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Related papers: $\texttt{RGESolver}$ : a $\texttt{C++}$ library to…

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In recent years three-, four- and five-loop beta functions have been computed for various phenomenologically interesting models. However, most of these results have not been implemented in easy to use software packages. $\texttt{RGE++}$…

High Energy Physics - Phenomenology · Physics 2021-01-05 Thomas Deppisch , Florian Herren

In this article we present REvolver, a C++ library for renormalization group evolution and automatic flavor matching of the QCD coupling and quark masses, as well as precise conversion between various quark mass renormalization schemes. The…

High Energy Physics - Phenomenology · Physics 2021-09-29 Andre H. Hoang , Christopher Lepenik , Vicent Mateu

We present the C++ program library mr that allows us to reliably calculate the values of the running parameters in the Standard Model at high energy scales. The initial conditions are obtained by relating the running parameters in the…

High Energy Physics - Phenomenology · Physics 2016-12-05 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

This paper describes a modular framework for the description of electroweak scattering and decay processes, including but not limited to Z-resonance physics. The framework consistently combines a complex-pole expansion near a s-channel…

High Energy Physics - Phenomenology · Physics 2023-10-12 Lisong Chen , Ayres Freitas

RGIsearch is a C++ program that searches for invariants of a user-defined set of renormalization group equations. Based on the general shape of the $\beta$-functions of quantum field theories, RGIsearch searches for several types of…

High Energy Physics - Phenomenology · Physics 2016-04-20 Rob Verheyen

We present DsixTools, a Mathematica package for the handling of the dimension-six Standard Model Effective Field Theory. Among other features, DsixTools allows the user to perform the full one-loop Renormalization Group Evolution of the…

High Energy Physics - Phenomenology · Physics 2017-06-23 Alejandro Celis , Javier Fuentes-Martin , Avelino Vicente , Javier Virto

An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional classical models. In the case of a square…

Statistical Mechanics · Physics 2018-03-23 Satoshi Morita , Ryo Igarashi , Hui-Hai Zhao , Naoki Kawashima

Satisfiability is a classic problem in computational complexity theory, in which one wishes to determine whether an assignment of values to a collection of Boolean variables exists in which all of a collection of clauses composed of logical…

Statistical Mechanics · Physics 2007-05-23 S. N. Coppersmith

We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of the ERGE and on an approximation method to solve it: the…

High Energy Physics - Theory · Physics 2011-04-20 C. Bagnuls , C. Bervillier

The standard analytic solution of the renormalization group (RG) evolution for the $\Delta S = 1$ Wilson coefficients involves several singularities, which complicate analytic solutions. In this paper we derive a singularity-free solution…

High Energy Physics - Phenomenology · Physics 2016-12-21 Teppei Kitahara , Ulrich Nierste , Paul Tremper

We describe the on-shell method to deriving the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2021-02-03 Minyuan Jiang , Teng Ma , Jing Shu

Global analyses in the Standard Model Effective Field Theory (SMEFT) framework serve as a tool to probe potential directions of new physics. To break degeneracies between the Wilson coefficients of the SMEFT, it is essential to combine…

High Energy Physics - Phenomenology · Physics 2024-12-16 Riccardo Bartocci , Anke Biekötter , Tobias Hurth

We present an automatic renormalization group equations (RGEs) solver, D7RGESolver, designed for the precise numerical solution of one-loop RGEs of dimension-7 (dim-7) operators within the standard model effective field theory (SMEFT). This…

High Energy Physics - Phenomenology · Physics 2025-08-21 Yi Liao , Xiao-Dong Ma , Hao-Lin Wang , Xiang Zhao

Wilson is a Python library for matching and running Wilson coefficients of higher-dimensional operators beyond the Standard Model. Provided with the numerical values of the Wilson coefficients at a high new physics scale, it automatically…

High Energy Physics - Phenomenology · Physics 2019-01-08 Jason Aebischer , Jacky Kumar , David M. Straub

We study the renormalization group evolution (RGE) of new physics contributions to (semi)leptonic charged-current meson decays, focusing on operators involving a chirality flip at the quark level. We calculate their evolution under…

High Energy Physics - Phenomenology · Physics 2017-10-02 Martín González-Alonso , Jorge Martin Camalich , Kin Mimouni

A new operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real space Renormalization Group is introduced, in which cell-overlapping is the key concept.…

Statistical Mechanics · Physics 2009-11-07 Andreas Degenhard , Javier Rodriguez-Laguna

Computational implementations for solving systems of linear equations often rely on a one-size-fits-all approach based on LU decomposition of dense matrices stored in column-major format. Such solvers are typically implemented with the aid…

Mathematical Software · Computer Science 2021-01-13 Conrad Sanderson , Ryan Curtin

The renormalization group has proven to be a very powerful tool in physics for treating systems with many length scales. Here we show how it can be adapted to provide a new class of algorithms for discrete optimization. The heart of our…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Houdayer , O. C. Martin

Tensor network structure search (TN-SS) aims to automatically discover optimal network topologies and rank configurations for efficient tensor decomposition in high-dimensional data representation. Despite recent advances, existing TN-SS…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Maolin Wang , Bowen Yu , Sheng Zhang , Linjie Mi , Wanyu Wang , Yiqi Wang , Pengyue Jia , Xuetao Wei , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao

The article deals with a kind of recursive function templates in C++, where the recursion is realized corresponding template parameters to achieve better computational performance. Some specialization of these template functions ends the…

Mathematical Software · Computer Science 2007-05-23 Volodymyr Myrnyy
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