RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses

By K. Chetyrkin, J. Kuhn, Matthias Steinhauser. 2000

564 citations recorded by the source corpus.

In this paper the formulae are collected which are needed for the computation of the strong coupling constant and quark masses at different energy scales and for different number of active flavors. All equations contain the state-of-the-art QCD corrections up to three- and sometimes even four-loop order. For the practical implementation Mathematica is used and a package containing useful procedures is provided.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2bba1a3ac3052ff25501c15dc53c808e58ee2c0d

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In Nuclear and High Energy Physics

Citations in the corpus

Simultaneous explanation of the RK and R(D(⁎)) puzzles (2014, background): “For example, the LHCb Collaboration recently measured the ratio of decay rates for B+ → K+ℓ+ℓ− (ℓ = e, µ) in the dilepton invariant mass-squared range 1 GeV2 ≤ q2 ≤ 6 GeV2 [1].”
Two-Loop Electroweak Corrections for the K -> pi nu anti-nu Decays (2010, methodology): “at Tevatron, to the MS scheme using three-loop QCD accuracy, we nd M t m MS;QCD(m t) = 163:7GeV. For this conversion as well as for the QCD running of M t and s we use the Mathematica package RunDec [22]. The electroweak correction term X(EW) t cancels the scheme and scale dependence of the prefacto”
On B → Vℓℓ at small dilepton invariant mass, power corrections, and new physics (2012, methodology): “For αs(μ) we use the three-loop renormalization-scale evolution [119], for αem(Q 2 = 0) ' 1/137 and for GF = 1.”
Reconsidering the one leptoquark solution: flavor anomalies and neutrino mass (2017, unknown): “We use the Mathematica package RunDec [86] to run αs from Λ ∼ TeV to µb = mb = 4.2 GeV.”
alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory (2008, methodology): “(16)The evolution has been performed independently with the Mathematica package RunDec [65] and a private routine coded by one of us (MJ), finding complete agreement.”
Running quark and lepton parameters at various scales (2013, methodology): “1876 GeV [8] using the Mathematica package RunDec [18], integrating in the top quark at MZ as described therein.”
FLAG Review 2019 (2019, methodology): “Often the package RunDec is used for quark-threshold matching and running in the MS-scheme [676, 677].”
Illuminating dark photons with high-energy colliders (2014, methodology): “where the running QCD coupling was computed at 3+ loop order using the RunDec Mathematica package [103].”
Anatomy and phenomenology of FCNC and CPV effects in SUSY theories (2009, unknown): “600 GeV, both possibly observable at the LHC.”
Epsilon_K at Next-to-Next-to-Leading Order: The Charm-Top-Quark Contribution (2010, methodology): “We used the mathematica package RunDec [37] for the numerical evaluation.”
Gluon-induced Higgs-strahlung at next-to-leading order QCD (2012, methodology): “In order to be consistent with the currently available PDF sets, we express our final result in terms of α (5) s , the strong coupling with five active flavours using the matching relation [47]”