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The derivation of the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially for highly improved actions such as HISQ. This task is, however, both important and particularly suitable for…

High Energy Physics - Lattice · Physics 2010-12-17 A. Hart , G. M. von Hippel , R. R. Horgan , E. H. Müller

We present an algorithm to automatically derive Feynman rules for lattice perturbation theory in background field gauge. Vertices with an arbitrary number of both background and quantum legs can be derived automatically from both gluonic…

High Energy Physics - Lattice · Physics 2012-07-30 T. C. Hammant , R. R. Horgan , C. J. Monahan , A. G. Hart , E. H. Müller , A. Gray , K. Sivalingham , G. M. von Hippel

We present a method to automatically derive the Feynman rules for mesonic chiral perturbation theory with a lattice regulator. The Feynman rules can be output both in a human-readable format and in a form suitable for an automated numerical…

High Energy Physics - Lattice · Physics 2007-05-23 Bugra Borasoy , Georg M. von Hippel , Hermann Krebs , Randy Lewis

An algorithm for the automatic Feynman diagram (FD) generation is presented in this paper. The algorithm starts directly from the definition formula of FD, and is simple in concept and easy for coding. The symmetry factor for each FD is…

High Energy Physics - Phenomenology · Physics 2013-05-14 Bo Xiao , Hao Wang , Shou-hua Zhu

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

We review our perturbative techniques for improved heavy quark actions. A new procedure for computing improvement coefficients is suggested, where the continuum limit of a lattice-regularized theory provides the matching conditions.We also…

High Energy Physics - Lattice · Physics 2009-11-10 Matthew Nobes , Howard Trottier

The program FeynRules is a Mathematica package developed to facilitate the implementation of new physics theories into high-energy physics tools. Starting from a minimal set of information such as the model gauge symmetries, its particle…

High Energy Physics - Phenomenology · Physics 2014-06-13 Adam Alloul , Neil D. Christensen , Celine Degrande , Claude Duhr , Benjamin Fuks

The LanHEP program version 3.0 for Feynman rules generation from the Lagrangian is described. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Semenov

Quantum corrections significantly influence the quantities observed in modern particle physics. The corresponding theoretical computations are usually quite lengthy which makes their automation mandatory. This review reports on the current…

High Energy Physics - Phenomenology · Physics 2011-08-17 R. Harlander , M. Steinhauser

We present a new (and general) algorithm for deriving lattice Feynman rules which is capable of handling actions as complex as the Highly Improved Staggered Quark (HISQ) action. This enables us to perform a perturbative calculation of the…

High Energy Physics - Lattice · Physics 2010-01-21 A. Hart , G. M. von Hippel , R. R. Horgan

The computation of higher order processes very often involves a large number of diagrams. In addition, it is in general not possible to solve the occurring integrals explicitly and expansions in small quantities have to be performed. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Steinhauser

We present the Feynman rules for leading-twist gauge-invariant quark and gluon operators with an arbitrary number of total derivatives and applicable to any order in perturbation theory. This generalizes previous results and constitutes a…

High Energy Physics - Phenomenology · Physics 2024-08-05 G. Somogyi , S. Van Thurenhout

A computer program has been developed which generates Feynman graphs automatically for scattering and decay processes in non-Abelian gauge theory of high-energy physics. A new acceleration method is presented for both generating and…

High Energy Physics - Theory · Physics 2009-10-28 Toshiaki Kaneko

We introduce a new computer algebra system optimized for use in lattice perturbation theory as well as continuum perturbation theory and a new framework to perform automated perturbative calculations on top of said computer algebra system.…

High Energy Physics - Lattice · Physics 2012-11-19 Christoph Lehner

The LanHEP program for Feynman rules generation in momentum representation is presented. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with summation…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Semenov

FeynMaster is a multi-tasking software for particle physics studies. By making use of already existing programs (FeynRules, QGRAF, FeynCalc), FeynMaster automatically generates Feynman rules, generates and draws Feynman diagrams, generates…

High Energy Physics - Phenomenology · Physics 2020-04-17 Duarte Fontes , Jorge C. Romão

We calculate the two loop Landau mean links and the one loop renormalisation of the anisotropy for Wilson and improved SU(3) gauge actions, using twisted boundary conditions as a gauge invariant infrared regulator. We show these accurately…

High Energy Physics - Lattice · Physics 2009-11-07 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

Feynman perturbation theory for nonabelian gauge theory in light-like gauge is investigated. A lattice along two space-like directions is used as a gauge invariant ultraviolet regularization. For preservation of the polinomiality of action…

High Energy Physics - Theory · Physics 2014-11-21 M. S. Karnevskiy , S. A. Paston

We present SmeftFR, a Mathematica package designed to generate the Feynman rules for the Standard Model Effective Field Theory (SMEFT) including the complete set of gauge invariant operators up to dimension~6. Feynman rules are generated…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. Dedes , M. Paraskevas , J. Rosiek , K. Suxho , L. Trifyllis

Algorithms based on normalizing flows are emerging as promising machine learning approaches to sampling complicated probability distributions in a way that can be made asymptotically exact. In the context of lattice field theory,…

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