Mathching & Running is a set of tools for NNLO Standard Model vacuum stability analysis. It includes three-loop renormalization-group equations for Standard Model couplings with four-loop additions and two-loop thershold corrections.
for git version
$ git clone https://github.com/apik/mr.git
$ cd mr
$ autoreconf -i
$ ./configure
$ make && make install
or for prepared package
$ curl -OL https://github.com/apik/mr/releases/download/v1.3.2/mr-1.3.2.tar.gz
$ tar -zxf mr-1.3.2.tar.gz
$ cd mr-1.01
$ ./configure
$ make && make install
To enable Mathematica interface configure mr with full path to directory containing both of mcc and mprep tools. For example
$ ./configure --with-mcc-path=/Applications/Mathematica.app/SystemFiles/Links/MathLink/DeveloperKit/MacOSX-x86-64/CompilerAdditions
After successfull compilation libmr library will be prepared in directory mr/ and after successfull installation all header files will be placed to $PREFIX/include and library to $PREFIX/lib. Prefix may be set at coonfigure step with ./configure --prefix=<PATH>.
Just include in your code
#include <mr.hpp>
using namespace mr;
And compile with flags
$ pkg-config --cflags --libs mr
Sample applications are in examples directory
Due to differen architectures for package installation there is a set of tests. Running
$ ./testsuite
in tests directory prepare results of numerous tests.
boost - OdeInt library (part of boost)
examples - examples of library usage in C++ applications
math - Mathematica interface
|_ mrimpl.cpp - mathlink functions implementation
|_ mr.m - test file for Mathematica interface
|_ mr.tm - mathlink definitions
mr - mr library source files
|_ aGF/ - EW corrections to relation between Gf and aEM
|_ dr/ - EW corrections to delta-r
|_ gl/ - gaugeless limit for MS mass in terms of OS
|_ mMSmOS - MS masses in tems of OS masses
|_ mOSmMS/ - OS masses in tems of MS masses
|_ yu/ - EW corrections to couplings
|_ yugl/ - EW corrections to couplings in gaugless limit
|_ HH.cpp - corrections to X_H and Y_H source
|_ HH.hpp - corrections to X_H and Y_H header
|_ WW.cpp - corrections to X_W and Y_W source
|_ WW.hpp - corrections to X_W and Y_W source
|_ ZZ.cpp - corrections to X_Z and Y_Z source
|_ ZZ.hpp - corrections to X_Z and Y_Z source
|_ alphaGF.cpp - running aEM from Gf and pole masses source
|_ alphaGF.hpp - running aEM from Gf and pole masses header
|_ alphas.cpp - QCD coupling evolution and matching source
|_ alphas.hpp - QCD coupling evolution and matching header
|_ base.hpp - base class for all EW corrections classes
|_ bb.cpp - corrections to X_b and Y_b source
|_ bb.hpp - corrections to X_b and Y_b source
|_ constants.hpp - numerical constants and PDG input
|_ dr.cpp - Corrections to delta-r source
|_ dr.hpp - Corrections to delta-r header
|_ logger.hpp - simple logging facility
|_ mOS2mMSQCD.cpp - QCD corrections to relation between OS and MS masses
|_ mr.hpp - main header to include in user progrm
|_ operators.hpp - arithmetic operations with complex types
|_ p2ms.cpp - extraction running couplings from OS input source
|_ p2ms.hpp - extraction running couplings from OS input header
|_ smRGE.cpp - SM beta functions and evolution source
|_ smRGE.hpp - SM beta functions and evolution header
|_ sminput.hpp - simple type for manipulation with input
|_ tdecl.hpp - declaration of types used in library
|_ timer.hpp - simple timer implementation
|_ tsil.cpp - TSIL integral library interface source
|_ tsil.hpp - TSIL integral library interface header
|_ tt.cpp - Corrections to X_t and Y_t source
|_ tt.hpp - Corrections to X_t and Y_t header
tests - tests for package consistency check
- Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops. By A.V. Bednyakov, A.F. Pikelner, V.N. Velizhanin. JHEP 1301 (2013) 017.
- Yukawa coupling beta-functions in the Standard Model at three loops. By A.V. Bednyakov, A.F. Pikelner, V.N. Velizhanin. Phys.Lett. B722 (2013) 336-340.
- Higgs self-coupling beta-function in the Standard Model at three loops. By A.V. Bednyakov, A.F. Pikelner, V.N. Velizhanin. Nucl.Phys. B875 (2013) 552-565.
- Two-loop electroweak threshold corrections in the Standard Model. By Bernd A. Kniehl, Andrey F. Pikelner, Oleg L. Veretin. [arXiv:1503.02138 [hep-ph]].
Two-loop massive self-energy integrals evaluated numerically using TSIL library:
- TSIL: A Program for the calculation of two-loop self-energy integrals. By Stephen P. Martin, David G. Robertson. Comput.Phys.Commun. 174 (2006) 133-151.
Effective potential up to three loops in SM in gaugless limit:
- Three-loop Standard Model effective potential at leading order in strong and top Yukawa couplings. By Stephen P. Martin. Phys.Rev. D89 (2014) 1, 013003.
Four-loop QCD corrections to strong and Yukawa couplings running:
- The Four loop beta function in quantum chromodynamics. By T. van Ritbergen, J.A.M. Vermaseren, S.A. Larin. Phys.Lett. B400 (1997) 379-384.
- The four loop quark mass anomalous dimension and the invariant quark mass. By J.A.M. Vermaseren, S.A. Larin, T. van Ritbergen. Phys.Lett. B405 (1997) 327-333.