arXiv subjects

B. G. Shaikhatdenov

Publications and source records attributed to B. G. Shaikhatdenov.

27 records · Page 2Linked to original sources

arXiv2007

Table of integrals. Asymptotical expressions for non--collinear kinematics

We present a set of Feynman integrals appearing in calculations of different QED processes to the one-loop accuracy. We consider scalar, vector, and tensor integrals with two, three, four and five denominators. The cases of equal and different fermion masses are considered. Results obtained are valid in the region where all kinematical invariants are large compared to the masses squared. Mass corrections for some scalar integrals in the case of different fermion masses are also given.

hep-ph↗

arXiv2002

(Quasi)elastic electron-muon large-angle scattering to a two-loop approximation: eikonal type contributions I

Part of eikonal type contributions to $eμ$ large-angle high-energy scattering cross section is considered in a quasi-elastic experimental set-up. Apart from virtual corrections we examine inelastic processes with emission of one and two soft real photons as well as soft lepton and pion pairs. Virtual photon contributions are given within a logarithmic accuracy. Box type Feynman amplitudes with leptonic and hadronic vacuum polarization insertion are considered explicitly as well as double box ones. Wherever appropriate analytic expressions obtained are compared with those predicted by a structure function approach.

hep-ph↗

arXiv2002

(Quasi)elastic electron--muon large-angle scattering to a two-loop approximation: vertex contributions

We consider a process of quasielastic $eμ$ large-angle scattering at high energies with radiative corrections up to a two-loop level. A lowest order radiative correction arising both from one-loop virtual photon emission and a real soft emission are presented to a power accuracy. Two-loop level corrections are supposed to be of three gauge-invariant classes. One of them, so called vertex contribution, is given in logarithmic approximation. Relation with the renormalization group approach is discussed.

hep-ph↗

arXiv1999

Radiative large-angle Bhabha scattering in collinear kinematics

The process of large-angle high energy electron-positron scattering with emission of one hard photon almost collinear to one of the charged particles momenta is considered. The differential cross section with radiative corrections due to emission of virtual and soft real photons calculated to a power accuracy is presented. Emission of two hard photons and total expressions for radiative correction are given in leading logarithmical approximation. The latter are illustrated by numeric estimates. A relation of the results with structure function formalism is discussed.

hep-ph↗

arXiv1999

Triplet Production by Linearly Polarized Photons

The process of electron-positron pair production by linearly polarized photons is used as a polarimeter to perform mobile measurement of linear photon polarization. In the limit of high photon energies, omega, the distributions of the recoil-electron momentum and azimuthal angle do not depend on the photon energy in the laboratory frame. We calculate the power corrections of order m/omega to the above distributions and estimate the deviation from the asymptotic result for various values of omega.

hep-ph↗

arXiv1998

Violation of the factorization theorem in large angle radiative Bhabha scattering

The lowest order QED radiative corrections to the radiative large angle Bhabha scattering process in the region where all kinematic invariants are large compared to the electron mass are considered. We show that the leading logarithmic corrections do not factorize before the Born cross section, contrary to the picture assumed in the renormalization group approach. The leading and non leading contributions for typical kinematics of the hard process at the energy of the $Φ$ factory are estimated.

hep-ph↗

arXiv1998

Second order contributions to elastic large-angle Bhabha scattering cross-section

The cross-section of (quasi-)elastic large-angle electron-positron scattering at high energies is calculated. Radiative corrections of the orders O(α^2 L^2) and O(α^2 L), besides pure two-loop box contributions, are explicitly calculated. In the second order we considered the following sources of corrections: 1) Virtual photonic corrections coming from squares of 1-loop level amplitudes and their relevant interferences (vertex-type and box-type Feynman diagrams). 2) Double soft photon emission and one-loop corrections to single soft photon emission. The results are presented in an analytical form.

hep-ph↗

arXiv1998

Radiative corrections to the background of $μ\to eγ$ decay

Radiative muon decay in the kinematics similar to the neutrinoless decay $μ\to eγ$ is considered. Radiative corrections due to 1-loop virtual photons and emission of additional soft or hard photons are taken into account. Analytical expressions and numerical estimations are presented.

hep-ph↗

arXiv1998

Radiative corrections to the process $μ^+ μ^- \to H γ$

QED radiative corrections to the cross-section of muon-antimuon annihilation into Higgs boson and photon are calculated within the 1-loop approximation. We write down the expression for cross-section in the form of Drell-Yan process, taking into account higher order leading logs. The non-singlet structure functions of fermions are shown to obey here evolution equations of twist-3 operators. Numerical estimation shows an importance of the correction in the region close to the threshold of Higgs production.

hep-ph↗