Bogoliubov compensation approach in QCD and in the electroweak theory

We describe application of Bogoliubov compensation principle to calculation of non-perturbative contribution in the electroweak theory and QCD. We obtain unique solutions of compensation equations, which impose strong restrictions on parameters of theories and on functional dependence of corresponding form-factors. We calculate value of running gauge electroweak coupling $\alpha_w(M_W)=0.0374$, that differs from the experimental value less than by 10%. We derive effective Nambu-Jona-Lasinio interaction from fundamental QCD and express its parameters in terms of initial QCD parameters: $\alpha_s$ at low-momenta and current mass of light quarks. This leads to satisfactory description of low-mass hadron physics.Comment: 6 pages, no figures, talk presented at the International Bogolyubov Conference, August 21-27, 2009, Moscow-Dubna, Russi

Higher order pair corrections to electron-positron annihilation

Radiative corrections due to pair production in process of electron-positron annihilation are considered. The main attention is paid to the corrections of the third order. Simultaneous emission of photons and pairs is taken into account. The leading log approximation and convolution procedure are used. Exponentiation is discussed. Theoretical uncertainty in description of higher order secondary pairs is estimated.Comment: 14 pages, extended version prepared for JHE

HERA high Q2Q^2 events as indications of excited leptons with weak isotopic spin 3/2

The H1 and ZEUS anomalous events are interpreted as being due to the production and the decay of excited leptons $E$, which correspond to spin 1/2 resonances of the first generation lepton doublet ($\nu_e, e$) with W triplet. This assumption is supported by considering of Bethe-Salpeter equation in the ladder approximation with anomalous triple gauge boson vertex. The solution with weak isospin $I = 3/2$ is shown to exist for zero mass state, that means M_E$is small in comparison with TeV mass scale. The coupling of$E$with leptons and$W$is defined by the normalization condition. Calculation of the$E$width and the production cross-sections agrees with HERA data for value of the triple$W$coupling constant$\lambda \simeq 0.5$. Isotopic relations for different channels are presented as a tool for checking the interpretation.Comment: 8 pages, latex, no figure