Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave

Khachatryan, A. Kh.; Khachatryan, Kh. A.

doi:10.1134/s0040577916110064

Cited by 20 publications

(10 citation statements)

References 5 publications

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“…Measurements of single top quark production cross sections were also considered in the combination. The list of experimental measurements on the t-, W t-, and schannel is presented in Table III for Tevatron [17,18] and for the LHC at different center-of-mass energies [19][20][21][22][23][24][25][26][27]. These results are consistent with the SM predictions [28][29][30][31][32][33][34][35].…”

Section: Current Measurements and High-luminosity Extrapolationsupporting

confidence: 72%

Top quark anomalous couplings at the high-luminosity phase of the LHC

2019

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The combination of the latest and most precise measurements of several top quark properties is presented in this paper in order to establish allowed regions on anomalous contributions to the Lorentz structure of the W tb vertex. These measurements include single top production cross sections, W boson helicity fractions and forward-backward asymmetries, both at Tevatron and at the Large Hadron Collider, up to a center-of-mass energy of 13 TeV. The results obtained at 95% Confidence Level for the top quark anomalous couplings are compared with the limits extracted from a combination that includes the expected measurements at the future High-Luminosity run of the Large Hadron Collider.

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Section: Current Measurements and High-luminosity Extrapolationsupporting

confidence: 72%

Top quark anomalous couplings at the high-luminosity phase of the LHC

2019

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“…Indeed, the monotonicity of the zero approximation immediately follows from (6). Assume that (9) holds for some positive integer n. Then taking into account the conditions (6), a 1 ) and 2), from (7) for arbitrary x 1 , x 1 ∈ R + , x 1 > x 1 we will have…”

Section: Summable Solution Of a Linear Inhomogeneous Auxiliary Integr...mentioning

confidence: 98%

“…First of all, we should single out the problems of mathematical physics and mathematical biology. So, very important in practical terms is a special case of the equation when ρ j (u, v) = u + v, j = 1, 2, (u, v) ∈ R + 2 with specific representations of the kernel P and the nonlinearity G. Such equations arise in the dynamical theory of p-adic open-closed strings for the scalar field of tachyons, in the mathematical theory of space-time (geographical) propagation of pandemics, in the kinetic theory of gases, in the theory of radiative transfer in inhomogeneous media [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity

Khachatryan¹,

Petrosyan²,

Andriyan³

2023

BASM

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In the paper we study a class of two-dimensional integral equations on a quarter-plane with monotone nonlinearity and substochastic kernel. With specific representations of the kernel and nonlinearity, an equation of this kind arises in various fields of natural science. In particular, such equations occur in the dynamical theory of $p$-adic open-closed strings for the scalar field of tachyons, in the mathematical theory of the geographical spread of a pandemic, in the kinetic theory of gases, and in the theory of radiative transfer in inhomogeneous media. \newline We prove constructive theorems on the existence of a nontrivial nonnegative and bounded solution. For one important particular case, the existence of a one-parameter family of nonnegative and bounded solutions is also established. Moreover, the asymptotic behavior at infinity of each solution from the given family os studied. At the end of the paper, specific particular examples (of an applied nature) of the kernel and nonlinearity that satisfy all the conditions of the proven statements are given.

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“…At the LHC, the smallest single top-quark production cross section is expected in the s-channel. First evidence for this process has been reported in an ATLAS analysis at √ s = 8 TeV using a sophisticated MEM technique (see Section 3.4.3) [253], the corresponding CMS search shows a slightly smaller significance [254].…”

Section: (Right)mentioning

confidence: 98%

Top-quark physics: Status and prospects

Husemann

2017

Progress in Particle and Nuclear Physics

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After the discovery of the top quark more than 20 years ago, its properties have been studied in great detail both in production and in decay. Increasingly sophisticated experimental results from the Fermilab Tevatron and from Run 1 and Run 2 of the LHC at CERN are complemented by very precise theoretical predictions in the framework of the standard model of particle physics and beyond. In this article the current status of top-quark physics is reviewed, focusing on experimental results, and a perspective of top-quark physics at the LHC and at future colliders is given.

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Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave

Cited by 20 publications

References 5 publications

Top quark anomalous couplings at the high-luminosity phase of the LHC

Top quark anomalous couplings at the high-luminosity phase of the LHC

On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity

Top-quark physics: Status and prospects

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