The studies on $$Z \rightarrow \Upsilon (1S)+g+g$$ at the next-to-leading-order QCD accuracy

Abstract

In this paper, we carry out the next-to-leading-order (NLO) studies on Z → Υ(1S)+g +g via the color-singlet (CS) bb state. We find the newly calculated NLO QCD corrections to this process can significantly influence its leading-order (LO) results, and greatly improve the dependence on the renormalization scale. By including the considerable feeddown contributions, the branching ratio B Z→Υ(1S)+g+g is predicted to be (0.56 ∼ 0.95) × 10 −6 , which can reach up to 19% ∼ 31% of the LO predictions given by the CS dominant process Z → Υ(1S)+b+b. Moreover, Z → Υ(1S)+g +g also seriously affect the CS predictions on the Υ(1S) energy distributions, especially when z is relatively small. In summary, for the inclusive Υ(1S) productions in Z decay, besides Z → Υ(1S) + b +b, the gluon radiation process Z → Υ(1S) + g + g can provide indispensable contributions as well.

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“…MPa of gaseous nitrogen and 35 MPa of gaseous hydrogen. The tests were performed by using Hycomat test bench [9] developed by Pprime institute. It consists of an autoclave assembled to a servo-hydraulic machine, which has a capacity to perform mechanical tests under a maximum gas pressure of 40 MPa at the highest temperature of 150 ℃ (423 K).…”

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“…The charge/discharge voltage profiles at various current densities of LFV-GC are also provided. As shown in Figure S9 in the Supporting Information, a constant voltage charge step was followed after the constant current charge step to eliminate the polarization, [16,18,45] which provides a reversible capacity as well. More intriguingly, the discharge potential plateaus almost disappear, and the plateau capacity is transformed into sloping capacity when the current density increases to 5 A g −1 , showing a lithium storage behavior similar to those controlled by surface, as in supercapacitors.…”

“…[8][9][10] Nevertheless, the limited diffusion kinetics of Li + along the preferential [010] channel and the poor electronic conductivity are primary problems impeding its applications in EVs; [11][12][13] therefore, efficient strategies are necessary to facilitate Li + migration and electron transfer. To date, various strategies have been developed to improve its electrochemical performance, including reducing the particle size, [14,15] doping with alien ions, [16][17][18] and coating with electronically or ionically conductive layers. [19][20][21] Another cathode material for Li-ion batteries, monoclinic Li 3 V 2 (PO 4 ) 3 (LVP) as a lithium super ion conductor with large 3D open frameworks, is also used to modify LFP, resulting in enhanced electrochemical performances for its much higher Li-ion diffusivity and working potentials.…”

Encoding of matrix product states into quantum circuits of one- and two-qubit gates

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“…MPS can efficiently describe the ground states and (purified) thermal states of one-dimensional (1D) gapped systems [8][9][10][11][12]. It has also been widely and successfully applied to other areas including statistic physics [13], non-equilibrium quantum physics [9,[14][15][16][17], field theories [18][19][20][21][22][23], machine learning [24][25][26][27][28], and so on.…”