Structure function method of QED radiative corrections calculation for processes on lepton-hadron, lepton-photon, and lepton-lepton

colliders

E.A. Kuraev

Joint Institute for Nuclear Research

Dubna, Russia

Plan of the talk:

1.

2.

3.

Born differential cross sections and the lowest-order radiative correction to them are obtained in the kinematics of large-angle final photons emission in high-energy electron-positron annihilation processes. Taking into account possible emission of real soft and hard photons in collinear kinematics we show the validity of the Drell-Yan form of differential cross section with the nonsinglet structure functions of initial leptons. The leading and next-to leading contribution to the cross sections is obtained. The relevant numerical estimations are presented.

1.

Born approximation:

If then

Virtual corrections:

Soft photon emission corrections:

Hard collinear photon emission corrections:

Method of quasi-real electrons

Region:

If then

Born cross section and the radiative corrections to its lowest order are considered in the frame work of QED with structureless nucleons including the emission of virtual and real photons. Result is generalized to take into account radiative corrections in higher orders of perturbation theory in the leading and next-to leading logarithmic approximation. Crossing processes are considered in the leading approximation.

2.

Born approximation:

Virtual corrections:

Soft photon emission corrections:

Virtual + Soft corrections:

Hard photon emission corrections:

Total radiative corrections:

3.

Born:

3.

3.

G-type

B-type

Soft photon emission corrections:

Hard photon emission corrections:

Gathering different contributions:

Total radiative corrections: