Absence Of Cuts Research Articles

ТЕХНОЛОГІЯ БЕЗШОВНОГО ВИРОБНИЦТВА ОДЯГУ У ПІДГОТОВЦІ МАЙБУТНІХ ПЕДАГОГІВ ПРОФЕСІЙНОГО НАВЧАННЯ ШВЕЙНОЇ ГАЛУЗІ

The article defines that the Industry 4.0 development paradigm light industry should develop in the directions of using information and communication technologies (ICT). The active development of artificial intelligence presupposes the introduction into the educational process of training future teachers of professional training of modern technologies for manufacturing clothes, in particular seamless. It has been found out that clothes made on special equipment and devoid of traditional side seams, or even any manufacturing and assembly seams, are called seamless. It has been proven that the creation of such textile products is a real revolution in clothing production, a concept that combines various techniques and processes, which are not always simple and elementary. It has been proven that the seamless technology of clothing production is one of the most promising directions in light industry. A variety of materials are used for the production of seamless clothing, mainly artificial and synthetic polymer. It has been proven that the range of products made using seamless clothing technology is quite significant, namely: clothing for swimming, sports and active recreation, thermal clothing, underwear and children's underwear, protective medical clothing, shoes, gloves, etc. In the research process, it has been proven that seamless clothing is a grandiose result of innovative developments and modern achievements, which has a considerable number of quality advantages: ease of use, invisibility under clothing, absence of cuts and folds on the body, perfect fit, slimming effect, freedom of movement, flawless permeability air and moisture, high quality (does not stretch and does not fray), affordable price. It was determined that with the help of a wide selection of innovative equipment, it is possible to solve the problems of modern sewing factories in the production of seamless clothing. It was found that special tapes are used to seal the seams, which are heated by a stream of hot air and pressed with a roller to the seam, welding it with a fabric cover. Control of machines for seamless connection is carried out using a touch screen. The entire workflow can be developed and saved as process parameters, setting temperature, pressure and welding speed.

W boson polarization in vector boson scattering at the LHC

Measuring the scattering of longitudinally-polarized vector bosons represents a fundamental test of ElectroWeak Symmetry Breaking.In addition to the challenges provided by low rates and large backgrounds, there are conceptual issues which need to be clarified for the definition of a suitable signal. Since vector bosons are unstable and can only be observed through their decay products, the polarization states interfere among themselves. Moreover, already at tree level, there are diagrams which cannot be interpreted as production times decay of EW bosons but are necessary for gauge invariance.We discuss a possible way to define a cross section for polarized W ’s, dropping all non resonant diagrams, and projecting on shell the resonant ones, thus preserving gauge invariance. In most cases, the sum of polarized distributions reproduces the full results. In the absence of cuts, the ratios of the polarized cross sections to the full one agree with the results of a standard projection on Legendre polynomials. While the latter cannot be employed in a realistic environment, a comparison of the data with the shapes of the angular distributions for polarized vector bosons allows the extraction of the polarization fractions in the presence of selection cuts on the charged leptons.

W and Z polarization effects in hadronic collisions.

A Monte Carlo study of the polar and azimuthal angular distributions of the lepton pair arising from the decay of a $W$ or $Z$ boson produced at high transverse momentum in hadronic collisions is presented. In the absence of cuts on the final state leptons, the lepton angular distribution in the gauge boson rest frame is determined by the gauge boson polarization. Numerical results for the lepton angular distributions in the Collins--Soper frame with acceptance cuts and energy resolution smearing applied to the leptons are presented. In the presence of cuts, the lepton angular distributions are dominated by kinematic effects rather than polarization effects, however, some polarization effects are still observable on top of the kinematic effects. Polarization effects are highlighted when the experimental distributions are divided by the Monte Carlo distributions obtained using isotropic gauge boson decay.

Derivation of a Veneziano Series from the Regge Representation

We start with the familiar Watson-Sommerfeld formula for an amplitude with an infinite sequence of parallel Regge trajectories and an arbitrary set of physical residues. This input is supplemented by assuming two features of all Veneziano models, namely, the narrow-resonance approximation and the absence of cuts in the Mandelstam variables. With this input we show that the scattering amplitude can always be expressed as an infinite series of Veneziano-like terms. The coefficients of this series are uniquely and explicitly expressed in terms of the residues of the original Regge poles with which we started. Each coefficient is expressed in terms of a power of the forward difference operator acting on a well-defined, though complicated, linear combination of the Regge residues. The convergence of this series is studied in detail, and sufficient conditions are states that guarantee absolute convergence away from the poles. These conditions are stated in terms of bounds on the growth in $s$ and in the sequence index $n$ of certain linear combinations of the Regge residues. This is the only input we require in addition to the usual Regge input supplemented by the narrow-resonance approximation and the absence of branch cuts. Duality is not taken as an input; however, we only deal with a fully crossing-symmetric case. The fact that we start with the physical Regge formula guarantees that our Veneziano series has no ghosts as long as the $\ensuremath{\beta}'\mathrm{s}$ we use to define the coefficients are physical. A direct check of this fact is given. Having an explicit expression for the coefficients of the series, we also investigate the conditions that will lead to dominance by the primary term. These turn out to give a form for the leading residue which is almost identical to the one that is used in practical fits to the high-energy data. In addition, it turns out that one has to choose the scale that determines the onset of Regge behavior, ${s}_{0}$, to be equal to the inverse of the slope of the Regge trajectory. This again is close to the value of ${s}_{0}$ used in practice.

Branch Points, Fixed Poles, and Falling Trajectories in the ComplexJPlane

By means of the $\frac{N}{D}$ equations, analytically continued in complex angular momentum, we consider the details of the mechanism by which cuts in the angular-momentum plane eliminate Gribov-Pomeranchuk singularities. The implications of the two-body unitarity requirement are investigated. A fixed $l$-plane pole in the signatured partial-wave amplitude is shown to exist where the first Gribov-Pomeranchuk singularity would be expected in the absence of cuts. It is also shown in this case that moving (Regge) poles are not asymptotic to the position of the fixed pole.