The four-loop beta-function in Quantum Chromodynamics

Abstract

We present the analytical calculation of the four-loop QCD beta-function within the minimal subtraction scheme.

9 pages, Latex, 1 figure, uses axodraw.sty

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• Is there evidence for dimension-two corrections in QCD two-point functions?
• Higher-Order Sudakov Resummation in Coupled Gauge Theories
• Non-perturbative tests of Heavy Quark Effective Theory
• Four-loop Dyson-Schwinger-Johnson anatomy
• New Scheme Transformations and Application to Study Scheme Dependence of an Infrared Zero of the Beta Function in Gauge Theories
• The N${}^3$LO Scheme-invariant QCD Evolution of the Non-singlet Structure Functions \boldmath $F_2^{\mathrm{NS}}(x,Q^2)$ and $g_1^{\mathrm{NS}}(x,Q^2)$
• Chiral corrections to the $SU(2)\times SU(2)$ Gell-Mann-Oakes-Renner relation
• The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O({\alpha }_s^3)$
• Precision physics with inclusive QCD processes
• Higgs-differential cross section at NNLO in dimensional regularisation
• Quark mass anomalous dimension at O(1/N_f^2) in QCD
• ${\Lambda }_{\overline{\text{MS}}}^{(n_f=2)}$ from a momentum space analysis of the quark-antiquark static potential
• Higher-order threshold resummation for semi-inclusive e^+e^- annihilation
• Wilson Expansion of QCD Propagators at Three Loops: Operators of Dimension Two and Three
• Hoelder Inequalities and Isospin Splitting of the Quark Scalar Mesons
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Boosted Top Quarks in the Peak Region with N${}^3$LL Resummation
• A non-perturbative exploration of the high energy regime in $N_{\text{f}}=3$ QCD
• Infrared Fixed Point Physics in $\mathrm{SO}(N_c)$ and $\mathrm{Sp}(N_c)$ Gauge Theories
• Banks-Zaks fixed point analysis in momentum subtraction schemes
• Optimal Renormalization-Group Improvement of the Perturbative Series for the e^+ e^- -Annihilation Cross-Section
• Heavy-quark vacuum polarization: first two moments of the O(alphas^3 nf^2) contribution
• Four loop MSbar mass anomalous dimension in the Gross-Neveu model
• Asymptotic Improvement of Resummation and Perturbative Predictions in Quantum Field Theory
• Disentangling Long and Short Distances in Momentum-Space TMDs
• REvolver: Automated running and matching of couplings and masses in QCD
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• Improvement of the method of diagonal Pade approximants for perturbative series in gauge theories
• High energy behaviour of form factors
• Threshold Resummed Spectra in B -> Xu l nu Decays in NLO (I)
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• V_us From Hadronin Tau Decays
• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• New spectral representation and evaluation of f_πand the quark condensate <\bar q q> in the terms of string tension
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• Testing the Concept of Quark-Hadron Duality with the ALEPH $\tau$ Decay Data
• N^3LO fits to xF_3 data : ${\alpha }_s$ vs 1/Q^2 contributions
• Perturbative relations between $e^{+}{e}^{-}$ annihilation and $\tau$ decay observables including resummation effects
• Conformal window from conformal expansion
• Quark-antiquark potential to order 1/m and heavy quark masses
• Non-perturbative renormalization by decoupling
• The structure of generic anomalous dimensions and no-$\pi$ theorem for massless propagators
• Analytical five-loop expressions for the renormalization group QED $\beta$-function in different renormalization schemes
• A novel series solution to the renormalization group equation in QCD
• Quirks in supersymmetry with gauge coupling unification
• Exceptional and Spinorial Conformal Windows
• The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy
• Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory
• Three loop renormalization of the SU(N_c) non-abelian Thirring model
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• Measurement of the Lifetime of the Tau Lepton
• The asymptotic behavior of the heavy quark form factors at higher order
• Resummation of the hadronic tau decay width with the modified Borel transform method
• Into the conformal window: multi-representation gauge theories
• m_u+m_d From Isovector Pseudoscalar Sum Rules
• Precision Determination of Heavy Quark Masses and the Strong Coupling Constant
• Renormalization-scale-invariant continuation of truncated QCD (QED) series -- an analysis beyond large-beta_0 approximation
• QCD Studies at LEP
• The one loop MSbar static potential in the Gribov-Zwanziger Lagrangian
• A Lattice Determination of Light Quark Masses
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups
• Conformal symmetry limit of QED and QCD and identities between perturbative contributions to deep-inelastic scattering sum rules
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
• On the Ultraviolet to Infrared Evolution of Chiral Gauge Theories
• Lattice determinations of the strong coupling
• Three loop MSbar renormalization of QCD in the maximal abelian gauge
• Towards a physical expansion in perturbative gauge theories by using improved Baker-Gammel approximants
• Resummation of soft and Coulomb corrections for $t\bar{t}h$ production at the LHC
• Strange quark condensate from QCD sum rules to five loops
• Thrust distribution in Higgs decays at the next-to-leading order and beyond
• How perturbative are heavy sea quarks?
• Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$ four-quark operators
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory
• Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD
• Two- and Three-Loop Data for Groomed Jet Mass
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• General scalar renormalisation group equations at three-loop order
• Hubble Parameter in QCD Universe for finite Bulk Viscosity
• The Strange Quark Mass From Finite Energy Sum Rules
• Four-loop QCD $\beta$-function with different fermion representations of the gauge group
• Pade-Improved Extraction of ${\alpha }_s(M_{\tau })$ from $R_{\tau }$
• Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Scheme-Independent Calculations of Properties at a Conformal Infrared Fixed Point in Gauge Theories with Multiple Fermion Representations
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• QCD threshold corrections to Higgs decay and to hadroproduction in $l^{+}{l}^{-}$ annihilation
• Glue-and-Cut at Five Loops
• Renormalization group dependence of the QCD coupling
• Renormalization-Group Improvement of Effective Actions Beyond Summation of Leading Logarithms
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Isospin Breaking and the Extraction of $m_s$ from the $\tau$-Decay-Like Vector Current Sum Rule
• A Mixed Tau-Electroproduction Sum Rule for V_us
• Impact of Higher Order and Soft Gluon Corrections on the Extraction of Higher Twist Effects in DIS
• Threshold resummation at N${}^3$LL accuracy and approximate N${}^3$LO corrections to semi-inclusive DIS
• Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory
• Setting the Renormalization Scale in pQCD: Comparisons of the Principle of Maximum Conformality with the Sequential Extended Brodsky-Lepage-Mackenzie Approach
• Adler function and Bjorken polarized sum rule: Perturbation expansions in powers of $SU(N_c)$ conformal anomaly and studies of the conformal symmetry limit
• Massless Propagators, $R(s)$ and Multiloop QCD
• Review of LHC experimental results on low mass bosons in multi Higgs models
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Constraints on the I=1 hadronic tau decay and e^+e^- --> hadrons data sets and implications for (g-2)_mu
• The QCD Coupling Constant
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization
• The Strange Quark Mass, alpha_s and the Chiral Limit Electroweak Penguin Matrix Elements From Hadronic Tau Decay Data
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• All two-loop scalar self-energies and tadpoles in general renormalisable field theories
• V_us From Hadronic Tau Decays
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• Renormalization Scheme Dependence in a QCD Cross Section
• Measurement of the Tau Branching Fractions into Leptons
• A perturbative study of two four-quark operators in finite volume renormalization schemes
• New high order relations between physical observables in perturbative QCD
• Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)
• 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
• Formula for two-loop divergent part of 4-D Yang-Mills effective action
• Refined gluino and squark pole masses beyond leading order
• An Integral Formalism for the Construction of Scheme Transformations in Quantum Field Theory
• ALEPH Tau Spectral Functions and QCD
• Review on the determination of alpha_s from the QCD static energy
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Corrections to the $\mathbf{SU}(3)\times \mathbf{SU}(3)$ Gell-Mann-Oakes-Renner relation and chiral couplings $L_8^r$ and $H_2^r$
• OPE of the energy-momentum tensor correlator in massless QCD
• The absence of QCD $\beta$-function factorization property of the generalized Crewther relation in the 't Hooft $\overline{MS}$-based scheme
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Reduction and evaluation of two-loop graphs with arbitrary masses
• Transcendental numbers and the topology of three-loop bubbles
• A Measurement of the tau->electron Branching Ratio
• Matching-invariant running quark masses in Quantum Chromodynamics
• On the calculation of soft phase space integral
• Pade-Improvement of CP-odd Higgs Decay Rate into Two Gluons
• Momentum subtraction and the R-ratio
• Optimized determination of the polarized Bjorken sum rule in pQCD
• Tests of analytical hadronisation models using event shape moments in {\epem} annihilation
• Prospects and Constraints for Vector-like MFV Matter at LHC
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Target mass corrections and higher twist effects in polarized deep-inelastic scattering
• Nonperturbative renormalization of composite operators with overlap fermions
• Forcer: a FORM program for 4-loop massless propagators
• Pseudoscalar Quarkonium+gamma Production at NLL+NLO accuracy
• Ratio of strange to non-strange quark condensates in QCD
• Interplay Between Approximation Theory and Renormalization Group
• The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
• QCD-like technicolor on the lattice
• Asymptotics of the perturbative series for f_{B^*}/f_B
• The Standard Model at 200 GeV
• Joint Extraction of m_s and V_us from Hadronic Tau Decays
• Renormalization Group Functions of the ϕ^4 Theory in the Strong Coupling Limit: Analytical Results
• NNLO corrections to B --> X_u l nu and the determination of |V_ub|
• The heavy quarkonium inclusive decays using the principle of maximum conformality
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• Determination of Lambda in quenched and full QCD - an update
• Double Higgs production at NNLO interfaced to parton showers in GENEVA
• Charmonium potentials: Matching perturbative and lattice QCD
• Isospin-Breaking Vector Meson Decay Constants From Continuous Families of Finite Energy Sum Rules
• Precise perturbative predictions from fixed-order calculations
• Determination of the strong-coupling constant from the $Z$-boson transverse-momentum distribution
• Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
• Three loop QCD MOM beta-functions
• Recent Progress in Perturbative Quantum Field Theory
• Fixed point merger in the SU(N) gauge beta functions
• Nonperturbative renormalisation of composite operators with overlap quarks
• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Studying explicit $U(1{)}_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Achieving renormalization-scale- and scheme-independence in Pade-related resummation in QCD
• Scalar correlator, Higgs decay into quarks, and scheme variations of the QCD coupling
• Extending the Predictive Power of Perturbative QCD Using the Principle of Maximum Conformality and Bayesian Analysis
• Life at the Landau pole
• Fixed and Unfixed Points: Infrared limits in optimized QCD perturbation theory
• FMFT: Fully Massive Four-loop Tadpoles
• Five-loop vacuum polarization in pQCD: O(m_q^2α_s^4 n_f^2) contribution
• Asymptotic freedom from the two loop term of the $\beta$-function in a cubic theory
• General Properties on Applying the Principle of Minimum Sensitivity to High-order Perturbative QCD Predictions
• Calculating four-loop massless propagators with Forcer
• Shear Viscosities from Kubo Formalism in a large-$N_{\mathrm{c}}$ Nambu--Jona-Lasinio Model
• 2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
• Renormalization Scheme Dependence and the Renormalization Group Beta Function
• Understanding perturbative results for decays of τleptons into hadrons
• Dimensional renormalization of Yukawa theories wia Wilsonian methods
• The $\overline{\mathrm{MS}}$-scheme ${\alpha }_s^5$ QCD contributions to the Adler function and Bjorken polarized sum rule in the Crewther-type two-fold $\{\beta \}$-expanded representation
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• Calculations of binding energies and masses of heavy quarkonia using renormalon cancellation
• Solving the Wrong Hierarchy Problem
• Critical exponent $\eta$ at $O(1/N^3)$ in the chiral XY model using the large $N$ conformal bootstrap
• Three-loop QCD corrections to the electroweak boson masses
• Continuum Determination of Light Quark Masses from Quenched Lattice QCD
• Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory
• Refining the GENEVA method for Higgs boson production via gluon fusion
• Eight dimensional QCD at one loop
• Light quark masses for dynamical, non-perturbatively O(a) improved Wilson fermions
• A lattice QCD calculation of the transverse decay constant of the b1(1235) meson
• Anomalous dimension of gluonic operator in polarized deep inelastic scattering at O(1/N_f)
• Global approximants with renormalization scale invariance in pQCD
• Holder Inequalities and Bounds on the Masses of Light Quarks
• A novel determination of non-perturbative contributions to Bjorken sum rule
• Reanalysis of the Higgs-boson decay $H\to gg$ up to ${\alpha }_s^6$-order level using the principle of maximum conformality
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme
• Soft anomalous dimensions and resummation in QCD
• Numerical study of tree-level improved lattice gradient flows in pure Yang-Mills theory
• Four-loop QCD MOM beta functions from the three-loop vertices at the symmetric point
• Properties of the decay $H\to \gamma \gamma$ using the approximate ${\alpha }_s^4$-corrections and the principle of maximum conformality
• Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD
• Chern-Simons perturbative series revisited
• On the electroweak contribution to the matching of the strong coupling constant in the SM
• Determination of the strong coupling from hadronic tau decays using renormalization group summed perturbation theory
• The $alphaalph{a}_s^2$ corrections to the first moment of the polarized virtual photon structure function $g_1^{g}amma(x,Q^2,P^2)$
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• A nonperturbative model for the strong running coupling within potential approach
• Detailed Comparison of Renormalization Scale-Setting Procedures based on the Principle of Maximum Conformality
• Nonperturbative results for two-index conformal windows
• Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
• A note on quark and gluon energy-momentum tensors
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• The equation of state in two-, three-, and four-color QCD at non-zero temperature and density
• The charm quark's mass in quenched QCD
• Nearest-Neighbour-Interactions from a minimal discrete flavour symmetry within SU(5) Grand Unification
• Four loop wave function renormalization in the non-abelian Thirring model
• Anomalous mass dimension of multi-flavor QCD
• The QCD analysis of the revised CCFR data for xF_3 structure function: the next-to-next-to-leading order and Padé approximants
• Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory
• Nonperturbative Contributions in an Analytic Running Coupling of QCD
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Gell-Mann - Low Function for QCD in the strong-coupling limit
• Precision QCD phenomenology of exotic spin-2 search at the LHC
• QCD cusp anomalous dimension: current status
• Renormalization group improved $m_s$ and $|V_{us}|$ determination from hadronic $\tau$ decays
• Renormalisation group effects in SMEFT for di-Higgs production
• Hadronic $\tau$ decay, the renormalization group, analiticity of the polarization operators and QCD parameters
• Higher-order behaviour of two-point current correlators
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme
• Two-Loop Diagrammatics in a Self-Dual Background
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Large-$N_c$ and Large-$N_F$ Limits of SU($N_c$) Gauge Theories with Fermions in Different Representations
• Renormalization-Scale Invariance, Minimal Sensitivity, and the Inclusive Hadronic Decays of a 115 GeV Higgs Particle
• $\Delta I=3/2$ and $\Delta I=1/2$ channels of $K\to \pi \pi$ decay at the physical point with periodic boundary conditions
• Higgs boson rapidity distribution in bottom annihilation at NNLL and beyond
• Four-loop QCD cusp anomalous dimension at small angle
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• ${\beta }_{IR}^{\prime }$ at an Infrared Fixed Point in Chiral Gauge Theories
• The NNLO QCD analysis ofthe CCFR data for $x{F}_3$: $Q^2$-dependence of the parameters
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• disorder: Deep inelastic scattering at high orders
• $Z$-boson hadronic decay width up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections using the single-scale approach of the principle of maximum conformality
• Avoiding the Landau-pole in perturbative QCD
• Non-Extensive Behaviour of the QCD Strong Coupling Constant
• The Vacuum Polarization: Power Corrections beyond OPE ?
• Three-loop QCD matching of the flavor-changing scalar current involving the heavy charm and bottom quark
• Renormalization scheme dependence of high-Order perturbative QCD predictions
• The photon energy spectrum in $B\to X_s\gamma$ at N${}^3$LL${}^{\prime }$
• Scheme variations of the QCD coupling
• OPE of the energy-momentum tensor correlator and the gluon condensate operator in massless QCD to three-loop order
• Physics impact of ILC Higgs coupling measurements: the effect of theory uncertainties
• The scalar glueball operator, the a-theorem, and the onset of conformality
• Studies of Quantum Chromodynamics at the LHC
• Benchmark of deep-inelastic-scattering structure functions at $\mathcal{O}({\alpha }_s^3)$
• NNLO QCD corrections to the resonant sneutrino/slepton production at Hadron Colliders
• Pade Estimate of QCD's Infrared Boundary
• Non-perturbative renormalization factors of bilinear quark operators for Kogut-Susskind fermions and light quark masses in quenched QCD
• On the phase structure of extra-dimensional gauge theories with fermions
• Precision physics with QCD
• Achieving effective renormalization scale and scheme independence via the Principle of Observable Effective Matching
• Higgs Decay, Z Decay and the QCD Beta-Function
• Reanalysis of the top-quark pair production via the $e^{+}{e}^{-}$ annihilation near the threshold region up to N${}^3$LO QCD corrections
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks
• Disentangling perturbative and power corrections in precision tau decay analysis
• Precision DIS thrust predictions for HERA and EIC
• Determining the strange quark mass for 2-flavour QCD
• Five-loop massive tadpoles
• Towards QCD running in 5 loops: quark mass anomalous dimension
• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations
• Three Loop Estimate of the Inclusive Semileptonic $b\to c$ Decay Rate
• Gauge-invariant approach to the beta function in Yang-Mills theories with universal extra dimensions
• Analytical continuation and resummed perturbation theory
• Parton densities and structure functions beyond the next-to-leading order
• Renormalization-group improved Higgs to two gluons decay rate
• The decomposed photon anomalous dimension in QCD and the $\{\beta \}$-expanded representations for the Adler function
• Towards a Two-Loop Matching of Gauge Couplings in Grand Unified Theories
• Determination of the Strong Coupling Constant by the ALPHA Collaboration
• Charm mass effects in bulk channel correlations
• Charm sea effects on charmonium decay constants and heavy meson masses
• Non-perturbative tests of continuum HQET through small-volume two-flavour QCD
• Quark-antiquark static energy from a restricted Fourier transform
• Approximate N${}^5$LO Higgs boson decay width $\Gamma (H\to \gamma \gamma )$
• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• Transmutation of Scale Dependence into Truncation Uncertainty via RG-Improvement of the $R(s)$ Series
• Method for comparing finite temperature field theory results with lattice data
• Three-loop jet function for boosted heavy quarks
• Accuracy and Precision in Collider Event Shapes
• Precision jet measurements at HERA and determination of α_s
• The Banks-Zaks expansion in perturbative QCD: an update
• Approaching the conformal window: systematic study of the particle spectrum in SU(2) field theory with Nf=2, 4 and 6
• Higgs Boson Mass Corrections at Three-Loops in the Top-Yukawa Sector of the Standard Model
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Controlling quark mass determinations non-perturbatively in three-flavour QCD
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet
• B-physics with $N_f=2$ Wilson fermions
• The Higgs-Boson Decay $H\to gg$ to Order ${\alpha }_s^5$ under the mMOM-Scheme
• The NNLO QCD analysis of the CCFR data for xF_3: is there still the room for the twist-4 terms?
• Constraints on Higher-Order Perturbative Corrections in $b\to u$ Semileptonic Decays from Residual Renormalization-Scale Dependence
• One-loop triple collinear splitting amplitudes in QCD
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• QCD fixed points: Banks-Zaks scenario or dynamical gluon mass generation?
• NLO thermal dilepton rate at non-zero momentum
• Three loop effective potential for $⟨\frac{1}{2}{A_{\mu }^a}^2⟩$ in the Landau gauge in QCD
• Bootstrapping leading hadronic muon anomaly
• Hadronic and radiative decays of the tau lepton
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM
• At the Frontier of Precision QCD in the LHC Era
• Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD
• Charged-Lepton Flavour Physics
• On the n -> 0 limit of gamma_gg(a) in QCD
• The determination of potential scales in 2+1 flavor QCD
• Improvement of Renormalization-Scale Uncertainties Within Empirical Determinations of the b-Quark Mass
• Recent progress in computing four-loop massive correlators
• Three loop QCD corrections to heavy quark form factors
• The Joint Extraction of m_s and V_us From Hadronic Tau Decay Data
• Confinement, Chiral Symmetry Breaking, and Axial Anomaly from Domain Formation at Intermediate Resolution
• Pade-Improved Estimate of Perturbative Contributions to Inclusive Semileptonic $b\to u$ Decays
• A Gribov equation for the photon Green's function
• Applications of QCD
• Renormalization-Scheme-Independent Perturbation Theory by Resumming Logarithms
• A nonperturbative method for the Yang Mills Lagrangian
• Low-energy constraints to ${\alpha }_s$
• Spiral Multi-component Structure in Pade - Approximant QCD
• Non-perturbative study of QCD correlators
• Multi-Loop Results, Charm- and Bottom-Quark Masses and the Strong Coupling Constant
• A nonperturbative method for the scalar field theory
• Basic Parameters and Some Precision Tests of the Standard Model
• Probing QCD perturbation theory at high energies with continuum extrapolated lattice data
• Determining alpha_s from the hyperfine splitting mUpsilon(1S)-mEta(b)
• From pQCD to neutron stars: matching equations of state to constrain global star properties
• Chiral Corrections to the Gell-Mann-Oakes-Renner Relation from QCD Sum Rules
• Higgs boson decay into heavy quarks and heavy leptons: higher order corrections
• Contraction and decomposition matrices for vacuum diagrams
• Viscous Conformal Gauge Theories
• QCD at High Energy
• Perturbative QCD fitting of KEDR and BESIII $e^{+}{e}^{-}$ data for R(s) and ${\alpha }_s$ determination
• Theory, phenomenology, and experimental avenues for dark showers: a Snowmass 2021 report
• Do we need Feynman diagrams for higher orders perturbation theory?
• Renormalisation
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond
• Parameter Inference from Final-State Entanglement in Higgs Decays
• QCD factorization for the $B\to \gamma \ell {\nu }_{\ell }$ decay beyond leading power