Four-Loop Decoupling Relations for the Strong Coupling

Abstract

We compute the matching relation for the strong coupling constant within the framework of QCD up to four-loop order. This allows a consistent five-loop running (once the $\beta$ function is available to this order) taking into account threshold effects. As a side product we obtain the effective coupling of a Higgs boson to gluons with five-loop accuracy.

arXiv comment11 pages

References in corpus (19)

• The four-loop beta-function in Quantum Chromodynamics
• The Four-Loop QCD Beta-Function and Anomalous Dimensions
• The three loop relation between the \bar {MS} and the pole quark masses
• Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• QCD Decoupling at Four Loops
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Short Distance Mass of a Heavy Quark at Order α_s^3
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Results and Techniques of Multi-Loop Calculations
• Automatic application of successive asymptotic expansions of Feynman diagrams
• ${\alpha }_s(m_Z)$ from tau decays with matching conditions at three loops
• Strange Quark Mass from Tau Lepton Decays with O(alpha_s^3) Accuracy
• Automatic reduction of four-loop bubbles
• Heavy-quark vacuum polarization: first two moments of the O(alphas^3 nf^2) contribution

Cited by in corpus (189)

• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• FLAG Review 2019
• Higgs boson gluon-fusion production in N3LO QCD
• FLAG Review 2021
• Five-Loop Running of the QCD coupling constant
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Effective Lagrangian for a light Higgs-like scalar
• Precision Tau Physics
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
• The Multithreaded version of FORM
• Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order
• Soft triple-real radiation for Higgs production at N3LO
• HDECAY: Twenty++ Years After
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Higgs boson potential at colliders: status and perspectives
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Top-mass effects in differential Higgs production through gluon fusion at order α_s^4
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Higgs Boson Production and Decay at Hadron Colliders
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• CRunDec: a C++ package for running and decoupling of the strong coupling and quark masses
• Single Scale Tadpoles and O(GF mt^2 as^3) Corrections to the rho Parameter
• Singlet Extensions of the Standard Model at LHC Run 2: Benchmarks and Comparison with the NMSSM
• iHixs 2 - Inclusive Higgs Cross Sections
• Four-Loop QCD Corrections to the Rho Parameter
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
• Resummed Higgs cross section at N${}^3$LL
• Low energy moments of heavy quark current correlators at four loops
• NMSSMCALC: A Program Package for the Calculation of Loop-Corrected Higgs Boson Masses and Decay Widths in the (Complex) NMSSM
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Transverse momentum dependent PDFs at N${}^3$LO
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Loop-induced dark matter direct detection signals from gamma-ray lines
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Flavor Anomalies, the Diphoton Excess and a Dark Matter Candidate
• FLAG Review 2024
• Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO
• eHDECAY: an Implementation of the Higgs Effective Lagrangian into HDECAY
• Probing the nature of the Higgs-gluon coupling
• Inclusive Production Cross Sections at N3LO
• Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies
• Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections
• Effective Field Theory for Higgs Plus Jet Production
• Precise Values of Running Quark and Lepton Masses in the Standard Model
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Four-loop QCD analysis of the Bjorken sum rule vs data
• On the difference between the pole and the MSbar masses of the top quark at the electroweak scale
• The QCD form factor of heavy quarks at NNLO
• Anomalous magnetic moment with heavy virtual leptons
• Two-loop electroweak threshold corrections in the Standard Model
• Differential Higgs production at N3LO beyond threshold
• Four-loop strong coupling beta-function in the Standard Model
• Completing the hadronic Higgs boson decay at order ${\alpha }_s^4$
• Leptonic contributions to the effective electromagnetic coupling at four-loop order in QED
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO
• Wilson coefficients for Higgs boson production and decoupling relations to $\mathcal{O}\left({\alpha }_s^4\right)$
• Simultaneous decoupling of bottom and charm quarks
• Updated Higgs cross section at approximate N${}^3$LO
• One-Loop Single-Real-Emission Contributions to $pp\to H+X$ at Next-to-Next-to-Next-to-Leading Order
• Precision Calculations in Supersymmetric Theories
• EKO: Evolution Kernel Operators
• N2HDECAY: Higgs Boson Decays in the Different Phases of the N2HDM
• Effective Multi-Higgs Couplings to Gluons
• Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH
• O(alpha_s^2) corrections to fermionic Higgs decays in the MSSM
• Four-loop Standard Model effective potential at leading order in QCD
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• The strong coupling from an improved $\tau$ vector isovector spectral function
• mr: a C++ library for the matching and running of the Standard Model parameters
• Four-Loop Tadpoles: Applications in QCD
• Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCD
• The NNLO gluon fusion Higgs production cross-section with many heavy quarks
• Calculating four-loop tadpoles with one non-zero mass
• N-jettiness beam functions at N3LO
• Matching coefficients for alpha_s and m_b to O(alpha_s^2) in the MSSM
• Leading large-x logarithms of the quark-gluon contributions to inclusive Higgs-boson and lepton-pair production
• Effective field theory approach to heavy quark fragmentation
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• QCD coupling constant at NNLO from DIS data
• Calibration of the Top-Quark Monte-Carlo Mass
• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Precision tools and models to narrow in on the 750 GeV diphoton resonance
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Renormalon-motivated evaluation of QCD observables
• Precision physics with inclusive QCD processes
• Boosted Top Quarks in the Peak Region with N${}^3$LL Resummation
• Higgs-differential cross section at NNLO in dimensional regularisation
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Triple Higgs production at hadron colliders at NNLO in QCD
• REvolver: Automated running and matching of couplings and masses in QCD
• CP-even scalar boson production via gluon fusion at the LHC
• Diphoton Resonance from a Warped Extra Dimension
• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• High energy behaviour of form factors
• Extension of the functionality of the symbolic program FORM by external software
• Power corrections from decoupling of the charm quark
• On the computation of finite bottom-quark mass effects in Higgs boson production
• Heavy-flavor parton distributions without heavy-flavor matching prescriptions
• NNLO B-fragmentation fits and their application to $t\bar{t}$ production and decay at the LHC
• Collinear expansion for color singlet cross sections
• How perturbative are heavy sea quarks?
• Lattice determinations of the strong coupling
• Decoupling of heavy quarks in HQET
• Thrust distribution in Higgs decays at the next-to-leading order and beyond
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Two-loop corrections to the triple Higgs boson production cross section
• Determination of perturbative QCD coupling from ALEPH $\tau$ decay data using pinched Borel-Laplace and Finite Energy Sum Rules
• Fiducial cross sections for the four-lepton decay mode in Higgs-plus-jet production up to NNLO QCD
• Unification scale vs. electroweak-triplet mass in the SU(5) + 24_F model at three loops
• The Order $\mathcal{O}({\alpha }_t{\alpha }_s)$ Corrections to the Trilinear Higgs Self-Couplings in the Complex NMSSM
• Life of Π
• Fractional Analytic QCD beyond Leading Order
• Low-mass Higgs decays to four leptons at one loop and beyond
• Standard and epsilon-finite Master Integrals for the rho-Parameter
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Higher order QCD results for the fermionic contributions of the Higgs-boson decay into two photons and the decoupling function for the MSbar renormalized fine-structure constant
• Determination of the strong coupling constant from the CLEO measurement of the total hadronic cross section in $e^{+}{e}^{-}$ annihilation below 10.56 GeV
• Fractional Analytic QCD beyond Leading Order in timelike region
• Third-order QCD results on form factors and coefficient functions
• Determination of ${\overline{m}}_b/{\overline{m}}_c$ and ${\overline{m}}_b$ from $n_f=4$ lattice QCD$+$QED
• Next-to-Leading Order NMSSM Decays with CP-odd Higgs Bosons and Stops
• On the calculation of soft phase space integral
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Heavy-flavor PDF evolution and variable-flavor number scheme uncertainties in deep-inelastic scattering
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• Augmenting the residue theorem with boundary terms in finite-density calculations
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• O(α_s^2) corrections to the running top-Yukawa coupling and the mass of the lightest Higgs boson in the MSSM
• Strong-Coupling Constant at Three Loops in Momentum Subtraction Scheme
• The Standard Model at 200 GeV
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• An FONLL prescription with coexisting flavor number PDFs
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Three-loop QCD corrections to the electroweak boson masses
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• Decoupling constant for ${\alpha }_s$ and the effective gluon-Higgs coupling to three loops in supersymmetric QCD
• On the electroweak contribution to the matching of the strong coupling constant in the SM
• Matching the heavy-quark fields in QCD and HQET at four loops
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• On the four-loop strong coupling beta-function in the SM
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Precision physics with QCD
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• The two-loop Higgs impact factor
• $(Z\alpha {)}^4$ order of the polarization operator in Coulomb field at low energy
• Theoretical Status of Higgs Production at Hadron Colliders in the SM
• Standard and SUSY Higgs production at the LHC
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• Investigation of the scale dependence in the MSR and $\overline{\text{MS}}$ top quark mass schemes for the $\mathrm{t}\overline{\mathrm{t}}$ invariant mass differential cross section using LHC data
• pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?
• Fully Differential Higgs Boson Production to Third Order in QCD
• Renormalization-group improved Higgs to two gluons decay rate
• Towards unifying perturbative and Holographic Light-Front QCD via holomorphic coupling
• Determination of the Strong Coupling Constant by the ALPHA Collaboration
• Charm sea effects on charmonium decay constants and heavy meson masses
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO
• Correlation between the decays $h^0\to \gamma \gamma /gg$ in the MSSM with quark flavour violation
• Introduction to effective field theories. 1. Heisenberg-Euler effective theory, decoupling of heavy flavours
• QCD Predictions for Event-Shape Distributions in Hadronic Higgs Decays
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet
• Bottom Quark Mass with Calibrated Uncertainty
• Higgs boson production in the SM and MSSM to NNLO and beyond
• QCD Beyond Leading Power
• Low-energy constraints to ${\alpha }_s$
• NNLO QCD corrections to $\gamma \gamma \to Q\bar{Q}$ from Local Unitarity combined with Coulomb resummation and NLO EW effects
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions
• One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
• Multi-Loop Results, Charm- and Bottom-Quark Masses and the Strong Coupling Constant
• Fully differential Higgs boson pair production at N${}^3$LO with top quark mass effects
• Higgs boson decay to massive bottom quarks at order ${\alpha }_s^4$ induced by top-quark Yukawa couplings