Abstract
The problem of the bremsstrahlung contribution calculation as a part of the radiative corrections in the case of single gauge boson production was discussed. It was shown that the hard photon bremsstrahlung contribution can be divided into the finite and divergent terms. The exact calculation of soft photon bremsstrahlung and infrared part of hard photon bremsstrahlung was presented in frame of the dimensional regularization scheme. Numerical analysis of radiative corrections to the cross sections of single gauge boson production was performed.
Highlights
The calculation of radiative corrections to the cross sections of the processes of elementary particles interactions is an important and timeconsuming problem of quantum field theory
The contribution of the lowest-order radiative corrections can be divided into two categories: the contribution of virtual particles, or one-loop corrections (V-terms) and the contribution of real photons, or bremsstrahlung (R-terms)
In accordance with the common methods, the contribution of soft photons is calculated using the dimensional regularization method, as well as calculation of the contribution of hard bremsstrahlung with the separation of the IR diverging part for processes based on electronphoton collisions, which will take place at the International Linear Collider (ILC) [4, 5] and are important for the study of the Standard Model variations [6,7,8,9,10,11]
Summary
The calculation of radiative corrections to the cross sections of the processes of elementary particles interactions is an important and timeconsuming problem of quantum field theory. The existence of divergences imposes significant restrictions on the possibility of direct numerical analysis of the observed quantities, including the total and differential cross sections of the processes under consideration. In this regard, the analytical covariant description of the processes is highly essential. The problem of accounting for the R-contribution requires a larger number of unique analytical results. In accordance with the common methods, the contribution of soft photons is calculated using the dimensional regularization method, as well as calculation of the contribution of hard bremsstrahlung with the separation of the IR diverging part for processes based on electronphoton collisions, which will take place at the International Linear Collider (ILC) [4, 5] and are important for the study of the Standard Model variations [6,7,8,9,10,11]
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