Utilities for calculations in the tadpole-free pure MSbar scheme in the Standard Model of particle physics.
SMDR is a library of computer utilities, written in C, for calculations in the tadpole-free pure MSbar scheme in the Standard Model of particle physics.
The MSbar Lagrangian parameters are treated as the fundamental inputs, and calculations relating them to on-shell observable quantities are implemented in a consistent way. The Higgs vacuum expectation value (VEV) is defined as the minimum of the Landau gauge effective potential, so that tadpole diagrams vanish.
Included at present are the minimization condition for the VEV at full 3-loop order with 4-loop QCD effects, the Higgs pole mass at 2-loop order with leading momentum-dependent 3-loop QCD and top-quark Yukawa effects (up through order yt^2 g3^4), the top-quark pole mass at 4-loop order in QCD with full 2-loop electroweak effects, the W- and Z-boson pole and Breit-Wigner masses at full 2-loop order with leading 3-loop QCD contributions, and the Fermi decay constant at full 2-loop order, the fine structure constant and weak mixing angle, and all known contributions to renormalization group equations and threshold matching relations for the gauge couplings, fermion masses and Yukawa couplings.
The code is written in C, and may be linked from C or C++. SMDR is free software, released under the GPL.
The authors are Stephen P. Martin and David G. Robertson. The paper announcing SMDR is available from the arXiv.org preprint archive as 1907.02500.
The source code for the current version (v1.2, May 22, 2022) of the program can be obtained here as a zip ot tar.gz archive. Note that SMDR includes copies of the TSIL and 3VIL libraries for the numerical calculation of dimensionally regularized two-loop self-energy integrals and three-loop vacuum integrals, respectively.
SMDR subsumes and replaces our earlier program SMH, which calculated the Higgs pole mass in the Standard Model.
This material is based upon work supported by the National Science Foundation under Grant PHY-1719273. The work of DGR was supported in part by a grant from the Ohio Supercomputer Center.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.