A bstract We report a new calculation of the soft-gluon threshold resummation for Higgs boson pair production in dominant mode — gluon-gluon fusion up to next-to-next-to-next-to-leading logarithmic (N 3 LL) accuracy. After matching N LL order LO) QCD infinite top quark mass approximation, we show that central values inclusive cross sections are quite stable with respect LO, while conventional r...

We discuss the macroscopic behavior of superfluid $^{3}\mathrm{He}$ phase (pair density wave phase) with a spatially modulated pair recently observed experimentally. As an order parameter we assume, based on experimental results and Landau-type model, variation function coupled to plane waves in perpendicular confinement. result find only one true Goldstone mode orbit space coupling aspects spa...

To achieve better precision in describing contaminant dispersion in channels some authors resort to dividing a channel into two zones, fast and slow, leading to a pair of coupled evolution equations for cross-sectionally-averaged concentrations in the zones. We construct a two-zone model whose accuracy is guaranteed by centre manifold theory. The model leads to evolution equations that differ f...

We consider optimization of the linear stability of synchronized states between a pair of weakly coupled limit-cycle oscillators with cross coupling, where different components of state variables of the oscillators are allowed to interact. On the basis of the phase reduction theory, we derive the coupling matrix between different components of the oscillator states that maximizes the linear sta...

A low phase noise, low dissipated power and small sized Ka-band voltage-controlled oscillator (VCO), using dual cross-coupled pair configuration and capacitance-splitting technique is presented. The Ka-band VCO circuit uses 0.15 μm GaAs pHEMT technology. The VCO has low phase noise, of 116.36 dBc/Hz, at a 1 MHz offset and can be tuned from 30.5 to 31.22 GHz. The figure of merit (FOM) is -192.36...

In this correspondence, we compare the finite-precision requirements of the traditional cross-coupled (CC) and a low-power strength-reduced (SR) architectures. It is shown that the filter block (F block) coefficients in the SR architecture require 0.3 bits more than the corresponding block in the CC architecture. Similarly, the weight-update (WUD) block in the SR architecture is shown to requir...

An analysis of phase noise in differential crosscoupled inductance–capacitance (LC) oscillators is presented. The effect of tail current and tank power dissipation on the voltage amplitude is shown. Various noise sources in the complementary cross-coupled pair are identified, and their effect on phase noise is analyzed. The predictions are in good agreement with measurements over a large range ...

We provide a comprehensive experimental and theoretical study of incoherently coupled photorefractive spatial-soliton pairs in all three possible realizations: bright–bright, dark–dark, and dark–bright. We also show that when the total intensity of two coupled solitons is much lower than the effective dark irradiance, the coupled soliton pair is reduced to Manakov solitons. In all cases, mutual...