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We consider the general problem of derivation of the Feynman rules for the matrix elements in momentum representation from the given Lagrangian in coordinate space invariant under the transformation of some gauge group. LanHEP package…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. V. Semenov

We provide software with a graphical user interface to calculate the phenomenology of a wide class of dark energy models featuring multiple scalar fields. The user chooses a subclass of models and, if desired, initial conditions, or else a…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-10 Kyle A. Hinton , Adam Becker , Dragan Huterer

We have developed a Mathematica package capable of performing gamma-matrix algebra in arbitrary (integer) dimensions. As an application we can compute Fierz transformations.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Gran

In the generalized minimal supergravity (GmSUGRA) scenario, we systematically study the supersymmetry breaking scalar masses, Standard Model fermion Yukawa coupling terms, and trilinear soft terms in SU(5) models with the Higgs fields in…

High Energy Physics - Phenomenology · Physics 2014-11-21 Csaba Balazs , Tianjun Li , Dimitri V. Nanopoulos , Fei Wang

In these introductory lectures, we review the theoretical tools used in constructing supersymmetric field theories and their application to physical models. We first introduce the technology of two-component spinors, which is convenient for…

High Energy Physics - Phenomenology · Physics 2022-05-20 Howard E. Haber , Laurel Stephenson Haskins

The generic supersymmetric standard model is a model built from a supersymmetrized standard model field spectrum the gauge symmetries only. The popular minimal supersymmetric standard model differs from the generic version in having…

High Energy Physics - Phenomenology · Physics 2007-05-23 Otto C. W. Kong

The surge of massive antenna arrays in wireless networks calls for the adoption of analog/hybrid array solutions, where multiple antenna elements are driven by a common radio front end to form a beam along a specific angle in order to…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Silvio Mandelli , Marcus Henninger , Jinfeng Du

Variational inequalities are a broad formalism that encompasses a vast number of applications. Motivated by applications in machine learning and beyond, stochastic methods are of great importance. In this paper we consider the problem of…

Optimization and Control · Mathematics 2023-09-26 Aleksandr Beznosikov , Alexander Gasnikov

The new multipurpose event-generation framework SHERPA, acronym for Simulation for High-Energy Reactions of PArticles, is presented. It is entirely written in the object-oriented programming language C++. In its current form, it is able to…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Gleisberg , S. Hoeche , F. Krauss , A. Schaelicke , S. Schumann , J. Winter

With the large amounts of spectroscopic data available today and the very large surveys to come (e.g. Gaia), the need for automatic data analysis software is unquestionable. We thus developed an automatic spectra analysis program for the…

Astrophysics of Galaxies · Physics 2015-06-03 Helene Posbic , David Katz , Elisabetta Caffau , Piercarlo Bonifacio , Luca Sbordone , Ana Gomez , Frederic Arenou

We present a SageMath package for calculating elliptic genera of homogeneous spaces and their complete intersections. This includes the calculation of the basis of weak Jacobi forms, Chern numbers of homogeneous spaces and their complete…

Algebraic Geometry · Mathematics 2023-06-22 Kenta Kobayashi

We formulate the Lagrangian perturbation theory of galaxy intrinsic alignments and compute the resulting auto and cross power spectra of galaxy shapes, densities and matter to 1-loop order. Our model represents a consistent effective-theory…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-03 Shi-Fan Chen , Nickolas Kokron

DRalgo is an algorithmic implementation that constructs an effective, dimensionally reduced, high-temperature field theory for generic models. The corresponding Mathematica package automatically performs the matching to next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-04-26 Andreas Ekstedt , Philipp Schicho , Tuomas V. I. Tenkanen

An introduction to the most important concepts in the subject of supersymmetric unified theories is presented. The emphasis is on the practical aspects leading to state-of-the-art calculations in this renascent subject. The topics covered…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Lopez

We introduce the MathGR package, written in Mathematica. The package can manipulate tensor and GR calculations with either abstract or explicit indices, simplify tensors with permutational symmetries, decompose tensors from abstract indices…

Mathematical Software · Computer Science 2016-12-08 Yi Wang

Sherpa is a hyperparameter optimization library for machine learning models. It is specifically designed for problems with computationally expensive, iterative function evaluations, such as the hyperparameter tuning of deep neural networks.…

Machine Learning · Computer Science 2020-05-11 Lars Hertel , Julian Collado , Peter Sadowski , Jordan Ott , Pierre Baldi

We construct a $SU(3)^3$ supersymmetric gauge theory with a common gauge coupling g. Spontaneous breaking of this gauge group at a scale $M_X=1.3\times10^{16} $GeV gives naturally rise exactly to the Minimal Supersymmetric Standard Model…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Lazarides , C. Panagiotakopoulos

A selection of exclusive SUSY measurements is presented which can be performed provided SUSY will be discovered at the LHC. Such measurements allow to determine the properties of supersymmetry and thus help to pin down the underlying…

High Energy Physics - Experiment · Physics 2009-02-02 Peter Wienemann

We describe an additional module for the Mathematica package FeynRules that allows for an easy building of any N=1 supersymmetric quantum field theory, directly in superspace. After the superfield content of a specific model has been…

High Energy Physics - Phenomenology · Physics 2015-05-27 Claude Duhr , Benjamin Fuks

The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebra (PHA) is investigated. Necessary and sufficient conditions for an algebra to be a PHA via semi-tensor product(STP) of matrices are…

Rings and Algebras · Mathematics 2021-05-10 Daizhan Cheng , Zhengping Ji