Article
Astronomy & Astrophysics
Jacob L. Bourjaily, Simon Caron-Huot
Summary: We have derived new recursion relations for the loop amplitude integrands of planar, maximally supersymmetric Yang-Mills theory in momentum-twistor space using unitarity-like cuts obtained via sequences of BCFW deformations.
Article
Agronomy
Ahmed E. A. Khalaf, Mohamed A. M. Eid, Kamal H. Ghallab, Sherif R. M. El-Areed, Ahmed A. M. Yassein, Mostafa M. Rady, Esmat F. Ali, Ali Majrashi
Summary: Through two crosses among three local varieties of wheat, five populations were used as parents for estimation of five types of gene action, with equations developed from algebraic solutions. Path analysis method showed that 1000-grain weight acted as a partial mediator between spike number and grain yield.
Article
Physics, Applied
Xiaodong Xu, Xiaowei Liu, Yufeng Zhang
Summary: This paper introduces a digital control system for a gyroscope, which includes amplitude control loop, phase control loop, and detection circuit. The system can ensure stable operation of the gyroscope by controlling vibration signal amplitude and phase locking accurately.
MODERN PHYSICS LETTERS B
(2021)
Article
Chemistry, Physical
Jiajun Hu, Diqing Wan, Yinglin Hu, Houbin Wang, Yinan Jiang, Yandan Xue, Lili Li
Summary: Twins were introduced into pure Mg for pre-deformation in this study, and the strain amplitude dependent damping behavior was investigated. A hysteresis loop was observed in the damping curve as the strain amplitude cycled. The results indicate a transition in damping behavior at a specific strain amplitude, with increased pre-strain leading to increased damping.
JOURNAL OF ALLOYS AND COMPOUNDS
(2021)
Article
Computer Science, Artificial Intelligence
Christian M. Dahl, Emil N. Sorensen
Summary: This study proposes a novel bootstrap procedure for time series data based on Generative Adversarial networks (GANs). The researchers demonstrate that GANs can learn the dynamics of common stationary time series processes and generate additional samples from the process. The study also compares the performance of GAN sampling and circular block bootstrapping using simulations.
Article
Neurosciences
Johannes L. Busch, Lucia K. Feldmann, Andrea A. Kuehn, Michael Rosenblum
Summary: A recent development in neuromodulation involves adapting stimulation parameters based on real-time tracking of prespecified biomarkers. To achieve this, precise estimation of signal phase and amplitude with minimal delay is essential for high temporal specificity in stimulation adjustment.
EXPERIMENTAL NEUROLOGY
(2022)
Article
Mathematics, Applied
Zhengwei Liu, William Norledge, Adrian Ocneanu
Summary: We study a discrete differentiation of piecewise-constant functions on the adjoint of the braid hyperplane arrangement and show that it is equivalent to the action of Lie elements on faces. The use of layered binary trees allows for the representation of Lie elements by antisymmetrized layered binary forests. The forest derivative of functions factorizes as external products of functions precisely if one restricts to functions satisfying the Steinmann relations.
JOURNAL OF PURE AND APPLIED ALGEBRA
(2023)
Article
Engineering, Mechanical
Xiaowei Tang, Fangyu Peng, Rong Yan, Zerun Zhu, Zepeng Li, Shihao Xin
Summary: The study investigates the impact of process damping on stability in the use of five-axis milling to process complex aerospace parts, proposing a method to identify a nonlinear process damping indentation coefficient. Results show that process damping significantly affects the distribution of critical cutting depth, with a notable relationship to tool orientation and frequency response function.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Marine
Zhen Wang, Jinsong Zhu, Zhitian Zhang
Summary: By using numerical, experimental, and field measurements, a large amount of data on vortex-induced vibration (VIV) of circular cylinders has been obtained. Machine learning (ML) models are developed in this study to predict the transverse VIV amplitude Y* and amplitude-velocity relations. Three ML techniques, including support vector regression with particle swarm optimization, extreme learning machine, and improved extreme learning machine combined with preprocessed least squares QR decomposition, are employed. The results demonstrate acceptable prediction accuracy for all algorithms, with the ELM-type algorithm performing the best.
Article
Physics, Particles & Fields
James T. Liu, Ruben Minasian
Summary: We computed the tree-level (HR3)-R-2 couplings of type II strings and found additional kinematical structures at tree level that are not present in the one-loop couplings. This has interesting implications for type II supersymmetry as well as SL(2, Z) duality in type IIB strings.
Article
Engineering, Electrical & Electronic
Xin Guo, Bo Yang, Cheng Li, Zhuoyue Liang, Yongchang Jiang
Summary: This article introduces an automatic amplitude control based measurement and control scheme for direct measurement of amplitude ratios of weakly coupled resonant systems. The feasibility and high-performance of the proposed scheme are demonstrated through experiments, showing accurate results and simplified signal processing for mode-localized sensors.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2021)
Article
Instruments & Instrumentation
Junying Chen, Fu Zhu, Mou Liu, Zhen Meng, Lin Xu
Summary: This paper proposes a method to improve the amplitude stability and frequency tracking ability of the drive control system for MEMS gyroscopes, and verifies the effectiveness of the method through simulation studies and tests on the ASIC platform.
Article
Computer Science, Information Systems
Shahla Faisal, Gerhard Tutz
Summary: The article discusses the use of multiple imputation methods to address missing values in medical research, particularly in high-dimensional data settings. The proposed method based on nearest neighbors successfully imputes missing values and performs well in simulated data comparisons.
INFORMATION SCIENCES
(2021)
Article
Clinical Neurology
Aecio Rubens Dias Pereira Filho
Summary: The study describes a technique for retracting abdominal structures by anterior approaches to the lumbar spine using Steinmann wires, which is necessary for surgical treatment of degenerative lumbar disc diseases. This technique involves small incisions for positioning modified Langenbeck retractors and Steinmann wires, providing good exposure of the lumbar discs for implanting appropriate cages to restore necessary height, lordosis, and sagittal balance. The described technique is safe, inexpensive, and reproducible, requiring simple and easily accessible instruments in most hospital complexes.
WORLD NEUROSURGERY
(2021)
Article
Computer Science, Artificial Intelligence
A. V. S. Swathi, V. V. S. S. S. Chakravarthy, M. Vamshi Krishna
Summary: This paper presents the synthesis of circular antenna arrays using novel metaheuristic techniques like the Social Group Optimization Algorithm and Modified SGOA, aiming to achieve radiation patterns with suppressed SLL and uniform beamwidth. The performance of various synthesis techniques like amplitude only, inter-element spacing only, and amplitude spacing is analyzed, with MGSOA and SGOA proving to be effective in accomplishing the objective. The inclusion of additional variables as an additional degree of freedom is shown to have advantages in the synthesis problem.
Article
Physics, Particles & Fields
Hjalte Frellesvig, Cristian Vergu, Matthias Volk, Matt von Hippel
Summary: The study focuses on genus-one curves that appear in Feynman integrals, analyzing their invariants through various methods and finding consistent geometry across different cases. This supports the notion that there exists an invariant concept of genus-one geometry independent of the computation method. The study also offers insights on interpreting previous results related to isogenies of these curves.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Michele Levi, Andrew J. McLeod, Matthew von Hippel
Summary: This study for the first time computes the (NLO)-L-3 gravitational quadratic-in-spin interactions at G(4) in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects. The result contributes at the 5PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. The study requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm
Summary: We observe and provide evidence for the duality between the three-gluon form factor of the chiral part of the stress-tensor multiplet and the six-gluon MHV amplitude in planar N = 4 super-Yang-Mills theory.
PHYSICAL REVIEW LETTERS
(2022)
Review
Physics, Multidisciplinary
Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey, Tristan McLoughlin, Samuel Abreu, Zvi Bern, N. Emil J. Bjerrum-Bohr, Johannes Bluemlein, Ruth Britto, John Joseph M. Carrasco, Dmitry Chicherin, Marco Chiodaroli, Poul H. Damgaard, Vittorio Del Duca, Lance J. Dixon, Daniele Dorigoni, Claude Duhr, Yvonne Geyer, Michael B. Green, Enrico Herrmann, Paul Heslop, Henrik Johansson, Gregory P. Korchemsky, David A. Kosower, Lionel Mason, Ricardo Monteiro, Donal O'Connell, Georgios Papathanasiou, Ludovic Plante, Jan Plefka, Andrea Puhm, Ana-Maria Raclariu, Radu Roiban, Carsten Schneider, Jaroslav Trnka, Pierre Vanhove, Congkao Wen, Chris D. White
Summary: This is an introduction to a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory, aiming to provide an overview of the field from basic aspects to current research and developments in 2022.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Review
Physics, Multidisciplinary
Vittorio Del Duca, Lance J. Dixon
Summary: This article reviews the Regge and multi-Regge limit of scattering amplitudes in gauge theory, with a focus on QCD and planar N=4 super-Yang-Mills theory. The large logarithms that arise in these limits are identified, and the progress towards resumming them, including next-to-next-to-leading logarithms for BFKL evolution in QCD and all-orders proposals in planar N=4 super-Yang-Mills theory, as well as the perturbative checks of those proposals, is discussed. The application of single-valued multiple polylogarithms to this important kinematical limit of particle scattering is also covered.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Particles & Fields
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm
Summary: In this paper, we compute the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops. We bootstrap the computation using boundary data from the form factor operator product expansion. By observing and employing new restrictions on pairs and triples of adjacent letters in the symbol, we obtain detailed information about the function space required to describe the form factor through eight loops. The numerical results provide strong evidence for a finite radius of convergence of perturbation theory. Our results are expected to give the highest weight part of the gg -> Hg and H -> ggg amplitudes in the heavy-top limit of QCD through eight loops. They also contribute to the recent discovery of a new antipodal duality between this form factor and a six-point amplitude in the same theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Emmet P. Byrne, Vittorio Del Duca, Lance J. Dixon, Einan Gardi, Jennifer M. Smillie
Summary: This study addresses the one-loop contribution of the two-gluon CEV in N=4 super Yang-Mills theory and finds that its dispersive part can be factorized into two-gluon CEVs. Although computed in a specific limit, these results capture the complexity of six-gluon amplitudes in general cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Benjamin Basso, Lance J. Dixon, Yu-Ting Liu, Georgios Papathanasiou
Summary: We use cluster algebras to classify the origin limits of maximally helicity violating multigluon scattering amplitudes in planar N = 4 super-Yang-Mills theory. By analyzing perturbative data and bootstrapping new data, we find evidence that the amplitudes become the exponential of a quadratic polynomial in the large logarithms. With input from the thermodynamic Bethe ansatz at strong coupling, we propose exact expressions for amplitudes with up to eight gluons in all origin limits, which are governed by the tilted cusp anomalous dimension evaluated at various tilt angles.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Lance J. Dixon, Oemer Guerdogan, Yu -Ting Liu, Andrew J. McLeod, Matthias Wilhelm
Summary: We derive the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar N = 4 super-Yang-Mills theory at two loops. The symbol involves only 34 letters and satisfies the extended Steinmann relations in all partially overlapping three-particle momentum channels. Furthermore, the remainder function for this form factor exhibits an antipodal self-duality that holds on a four-dimensional parity-preserving kinematic hypersurface. This self-duality implies the recently noticed antipodal duality between the three-particle form factor and the six-particle amplitude in this theory.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Lance J. Dixon, Yu-Ting Liu
Summary: This paper calculates the six-particle maximally-helicity-violating (MHV) amplitude in planar N = 4 super-Yang-Mills theory at eight loops using antipodal duality and the recently computed eight-loop three-point form factor. Antipodal duality maps the form factor symbol to the amplitude symbol on a two-dimensional parity-preserving surface. The amplitude successfully passes various tests, validating the usage of antipodal duality at eight loops.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Andreas Forum, Matt von Hippel
Summary: We have constructed a symbol and coaction for the l-loop sunrise family of integrals, both for equal-mass and generic-mass cases. These examples are the first concrete instances of symbols and coactions for integrals involving Calabi-Yau threefolds and higher. We have recast the differential equations satisfied by these integrals into a unipotent form in order to obtain a symbol of finite length. We have also augmented the integrals by including ratios of maximal cuts and tau;i in a natural way. We discuss the connection of this construction to symbols and coactions for multiple polylogarithms, elliptic multiple polylogarithms, and notions of transcendental weight.
SCIPOST PHYSICS CORE
(2023)
Article
Astronomy & Astrophysics
Holmfridur S. Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu
Summary: We introduce a method to derive constraints on the symbol of Feynman integrals by analyzing their asymptotic expansions near Landau loci. We illustrate this method on integrals with generic masses and prove a conjectured bound on the transcendental weight of polylogarithmic l-loop integrals. Additionally, we derive new constraints on the kinematic dependence of certain products of symbol letters near singular points.
Article
Physics, Particles & Fields
Lance J. Dixon, Yu-Ting Liu, Julian Miczajka
Summary: This paper computes all 2 -> 5 gluon scattering amplitudes in planar N = 4 super-Yang-Mills theory in the multi-Regge limit. The results are provided through four loops and to all logarithmic accuracy at leading power, represented in terms of single-valued multiple polylogarithms of two variables. By leveraging function-level results in the Steinmann cluster bootstrap, the authors find agreement with the recently conjectured all-order central emission vertex, providing a resummation of Fourier-Mellin residues into single-valued polylogarithms and an important cross-check between the bootstrap approach and the all-orders multi-Regge proposal.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)