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Related papers: Two-loop QED hadronic corrections to Bhabha scatte…

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We compute the two-loop QED helicity amplitudes for the scattering of a lepton pair with an off-shell and an on-shell photon, $0\to\ell\bar\ell\gamma\gamma^*$, using the approximation of massless leptons. We express all master integrals…

High Energy Physics - Phenomenology · Physics 2023-11-10 Simon Badger , Jakub Kryś , Ryan Moodie , Simone Zoia

Compact analytical formulae for QED radiative corrections in the processes of elastic $e-p$ scattering are obtained in the case when kinematic variables are reconstructed from the recoil proton momentum measured. Numerical analysis is…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Afanasev , I. Akushevich , A. Ilyichev , N. P. Merenkov

We present O(alpha) YFS exponentiated results for wide angle Bhabha scattering at LEP/SLC energies using a new Monte Carlo event generator BHWIDE 1.xx. Our calculations include two options for the pure weak corrections, as presented in…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Jadach , W. Placzek , B. F. L. Ward

We construct the generating functional of two flavor chiral perturbation theory including the effects of virtual photons in the one loop approximation. As an application, we calculate the electromagnetic corrections to the elastic $\pi\pi$…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulf-G. Meißner , G. Müller , S. Steininger

We compute the 1-loop (alpha_s^2) correction to hard spectator scattering in non-leptonic B decay tree amplitudes. This forms part of the NNLO contribution to the QCD factorization formula for hadronic B decays, and introduces a new…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , S. Jager

We present the values of the complete set of planar four-point Master Integrals needed for massive Bhabha scattering in the limit of fixed angle and high energy at the two-loop level. The integrals have been calculated using direct…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Czakon , J. Gluza , T. Riemann

We calculate the two-loop QCD correction to the scalar quark contributions to the electroweak gauge-boson self-energies at zero momentum-transfer in the supersymmetric extension of the Standard Model. We then derive the $O(\alpha_s)$…

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

A general method for computing ${\cal O} (\alpha^2)$ and higher-order next-to-leading photonic corrections is presented and applied to the precision calculation of the small-angle Bhabha scattering cross section in the phase-space region of…

High Energy Physics - Phenomenology · Physics 2011-04-20 G. Montagna , O. Nicrosini , F. Piccinini

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

High energy scattering processes of charged particles are accompanied by radiation of hard photons. Emission collinear to the incident particles, which leads to a reduction of the effective beam energy, and the possibility to directly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harald Anlauf

We develop a number of sum rules comparing spectral integrals involving judiciously chosen weights to integrals over the corresponding Euclidean two-point function. The applications we have in mind are to the hadronic vacuum polarization…

High Energy Physics - Lattice · Physics 2023-03-15 Diogo Boito , Maarten Golterman , Kim Maltman , Santiago Peris

We present some techniques which have been developed recently or in the recent past to compute Feynman graphs beyond one-loop order. These techniques are useful to compute the three-loop splitting functions in QCD and to obtain the complete…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. L. van Neerven

We calculate and discuss the one-loop corrections to the photon sector of QED interacting to a background gravitational field. At high energies the fermion field can be taken as massless and the quantum terms can be obtained by integrating…

High Energy Physics - Theory · Physics 2013-05-29 Bruno Gonçalves , Guilherme de Berredo-Peixoto , Ilya L. Shapiro

The effect of vacuum polarization on the parity violating asymmetry in the elastic electron-nucleus scattering is considered. Calculations are performed in the high-energy approximation with an exact account for the electric field of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. I. Milstein , O. P. Sushkov

I present a status report of the hadronic vacuum polarization effects for the muon $g-2$, to be considered as an update of [1]. The update concerns recent new inclusive $R$ measurements from KEDR in the energy range 1.84 to 3.72 GeV. For…

High Energy Physics - Phenomenology · Physics 2018-02-14 Fred Jegerlehner

We analyze the electromagnetic current correlator at an arbitrary photon invariant mass $q^2$ by exploiting its associated dispersion relation. The dispersion relation is turned into an inverse problem, via which the involved vacuum…

High Energy Physics - Phenomenology · Physics 2020-11-18 Hsiang-nan Li , Hiroyuki Umeeda

For coupled-channel resonance scattering we derive a model with a closed form solution for the $T$-matrix that satisfies unitarity and analyticity. The two-channel case is handled explicitly for an arbitrary number of resonances. The method…

Nuclear Theory · Physics 2009-11-07 N. E. Ligterink

In the recent Muon g-2 Theory Initiative white paper update, the hadronic vacuum polarization (HVP) contribution -- which dominates the theoretical uncertainty -- is evaluated as an average of different lattice QCD calculations. Since…

High Energy Physics - Lattice · Physics 2026-03-02 Mattia Bruno , Vera Gülpers , Nils Hermansson-Truedsson , Christoph Lehner , Julian Parrino , J. Tobias Tsang

We reevaluate the vacuum polarization functions for electroweak gauge bosons at three loops in QCD, employing state-of-the-art perturbative techniques. We apply these results to determine the ${\mathcal{O}}(\alpha \alpha_s^2)$ corrections…

High Energy Physics - Phenomenology · Physics 2026-04-21 Tanmoy Pati , Narayan Rana , Alessandro Vicini

The scalar two-loop master diagram is revisited in the massive cases needed for the computation of boson and fermion propagators in QED and QCD. By means of the causal method it is possible in a straightforward manner to express the…

High Energy Physics - Theory · Physics 2016-09-06 A. Aste , G. Scharf
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