We discuss new physics phenomenology of hidden scalar (S), pseudoscalar (P), vector (V) and axial-vector (A) particles coupled to nucleons and leptons, which could give contributions to proton charge radius, (g−2)μ, ...
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We discuss new physics phenomenology of hidden scalar (S), pseudoscalar (P), vector (V) and axial-vector (A) particles coupled to nucleons and leptons, which could give contributions to proton charge radius, (g−2)μ, Be8−He4 anomaly and electric dipole moment (EDM) of Standard Model (SM) particles. In particular, we estimate sensitivity of NA64μ experiment to observe muon missing energy events involving hidden scalar and vector particles. That analysis is based on geant4 Monte Carlo simulation of the signal process of muon scattering off target nuclei μN→μNS(V) followed by invisible boson decay into dark matter (DM) particles, S(V)→χχ. The existence of light sub-GeV bosons could possibly explain the muon (g−2) anomaly observed. We also summarize existing bounds on ATOMKI X17(JP=0−,1±) boson coupling with neutron, proton, and electron. We implement these constraints to estimate the contribution of P, V. and A particles to proton charge radius via direct 1-loop calculation of Sachs form factors. The analysis reveals the corresponding contribution is negligible. We also calculate bounds on dark axion portal couplings of dimension-five operators, which contribute to the EDMs of leptons and neutron.
Automated timetabling is a challenging area in the timetabling and scheduling theory and practice, intensively addressed in research papers in the last two decades. There are three main classes of problems, which are ...
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We analyze contributions to the electric dipole (EDM) and Schiff (SFM) moments of deuteron induced by the CP-violating three-pseudoscalar meson couplings using phenomenological Lagrangian approach involving nucleons a...
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Propositional satisfiability (SAT) is at the nucleus of state-of-the-art approaches to a variety of computationally hard problems, one of which is cryptanalysis. Moreover, a number of practical applications of SAT can...
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The paper deals with the problem of optimal packing of two sets of circles (2-D spheres) into a simply connected container. The number of circles is given. The radii of these circles are equal within each set, but, ge...
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The paper deals with the problem of optimal packing of two sets of circles (2-D spheres) into a simply connected container. The number of circles is given. The radii of these circles are equal within each set, but, generally speaking, they differ between sets. There are two different statements of a such problem. The simplest one is when the circles of a larger radius are located first, and then smaller circles are packed into the gaps. Solving of a such problem, in fact, reduces to a two-fold solution of the equal circles packing problem. However, the procedure is complicated by the fact that in the second solution the container will be a multiply connected set. We consider a more complex formulation: it is required to maximize the radii of the circles when their ratio is fixed. The circle packing problem is usually studied in the case when the distance between points is Euclidean and even then belongs to the class of NP-hard problems. We assume that the distance is determined by means of some special metric, which, generally speaking, is not Euclidean. The special numerical algorithm is suggested and implemented. It based on optical-geometric approach, which is developed by the authors in recent years and previously used only for packing circles of equal radius. The results of computational experiment are presented and discussed.
We calculate the tensor meson exchange contribution to the interaction operator of muon and proton, which is determined by the tensor meson coupling with two photon state. For the construction of transition form facto...
We calculate the tensor meson exchange contribution to the interaction operator of muon and proton, which is determined by the tensor meson coupling with two photon state. For the construction of transition form factor T → γγ we use the monopole parametrization over photon four-momenta and experimental data on the decay width ΓTγγ. It is shown that tensor meson f2(1270) exchange gives essential contribution to the Lamb shift in muonic hydrogen ΔΕLs (2P – 2S) which should be taken into account for a comparison with precise experimental data.
The multidimensional nonlinear regression-tensor model is investigated in the substantiation of necessary and sufficient conditions for the optimal multi-factorial process of precision calibration of the parameters of...
The multidimensional nonlinear regression-tensor model is investigated in the substantiation of necessary and sufficient conditions for the optimal multi-factorial process of precision calibration of the parameters of the electromagnetic radiation source in the geostationary orbit (including the large-scale GLONASS system). A robust-adaptive strategy of a posteriori formation of the target functional of electromagnetic observability of a weighted-distributed signal in an established complex of stationary ground points is proposed on the basis of observations of this signal, made with a tolerance.
We discuss constraints on soft CP-violating couplings of axion-like particles (ALPs) with photon and fermions by using data on electric dipole moments (EDMs) of Standard Model (SM) particles. In particular, we derive ...
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The paper raises an optimal impulsive control problem with trajectories of bounded variation described by a nonsmooth measure differential equation. The addressed singular problem of dynamic optimization can be equiva...
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This paper addresses the problems of fractional programming which data is given by d.c. functions. Such problems are, in general, nonconvex (with numerous local extrema). We develop an efficient global search method f...
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