arXiv subjects
Publications and source records attributed to M. V. Chizhov.
The semileptonic kaon decays $K_{l2γ}$ and $K_{l3}$ are considered. We use the most general forms of the matrix elements for these decays. Additional terms could arise as a result of new tensor interactions between quarks and leptons. Such terms have been detected in a recent experiments. The high precision experiments at DA$Φ$NE may be ideal to confirm these results.
The classical dynamics of antisymmetric second-rank tensor matter fields is analyzed. The conformally invariant action for the tensor field leads to a positive-definite hamiltonian on the class of the solutions that are bounded at the time infinity (plane waves). Only the longitudinal waves contribute to the energy and momentum. The helicity proves to be equal to zero.
The minimal standard electroweak model yields approximately half the observed value of the $K_L$-$K_S$ mass difference. Antisymmetric tensor fields incorporated into the standard model can provide the rest $0.5\times(Δm_{LS})_{\exp}$. The effective lepton--lepton, quark--lepton and quark--quark tensor interactions induced by the charged tensor particles are presented.
The most general form of the hamiltonian for the muon decay is presented. We assume that it arises as a result of the exchange of intermediate bosons with a momentum $q$ and naturally should depend on this momentum. That allows us to introduce two additional coupling constants for the tensor interactions which give rise to new parameters in the energy spectrum of positrons. The experimental consequences of such a generalization are discussed.
We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The quantization of the free fields is analyzed and the one-loop renormalization-group functions are evaluated. Transverse free waves are found to convey no energy. The coupling constant of the axial-vector abelian gauge interaction exhibits asymptotically free ultraviolet behavior, while the self-couplings of the tensor fields do not asymptotically diminish.