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

Abstract

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 flavours. All equations contain the state-of-the-art QCD corrections up to three- and sometimes even four-loop order. For the practical implementation {\tt Mathematica} is used and a package containing useful procedures is provided.

32 pages, ps figures included, accepted for publication in Computer Physics Communications

References in corpus (2)

• The three loop relation between the \bar {MS} and the pole quark masses
• Short Distance Mass of a Heavy Quark at Order α_s^3

Cited by in corpus (449)

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• NNLO PDFs driven by top-quark data
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• Thrust Distribution in Electron-Positron Annihilation using the Principle of Maximum Conformality
• Determination of the strong coupling constant from inclusive jet cross section data from multiple experiments
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• Lattice $B$-field correlators for heavy quarks
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• Log-Expansions from Combinatorial Dyson-Schwinger Equations
• Flavor physics in SU(5) GUT with scalar fields in the 45 representation
• High Scale Validity of the DFSZ Axion Model with Precision
• Chances for SUSY-GUT in the LHC Epoch
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Hadronic Contribution to the muon $g-2$ factor
• Higher-order QCD corrections to $H\to b\bar{b}$ from rational approximants
• Anomalous magnetic moment of the muon, a hybrid approach
• A note on quark and gluon energy-momentum tensors
• Chromopolarizabilities of fully-heavy baryons
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
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• Benchmark Suggestions for Resonant Double Higgs Production at the LHC for Extended Higgs Sectors
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• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• Flavor physics induced by light $Z^{\prime }$ from SO(10) GUT
• Lepton flavor violation within the Simplest Little Higgs model
• Higgs boson decay to charmonia via $c$-quark fragmentation
• Next-to-leading-order QCD corrections to a vector bottomonium radiative decay into a charmonium
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• Spectroscopy and Annihilation Decay Widths of Charmonium and Bottomonium Excitations
• Up- and down-quark masses from QCD sum rules
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Rare top-quark decays $t\to cg(g)$ in the aligned two-Higgs-doublet model
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
• OPE of the energy-momentum tensor correlator and the gluon condensate operator in massless QCD to three-loop order
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Probing new physics in class-I $B$-meson decays into heavy-light final states
• Revisiting the Bottom Quark Forward-Backward Asymmetry $A_{\mathrm{FB}}$ in Electron-Positron Collisions
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• Detecting Heavy Higgs Bosons from Natural SUSY at a 100 TeV Hadron Collider
• Charming Darwin: the evolution of QCD parameters across different species
• General mass variable flavor number scheme for $Z$ boson production in association with a heavy quark at hadron colliders
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• $m_b(m_Z)$ revisited with Zedometry
• Variant Nelson-Barr Mechanism with Minimal Flavor Violation
• Light quark masses from UKQCD's dynamical simulations with O(a)-improved Wilson fermions
• On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC
• Impact of scale, nuclear PDF and temperature variations on the interpretation of medium-modified jet production data from the LHC
• A determination of mc(mc) from HERA data using a matched heavy-flavor scheme
• The top quark chromomagnetic dipole moment in the SM from the 4-body vertex function
• Signal mixture estimation for degenerate heavy Higgses using a deep neural network
• Combined fixed-order and effective-theory approach to $b\bar{b}$ sum rules
• Probing the inverse moment of $B_s$-meson distribution amplitude via $B_s\to {\eta }_s$ form factors
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Renormalization-group improved Higgs to two gluons decay rate
• Hidden sector behind the CKM matrix
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
• Analytic NNLO QCD corrections to top quark pair production in electron-positron collisions
• Threshold Corrections to the Bottom Quark Mass Revisited
• Curing tachyonic tree-level syndrome in NMSSM light-singlet scenarios
• Flavour anomalies meet flavour symmetry
• Nuclear EDM from SMEFT flavor-changing operator
• Two loop QCD corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ in asymptotic expansion
• Mass Determination of New Particle States
• Analytic Result of Higgs Boson Decay to Gluons with Full Quark Mass Dependence
• An improved calculation of the $D_{(s)}^{\ast }{D}_{(s)}V$ and $B_{(s)}^{\ast }{B}_{(s)}V$ couplings from light-cone sum rules
• Semi-leptonic three-body proton decay modes from light-cone sum rules
• Constraints on B--->pi,K transition form factors from exclusive semileptonic D-meson decays
• Introduction to effective field theories. 1. Heisenberg-Euler effective theory, decoupling of heavy flavours
• The charm quark mass with dynamical fermions
• Off-shell chromomagnetic dipole moments in the SM at and beyond the $Z$ gauge boson mass scale
• Higgs boson decay into photons at four loops
• $\text{RGE++}:$ A $\text{C++}$ library to solve renormalisation group equations in quantum field theory
• Decay of the charged Higgs boson and the top quark in two-Higgs-doublet model at NNLO in QCD
• Cross-Sections for $\text{t}\bar{\text{t}}\text{H}$ production with the Top Quark $\overline{\text{MS}}$ Mass
• $Z_H\to H^0\gamma$ decay within the littlest Higgs model at $\mathcal{O}({\alpha }_{\mathrm{ew}}^3{\alpha }_s)$ accuracy
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model
• Spectral sum of current correlators from lattice QCD
• Electroweak corrections to $g+g\to H_{l,h}$ and $H_{l,h}\to \gamma +\gamma$ in the Higgs-singlet extension of the Standard model
• Heavy quarkonium electric dipole transitions in non-relativistic quantum field theory
• Two-loop Electroweak Corrections to the Top-Quark Contribution to ${\epsilon }_K$
• QCD static force in gradient flow
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
• Hybrid to Quarkonia transitions
• SUSY threshold corrections to quark and lepton mixing inspired by $SO(10)$ GUT models
• Perturbative QCD fitting of KEDR and BESIII $e^{+}{e}^{-}$ data for R(s) and ${\alpha }_s$ determination
• Penguin diagrams in the charm sector in K+ --> pi+ nu anti-nu
• The Relativistic Schrödinger Equation through FFTW3: An Extension of quantumfdtd
• The Simplest B Decay, Precisely
• Higgs probes of top quark contact interactions and their interplay with the Higgs self-coupling
• Low-energy constraints to ${\alpha }_s$
• A new determination of higher-order QCD corrections to hadronic $\tau$ decays
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
• $\Delta S=0$ Hadronic Parity Violation in Next-to-Leading Order QCD: Anomalous Dimension Matrices and Their Implications
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms
• $\sigma (e^{+}{e}^{-}\to hadrons)$ and the Heavy Quark Masses
• Mixed QCD-EW corrections to $W$-pair production at electron-positron colliders
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays
• The effect of sea quarks on the mass of the charm quark from Lattice QCD
• A Tale of Invisibility: Constraints on New Physics in $b\to s\nu \nu$
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Non-perturbative renormalisation with interpolating momentum schemes
• Higgs boson decay to massive bottom quarks at order ${\alpha }_s^4$ induced by top-quark Yukawa couplings