Modified top quark condensation model with the extra heavy fermion, the 125125 GeV Pseudo - Goldstone boson, and the additional heavy scalar bosons

We discuss the modified top quark condensation model proposed in \cite{VZ2015}. This construction was inspired by the top - seesaw scenario, in which the extra heavy fermion $\chi$ is added that may be paired with the top quark. Besides, this model incorporates the ideas of the Little Higgs scenario, in which the $125$ GeV scalar particle appears as a Pseudo - Goldstone boson. This model admits (in addition to the $125$ GeV scalar boson $H$) the heavier scalar excitation $H^\prime$. We consider the region of parameters, where its mass is $M_{H^\prime} \sim 1$ TeV, the width of $H^\prime$ is $\Gamma_{H^\prime} \sim 0.3 M_{H^\prime}$, while the mass of the heavy fermion is $m_\chi \sim 1$ TeV. We find that in this model the value of the cross - section $\sigma_{pp \to H^\prime + X \to \gamma+\gamma + X}$ for $\sqrt{s}=13$ TeV is essentially smaller than the present experimental upper bound. Besides, we find, that for the chosen values of parameters there should exist the CP - even scalar boson with mass $\approx 2 m_\chi$ and very small width. In addition, the model predicts the existence of the extra neutral CP even scalar boson and the charged scalar boson with masses of the order of $1$ TeV.Comment: Latex, 20 page

Anomalous transport phenomena and momentum space topology

Using the derivative expansion applied to the Wigner transform of the two - point Green function this is possible to derive the response of various nondissipative currents to the external gauge fields. The corresponding currents are proportional to the momentum space topological invariants. This allows to analyse systematically various anomalous transport phenomena including the anomalous quantum Hall effect and the chiral separation effect. We discuss the application of this methodology both to the solid state physics and to the high energy physics.Comment: Latex, 8 pages, proceedings of the XXth International Seminar "Quarks-2018" (27 May 2018 - 2 June 2018, Valday, Russia

Interleukin-2 receptor β chain as a possible target for low doses of mafosfamide

The 7-day cytotoxic lymphocytes (CTL) induced in mixed lymphocyte culture express only the chain of the interleukin-2 receptor (IL-2R). In the present study this fact has been confirmed in a murine semi-allogeneic system. The ability of low doses of mafosfamide (Mf) to affect IL-2-induced CTL proliferation has been demonstrated. It was also shown that IL-2 activated resting suppressor cells. The pretreatment of the suppressor cells with either monoclonal antibodies (mAbs) against the p75 chain of IL-2R, or with Mf abolished the suppressive effect of these cells. No restoration of the proliferative response occurred when the anti-IL-2Rα mAb had been used. Flow cytometry analysis of 7-day CTL was carried out with mAbs against the α and β chains of IL-2R. CTL treatment with Mf inhibited anti-IL-2Rβ mAb binding. It may be assumed that the anti-proliferative effects of Mf which have been demonstrated in this paper, were a result of blocking the IL-2R β chain