mr: a C++ library for the matching and running of the Standard Model parameters

Abstract

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 $\overline{\mathrm{MS}}$ renormalization scheme to observables at lower energies with full two-loop precision. The evolution is then performed in accordance with the renormalization group equations with full three-loop precision. Pure QCD corrections to the matching and running are included through four loops. We also provide a Mathematica interface for this program library.

29 pages, minor changes, references added, matches journal version, Highlighted Article in Comput. Phys. Commun., featured by Abigail Beall as "A time machine to explore the universe" (http://www.journals.elsevier.com/computer-physics-communications/highlighted-articles/a-time-machine-to-explore-the-universe)

References in corpus (7)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Quark mass relations to four-loop order
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Anomalous dimensions of gauge fields and gauge coupling beta-functions in the Standard Model at three loops
• Two-loop electroweak threshold corrections in the Standard Model
• Light quark mass effects in the on-shell renormalization constants

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• Conditions for Suppressing Dimension-five Proton Decay in Renormalizable SUSY $SO(10)$ GUT
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