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Partial linear models have been widely used as flexible method for modelling linear components in conjunction with non-parametric ones. Despite the presence of the non-parametric part, the linear, parametric part can under certain…

Statistics Theory · Mathematics 2013-07-04 Patric Müller , Sara van de Geer

We present an efficient numerical method for computing Hamiltonian matrix elements between non-orthogonal Slater determinants, focusing on the most time-consuming component of the calculation that involves a sparse array. In the usual case…

Nuclear Theory · Physics 2012-10-22 Yutaka Utsuno , Noritaka Shimizu , Takaharu Otsuka , Takashi Abe

The general structure of infrared divergences in the scattering of massive particles is captured by the soft anomalous dimension matrix. The latter can be computed from a correlation function of multiple Wilson lines. The state-of-the-art…

High Energy Physics - Phenomenology · Physics 2023-10-17 Johannes M. Henn , Calum Milloy , Kai Yan

A Statistic Vectorial Complex Ray Model (SVCRM) is proposed for the scattering of a plane wave by a non-spherical dielectric particle in three dimensions. This method counts the complex amplitudes of all rays arriving in a tiny box in the…

Optics · Physics 2024-03-21 Ruiping Yang , Bing Wei , Claude Rozé , Saïd Idlahcen , Kuan Ffang Ren

Exotic dark matter together with the vacuum energy (associated with the cosmological constant) seem to dominate in the Universe. Thus its direct detection is central to particle physics and cosmology. Supersymmetry provides a natural dark…

Astrophysics · Physics 2009-11-07 J. D. Vergados

Direct detection experiments search for the interactions of Dark Matter (DM) particles with nuclei in terrestrial detectors. But if these interactions are sufficiently strong, DM particles may scatter in the Earth, affecting their…

High Energy Physics - Phenomenology · Physics 2017-01-13 Bradley J. Kavanagh , Riccardo Catena , Chris Kouvaris

The high computational expense of simulating light through ray-tracing in large, sparsely instrumented particle detectors such as IceCube and Antares is a critical outstanding problem in particle physics. When the detector is sparsely…

High Energy Physics - Experiment · Physics 2018-11-13 Gabriel H. Collin

While Dark Matter (DM) is typically assumed to interact only very weakly with the particles of the Standard Model, many direct detection experiments are currently exploring regions of parameter space where DM can have a large scattering…

High Energy Physics - Phenomenology · Physics 2025-12-18 Agustín Lantero-Barreda , Carlos Centeno-Lorca , Bradley J. Kavanagh , Núria Castello-Mor

This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed frequency). We study the orthogonality sampling method which…

Analysis of PDEs · Mathematics 2019-11-05 Isaac Harris , Dinh-Liem Nguyen

Considerable inroads have recently been made on algorithms to determine the sample potential from four-dimensional scanning transmission electron microscopy data from thick samples where multiple scattering cannot be neglected. This paper…

A butterfly-based fast direct integral equation solver for analyzing high-frequency scattering from two-dimensional objects is presented. The solver leverages a randomized butterfly scheme to compress blocks corresponding to near- and…

Numerical Analysis · Mathematics 2017-06-07 Yang Liu , Han Guo , Eric Michielssen

Dark matter particles can be captured by the sun with rates that depend on the dark matter mass and the DM-nucleon cross section. However, for masses below $\sim 3.3$ GeV, the captured dark matter particles evaporate, leading to an…

High Energy Physics - Phenomenology · Physics 2015-10-07 Chris Kouvaris

The anisotropic diffusion equation is imperative in understanding cosmic ray diffusion across the Galaxy, the heliosphere, and its interplay with the ambient magnetic field. This diffusion term contributes to the highly stiff nature of the…

High Energy Astrophysical Phenomena · Physics 2022-12-14 Pranab J. Deka , Lukas Einkemmer , Ralf Kissmann

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

Methodology · Statistics 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

A key strategy for the direct detection of sub-GeV dark matter is to search for small ionization signals. These can arise from dark matter-electron scattering or when the dark matter-nucleus scattering process is accompanied by a "Migdal"…

High Energy Physics - Phenomenology · Physics 2020-02-04 Rouven Essig , Josef Pradler , Mukul Sholapurkar , Tien-Tien Yu

We present an algorithm to reduce the computational effort for the multiplication of a given matrix with an unknown column vector. The algorithm decomposes the given matrix into a product of matrices whose entries are either zero or integer…

Information Theory · Computer Science 2020-02-28 Ralf R. Müller , Bernhard Gäde , Ali Bereyhi

What if the dark matter-nucleon scattering cross section is too small to be detected by direct detection experiments? It is well known in the literature that some interactions lead to dark matter-nucleon scattering cross sections that can…

High Energy Physics - Phenomenology · Physics 2021-10-19 Tarak Nath Maity , Farinaldo S Queiroz

Dark photon not only provides a portal linking dark sector particles and ordinary matter but also is a well-motivated dark matter candidate. We propose to detect the dark photon dark matter through the inverse Compton-like scattering…

High Energy Physics - Phenomenology · Physics 2022-04-06 Liangliang Su , Lei Wu , Bin Zhu

The WS time delay matrix relates a lossless and reciprocal system's scattering matrix to its frequency derivative, and enables the synthesis of modes that experience well-defined group delays when interacting with the system. The elements…

Computational Physics · Physics 2021-07-28 Utkarsh R. Patel , Eric Michielssen

We study the distribution of dark matter in the Draco dwarf spheroidal galaxy by modelling the moments of the line-of-sight velocity distribution of stars obtained from new velocity data of Wilkinson et al. The luminosity distribution is…

Astrophysics · Physics 2009-11-10 Ewa L. Lokas , Gary A. Mamon , Francisco Prada