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In physics, Lagrangians provide a systematic way to describe laws governing physical systems. In the context of particle physics, they encode the interactions and behavior of the fundamental building blocks of our universe. By treating…

Machine Learning · Computer Science 2025-01-17 Yong Sheng Koay , Rikard Enberg , Stefano Moretti , Eliel Camargo-Molina

minimal-lagrangians is a Python program which allows one to specify the field content of an extension of the Standard Model of particle physics and, using this information, to generate the most general renormalizable Lagrangian that…

High Energy Physics - Phenomenology · Physics 2021-01-08 Simon May

We derive a complete set of Feynman rules in the general two-Higgs doublet model effective field theory where the effects of additional new physics are parametrized by operators up to mass dimension-six. We calculate the physical Higgs…

High Energy Physics - Phenomenology · Physics 2025-09-12 Radovan Dermisek , Keith Hermanek

In this Ph.D thesis three main projects are presented. In the first one the phenomenology associated with the neutralinos and charginos sector of the left-right symmetric supersymmetric model is explored. After a detailed motivation of the…

High Energy Physics - Phenomenology · Physics 2014-04-18 Adam Alloul

Package FeynGrav which provides a framework to deal with Feynman rules for gravity within FeynCalc is presented. We present a framework to deal with the corresponding Feynman rules for general relativity and non-supersymmetric matter…

High Energy Physics - Theory · Physics 2022-07-25 Boris Latosh

A relativistic quantized particle model avoids difficulties through (1) a Hamiltonian undecomposable into H=H(0)+H(I), (2) a separation of the evolution parameter s from dynamics, (3) "leptons" and "hadrons" composed of "quarks," and (4)…

High Energy Physics - Theory · Physics 2007-05-23 Marcia J. King

We present the new version of FeynGrav, a package that provides a set of tools to work with Feynman rules for gravity models. The new version addresses two principal issues and includes changes that improve user experience. Firstly, we…

High Energy Physics - Theory · Physics 2026-05-07 Boris Latosh

In this paper a new approach is proposed to quantize mechanical systems whose equations of motion can not be put into Hamiltonian form. This approach is based on a new type of variational principle, which is adopted to a describe a…

Mathematical Physics · Physics 2011-04-04 Tianshu Luo , Yimu Guo

We want to unify usual equation of motion laws of nature with "laws" about initial conditions, second law of thermodynamics, cosmology. By introducing an imaginary part -- of a similar form but different parameters as the usual real part --…

High Energy Physics - Phenomenology · Physics 2007-05-23 Holger B. Nielsen , Masao Ninomiya

We present an implementation of the Electroweak Chiral Lagrangian (also denoted as Higgs Effective Theory) in several high energy physics Mathematica packages. In particular, we implement the bosonic part of the electoweak Lagrangian up to…

High Energy Physics - Phenomenology · Physics 2022-11-23 Javier Martinez-Martin , Juan Jose Sanz-Cillero

We give a concise and pedagogical introduction to Feynman diagrams. After discussing a toy model which requires only undergraduate mathematics, we focus on relativistic quantum field theory. We review the derivation of Feynman rules from…

High Energy Physics - Phenomenology · Physics 2025-01-16 Stefan Weinzierl

A general introduction is given in chapter 1. Chapter 2 outlines the main features of the Standard Model (SM) of particle physics and the theoretical motivations for going beyond it. We subsequently provide brief descriptions of a few…

High Energy Physics - Phenomenology · Physics 2011-08-30 Andreas Papaefstathiou

We use the Feynman path integral approach to nonrelativistic quantum mechanics twofold. First, we derive the lagrangian for a spinless particle moving in a uniformly but not necessarily constantly accelerated reference frame; then, applying…

Quantum Physics · Physics 2007-05-23 Stella Huerfano , Sarira Sahu , M. Socolovsky

A Lagrangian formulation is constructed for particle interpretations of quantum mechanics, a well-known example of such an interpretation being the Bohm model. The advantages of such a description are that the equations for particle motion,…

Quantum Physics · Physics 2017-07-03 Roderick Sutherland

Following the Poincare algebra for a free spinning particle and using the Casimirs of the algebra in the Hamiltonian approach, we construct systematically a set of Lagrangians for the relativistic spinning particle which includes the…

High Energy Physics - Theory · Physics 2016-03-15 Mehdi Hajihashemi , Ahmad Shirzad

We extend the Worldline Monte Carlo approach to computationally simulating the Feynman path integral of non-relativistic multi-particle quantum-mechanical systems. We show how to generate an arbitrary number of worldlines distributed…

Learning and predicting the dynamics of physical systems requires a profound understanding of the underlying physical laws. Recent works on learning physical laws involve generalizing the equation discovery frameworks to the discovery of…

Machine Learning · Statistics 2023-10-11 Tapas Tripura , Souvik Chakraborty

We present an application that automatically writes the Helas library corresponding to the Feynman rules of any Lagrangian, renormalizable or not, in quantum field theory. The code, written in Python, takes the Universal FeynRules Output as…

High Energy Physics - Phenomenology · Physics 2012-08-02 Priscila de Aquino , William Link , Fabio Maltoni , Olivier Mattelaer , Tim Stelzer

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a…

High Energy Physics - Theory · Physics 2009-10-30 H. W. Hamber , S. Liu

Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shakir Showkat Sofi , Mosaib Ul Munieeb , Fazil Bashir , Munieeb Ul Hassan , Shahkar Ahmad Nahvi