johann H. Kühn , Sandro Uccirati

We briefly review the status of the calculation of next-to-next-to-leading order corrections to large angle Bhabha scattering in pure QED. In particular, we focus on the analytic calculation of the two-loop virtual corrections involving a…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Bonciani , A. Ferroglia

Virtual fermionic N_f = 1 and N_f = 2 contributions to Bhabha scattering are combined with realistic real corrections at next-to-next-to-leading order in QED. The virtual corrections are determined by the package bha_nnlo_hf, and real…

高能物理 - 唯象学 · 物理学 2015-05-28 C. Carloni Calame , H. Czyz , J. Gluza , M. Gunia , G. Montagna , O. Nicrosini , F. Piccinini , T. Riemann , M. Worek

We use recently evaluated radiative and nonperturbative corrections to production of heavy quarks by a vector current to give very precise theoretical calculations of the high energy ($t^{1/2}\geq \sqrt{2}$ GeV) imaginary part of the photon…

高能物理 - 唯象学 · 物理学 2007-05-23 K. Adel , F. J. Ynduráin

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…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Bonciani , A. Ferroglia , A. A. Penin

We review the status of the calculation of next-to-next-to-leading order corrections to large angle Bhabha scattering in pure QED. After discussing the electron-loop and photonic corrections, we focus on the recently calculated two-loop…

高能物理 - 唯象学 · 物理学 2008-11-07 R. Bonciani , A. Ferroglia

We derive the two-loop corrections to Bhabha scattering from heavy fermions using dispersion relations. The double-box contributions are expressed by three kernel functions. Convoluting the perturbative kernels with fermionic threshold…

高能物理 - 唯象学 · 物理学 2008-12-30 S. Actis , M. Czakon , J. Gluza , T. Riemann

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…

高能物理 - 唯象学 · 物理学 2009-11-10 R. Bonciani , A. Ferroglia , P. Mastrolia , E. Remiddi , J. J. van der Bij

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…

高能物理 - 唯象学 · 物理学 2008-11-26 C. M. Carloni Calame , C. Lunardini , G. Montagna , O. Nicrosini , F. Piccinini

We evaluate the two-loop corrections to Bhabha scattering from fermion loops in the context of pure Quantum Electrodynamics. The differential cross section is expressed by a small number of Master Integrals with exact dependence on the…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Actis , M. Czakon , J. Gluza , T. Riemann

The cross-section of (quasi-)elastic large-angle electron-positron scattering at high energies is calculated. Radiative corrections of the orders O(\alpha^2 L^2) and O(\alpha^2 L), besides pure two-loop box contributions, are explicitly…

高能物理 - 唯象学 · 物理学 2009-10-31 A. B. Arbuzov , E. A. Kuraev , B. G. Shaikhatdenov

Recent evaluations of the hadronic vacuum polarization contributions to the effective fine-structure constant alpha_{em}(M_Z) are summarized and commented. A new update based on corrected CMD-2 data is presented. My new estimates are Delta…

高能物理 - 唯象学 · 物理学 2007-05-23 F. Jegerlehner

We evaluate the two-loop QED corrections to the Bhabha scattering cross section which involve the vacuum polarization by heavy fermions of arbitrary mass m_f >> m_e. The results are valid for generic values of the Mandelstam invariants…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Bonciani , A. Ferroglia , A. A. Penin

In this paper we present the master integrals necessary for the analytic calculation of the box diagrams with one electron loop (N_{F}=1) entering in the 2-loop (\alpha^3) QED virtual corrections to the Bhabha scattering amplitude of the…

高能物理 - 唯象学 · 物理学 2009-11-10 R. Bonciani , A. Ferroglia , P. Mastrolia , E. Remiddi , J. J. van der Bij

Multi-loop scattering amplitudes are difficult to evaluate due to singularities of the integrals involved, especially with increasing number of loops, external legs, and mass scales. For the first time for hadronic collisions at two loops,…

高能物理 - 唯象学 · 物理学 2025-11-26 Dario Kermanschah , Matilde Vicini

The QED vacuum polarization function is calculated to O(alpha^2) (next-to-leading order) accuracy in the threshold regime by using the concept of effective field theories to resum diagrams with the instantaneous Coulomb exchange of…

高能物理 - 唯象学 · 物理学 2016-08-25 A. H. Hoang

We calculate the $O(\alpha_s^2)$ heavy flavor corrections to charged current deep-inelastic scattering at large scales $Q^2 \gg m^2$. The contributing Wilson coefficient are given as convolutions between massive operator matrix elements and…

高能物理 - 唯象学 · 物理学 2014-02-21 Johannes Blümlein , Alexander Hasselhuhn , Torsten Pfoh

We reevaluate the dispersion integrals of the leading order hadronic contributions to the running of the QED fine structure constant alpha(s) at s=M_Z^2, and to the anomalous magnetic moments of the muon and the electron. Finite-energy QCD…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Davier , A. Hocker
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