scholarly journals Factorization in the model of unstable particles with continuous masses

Open Physics ◽  
2013 ◽  
Vol 11 (2) ◽  
Author(s):  
Vladimir Kuksa ◽  
Nikolay Volchanskiy
Keyword(s):  
Cross Sections ◽  
Factorization Method ◽  
Phenomenological Analysis ◽  
Specific Structure ◽  
Interacting Particles ◽  
Unstable Particles ◽  
Decay Widths ◽  
Intermediate Time ◽  
Exact Factorization

AbstractWe study processes with unstable particles in intermediate time-like states. It is shown that the amplitudes squared of such processes factor exactly in the framework of the model of unstable particles with continuous masses. Decay widths and cross sections can then be represented in a universal factorized form for an arbitrary set of interacting particles. This exact factorization is caused by specific structure of propagators in the model. We formulate the factorization method and perform a phenomenological analysis of the factorization effects. The factorization method considerably simplifies calculations while leading to compact and reasonable results.

scholarly journals FACTORIZED FORMULA FOR THE CROSS-SECTION OF TWO-PARTICLE SCATTERING

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4509-4516 ◽  
Author(s):  
V. I. KUKSA
Keyword(s):  
Cross Section ◽  
Intermediate State ◽  
Factorization Method ◽  
Phenomenological Analysis ◽  
Unstable Particle ◽  
Specific Structure ◽  
Particle Scattering ◽  
Unstable Particles ◽  
The Cross ◽  
Exact Factorization

We applied the factorization method to the processes of two-particle scattering with an unstable particle in the intermediate state. It was shown, that in the framework of this method, the cross-section can be represented in the universal factorized form for an arbitrary set of particles. An exact factorization is caused by a specific structure of unstable particles propagators. Phenomenological analysis of the factorization effect is performed.

scholarly journals FACTORIZATION EFFECTS IN A MODEL OF UNSTABLE PARTICLES

2010 ◽  
Vol 25 (10) ◽  
pp. 2049-2062 ◽  
Author(s):  
V. I. KUKSA ◽  
N. I. VOLCHANSKIY
Keyword(s):  
Decay Width ◽  
Cross Section ◽  
Intermediate State ◽  
Decay Chain ◽  
Arbitrary Spin ◽  
Specific Structure ◽  
Unstable Particles ◽  
Particle Decay ◽  
Intermediate States ◽  
Exact Factorization

The effects of factorization are considered within the framework of the model of unstable particles with a smeared mass. It is shown that two-particle cross-section and three-particle decay width can be described by the universal factorized formulae for an unstable particles of an arbitrary spin in an intermediate state. The exact factorization is caused by the specific structure of the model unstable-particle propagators. This result is generalized to complicated scattering and decay-chain processes with unstable particles in intermediate states. We analyze applicability of the method and evaluate its accuracy.

scholarly journals Discrete Velocity Boltzmann Model for Quasi-Incompressible Hydrodynamics

Mathematics ◽  
2021 ◽  
Vol 9 (9) ◽  
pp. 993
Author(s):  
Oleg Ilyin
Keyword(s):  
Cross Sections ◽  
Lattice Boltzmann ◽  
Present Model ◽  
Test Problems ◽  
Hydrodynamic Equations ◽  
Interacting Particles ◽  
Closed Expression ◽  
Discrete Velocity ◽  
H Theorem ◽  
Boltzmann Model

In this paper, we consider the development of the two-dimensional discrete velocity Boltzmann model on a nine-velocity lattice. Compared to the conventional lattice Boltzmann approach for the present model, the collision rules for the interacting particles are formulated explicitly. The collisions are tailored in such a way that mass, momentum and energy are conserved and the H-theorem is fulfilled. By applying the Chapman–Enskog expansion, we show that the model recovers quasi-incompressible hydrodynamic equations for small Mach number limit and we derive the closed expression for the viscosity, depending on the collision cross-sections. In addition, the numerical implementation of the model with the on-lattice streaming and local collision step is proposed. As test problems, the shear wave decay and Taylor–Green vortex are considered, and a comparison of the numerical simulations with the analytical solutions is presented.

scholarly journals MASS SHELL SMEARING EFFECTS IN TOP PAIR PRODUCTION

2012 ◽  
Vol 27 (13) ◽  
pp. 1250072 ◽  
Author(s):  
V. I. KUKSA ◽  
R. S. PASECHNIK ◽  
D. E. VLASENKO
Keyword(s):  
Pair Production ◽  
Cross Sections ◽  
Top Quark ◽  
Preliminary Analysis ◽  
Mass Shell ◽  
Threshold Region ◽  
Suggested Approach ◽  
Unstable Particles ◽  
Higher Order Corrections ◽  
Good Agreement

The top quark pair production and decay are considered in the framework of the smeared-mass unstable particles model. The results for total and differential cross-sections in vicinity of [Formula: see text] threshold are in good agreement with the previous ones in the literature. The strategy of calculations of the higher order corrections in the framework of the model is discussed. Suggested approach significantly simplifies calculations compared to the standard perturbative one and can serve as a convenient tool for fast and precise preliminary analysis of processes involving intermediate timelike top quark exchanges in the near-threshold region.

scholarly journals Excited Muon Searches at the FCC-Based Muon-Hadron Colliders

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
A. Caliskan ◽  
S. O. Kara ◽  
A. Ozansoy
Keyword(s):  
Transverse Momentum ◽  
Cross Sections ◽  
Production Cross ◽  
Muon Decay ◽  
Hadron Colliders ◽  
Final State ◽  
Decay Widths ◽  
Muon Production ◽  
Pseudorapidity Distributions ◽  
Excited Muons

We study the excited muon production at the FCC-based muon-hadron colliders. We give the excited muon decay widths and production cross-sections. We deal with the μp→μ⋆q→μγq process and plot the transverse momentum and normalized pseudorapidity distributions of final state particles to define the kinematical cuts best suited for discovery. By using these cuts, we get the mass limits for excited muons. It is shown that the discovery limits obtained on the mass of μ⋆ are 2.2, 5.8, and 7.5 TeV for muon energies of 63, 750, and 1500 GeV, respectively.

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