Colour chiral solitons in low energy QCD

We derive an effective colour chiral action with a background gauge field. The action describes configurations of soliton-skyrmion type. Kinetic term constant $f_0^2$, analogue of $f_\pi ^2$, is a phenomenological dimensional parameter of the model; $d=4$ terms are unique up to the choice of background gauge field. The case of SU(2) colour group is discussed in detail. We study an isolated configuration, i.e. a configuration in a background field which is the vacuum field forming the gluon condensate. Thereby we introduce the condensate energy as a second parameter and scale. Compared with the case of flavor skyrmion configuration, the colour chiral action contains a piece with slowly decreasing terms coming from the background vacuum field. Asymptotic behaviour at large distances shows exponential decrease for the case of chromomagnetic condensates and periodic otherwise . This defines a stability region for a colour soliton. The mass is given by the positive definite integrand for a soliton of purely bosonization origin. Contribution from the Yang-Mills action of the background colour field has the sign opposite to bosonization part. The baryon number current is not influenced by the background field and leads to the standard baryon number $B=N_F/N_C$ . For $B=1/3$ we evaluated the estimate from above $M\approx 460$ $Mev$ .Comment: 12 pages, Latex, Discussion of the confining potential between colour solitons and journal reference are adde

Analytical Approximation of Periodic Ateb-Functions via Elementary Functions

Abstract We consider the problem of analytic approximation of periodic Ateb- functions, widely used in nonlinear dynamics. Ateb-functions are the result of the following procedure. Initial ODE contains only the inertial and non-linear terms. It can be integrated, which leads to an implicit solution. To obtain explicit solutions we are led to necessity to inverse incomplete Beta functions. As a result of this inversion we obtain the special Atebfunctions. Their properties are well known, but the use of Ateb- functions is difficult in practice. In this regard, the problem arises of the Ateb functions approximation by smooth elementary functions. For this purpose in the present article the asymptotic method is used with a quantity 1 / (a + 1) as a small parameter, were a > 1 — exponent of nonlinearity. We also investigated the analytical approximation of Ate-b functions' period. Comparison of simulation results, obtained by the approximate expression, with the results of numerical solution of the corresponding Cauchy problem shows their sufficient accuracy for practical purposes, even for a = 1

Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics

The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production

Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics

The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production

Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics

The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production