We compute systematically for the planar double box Feynman integral relevant to top pair production with a closed top loop the Laurent expansion in the dimensional regularization parameter ϵ. This is done by transforming the system of differential equations for this integral and all its sub-topologies to a form linear in ϵ, where the ϵ^{0} part is strictly lower triangular. This system is easily solved order by order in the dimensional regularization parameter ϵ. This is an example of an elliptic multiscale integral involving several elliptic subtopologies. Our methods are applicable to similar problems.
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http://dx.doi.org/10.1103/PhysRevLett.121.142001 | DOI Listing |
Heliyon
July 2024
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh.
Qualitative analysis in mathematical modeling has become an important research area within the broad domain of nonlinear sciences. In the realm of qualitative analysis, the bifurcation method is one of the significant approaches for studying the structure of orbits in nonlinear dynamical systems. To apply the bifurcation method to the (2 + 1)-dimensional double-chain Deoxyribonucleic Acid system with beta derivative, the bifurcations of phase portraits and chaotic behaviors, combined with sensitivity and multi-stability analysis of this system, are examined.
View Article and Find Full Text PDFAppl Radiat Isot
January 2025
School of Physics and Electronic Engineering, Sichuan University of Science and Engineering, Yibin, 644005, China.
The three-dimensional radiation field is an important database reflecting the radioactivity distribution in a nuclear facility. It is of great significance to accurately and quickly grasp the radiation dose field distribution to implement radiation protection. Presently, majority of radiation field reconstruction algorithms concentrate on two-dimensional reconstruction and can only measure on a regular grid.
View Article and Find Full Text PDFChemistry
January 2025
Southern University of Science and Technology, Chemistry, 1088 Xueyuan Blvd., Xili, Nanshan District, 518055, Shenzhen, CHINA.
Poly(p-phenylenevinylene) (PPV) is a classic semiconducting π-conjugated polymers with outstanding optical and electronic properties, which shows important applications in the fields of optoelectronic, such as organic light-emitting diodes (OLEDs), organic solar cells (OSCs), and organic field-effect transistors (OFETs). In the working process of the device, the microstate of PPV decides its property. Therefore, it is significant to achieve ordered morphologies based on PPV at micro scale.
View Article and Find Full Text PDFSci Rep
January 2025
Preparatory Institute for Engineering Studies of Kairouan, (I.P.E.I.K) University of Kairouan, Kairouan, Tunisia.
We present a comprehensive analysis of the optical attributes of graphene sheets with charge carriers residing on a curved substrate. In particular, we focus on the fascinating case of Beltrami geometry and provide an explicit parametrization for this curved two-dimensional surface. By employing the massless Dirac description that is characteristic of graphene, we investigate the impact of the curved geometry on the optical properties within the sample.
View Article and Find Full Text PDFPolymers (Basel)
December 2024
Department of Prosthetic Dental Sciences, College of Dentistry, Jazan University, Jazan 45142, Saudi Arabia.
Interocclusal records (IORs) created with bite registration materials (BRMs) accurately reflect the opposing teeth's physiological and anatomical associations in digital and traditional dentistry. This study assessed the linear dimensional accuracy of vinyl polysiloxane-based scannable and transparent BRMs over obligatory clinical time intervals (1, 24, 72, and 168 h/s). A total of 3 scannable [Flexitime Bite, Occlufast CAD, Virtual CADBite] and 3 transparent [Maxill Bite, Charmflex Bite, Defend ClearBite] VPS-based BRMs were divided into 28 subgroups by time interval: 1, 24, 72, and 168 h/s.
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