Higher Order Radiative Corrections to Electron Scattering

1957 ◽  
Vol 105 (4) ◽  
pp. 1378-1382 ◽  
Author(s):  
D. R. Yennie ◽  
H. Suura
2018 ◽  
Vol 98 (4) ◽  
Author(s):  
G. I. Gakh ◽  
M. I. Konchatnij ◽  
N. P. Merenkov ◽  
Egle Tomasi-Gustafsson

1995 ◽  
Vol 10 (04) ◽  
pp. 443-464 ◽  
Author(s):  
BERND A. KNIEHL

We review recent theoretical progress in the computation of radiative corrections beyond one loop within the standard model of electroweak interactions, in both the gauge and Higgs sectors. In the gauge sector, we discuss universal corrections of [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], and those due to virtual [Formula: see text]-threshold effects, as well as specific corrections to [Formula: see text] of [Formula: see text], [Formula: see text] and [Formula: see text] including finite-mb effects. We also present an update of the hadronic contributions to Δα. Theoretical uncertainties, other than those due to the lack of knowledge of MH and mt, are estimated. In the Higgs sector, we report on the [Formula: see text] corrections to [Formula: see text] including those which are specific for the [Formula: see text] mode, the [Formula: see text] corrections to [Formula: see text] including the finite-mq terms, and the [Formula: see text] corrections to Γ(H → gg).


1972 ◽  
Vol 5 (2) ◽  
pp. 358-376 ◽  
Author(s):  
Lester L. DeRaad ◽  
Richard J. Ivanetich ◽  
Kimball A. Milton ◽  
Wu-yang Tsai

1988 ◽  
Vol 297 (3) ◽  
pp. 429-478 ◽  
Author(s):  
F.A. Berends ◽  
W.L. Van Neerven ◽  
G.J.H. Burgers

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Pulak Banerjee ◽  
Tim Engel ◽  
Adrian Signer ◽  
Yannick Ulrich

McMule is a framework for fully differential higher-order QED calculations of scattering and decay processes involving leptons. It keeps finite lepton masses, which regularises collinear singularities. Soft singularities are treated with dimensional regularisation and using FKS^\ellℓ subtraction. We describe the implementation of the framework in Fortran 95, list the processes that are currently implemented, and give instructions on how to run the code. In addition, we present new phenomenological results for muon-electron scattering and lepton-proton scattering, including the dominant NNLO corrections. While the applications presented focus on MUonE, MUSE, and P2, the code can be used for a large number of planned and running experiments.


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Joachim Brod ◽  
Zachary Polonsky

Abstract We present the general form of the renormalizable four-point interactions of a complex scalar field furnishing an irreducible representation of SU(2), and derive a set of algebraic identities that facilitates the calculation of higher-order radiative corrections. As an application, we calculate the two-loop beta function for the SM extended by a scalar multiplet, and provide the result explicitly in terms of the group invariants. Our results include the evolution of the Higgs-portal couplings, as well as scalar “minimal dark matter”. We present numerical results for the two-loop evolution of the various couplings.


2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Carlo M. Carloni Calame ◽  
Mauro Chiesa ◽  
Syed Mehedi Hasan ◽  
Guido Montagna ◽  
Oreste Nicrosini ◽  
...  

Abstract The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. The theoretical formulation for the fixed-order NNLO photonic radiative corrections is described and the impact of the numerical results obtained with the corresponding Monte Carlo code is discussed for typical event selections of the MUonE experiment. In particular, the gauge-invariant subsets of corrections due to electron radiation as well as to muon radiation are treated exactly. The two-loop contribution due to diagrams where at least two virtual photons connect the electron and muon lines is approximated taking inspiration from the classical Yennie-Frautschi-Suura approach. The calculation and its Monte Carlo implementation pave the way towards the realization of a simulation code incorporating the full set of NNLO corrections matched to multiple photon radiation, that will be ultimately needed for data analysis.


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