Precision physics with inclusive QCD processes

Abstract

The inclusive production of hadrons through electroweak currents can be rigorously analysed with short-distance theoretical tools. The associated observables are insensitive to the involved infrared behaviour of the strong interaction, allowing for very precise tests of Quantum Chromodynamics. The theoretical predictions for $\sigma (e^{+}{e}^{-}\to \mathrm{hadrons})$ and the hadronic decay widths of the $\tau$ lepton and the $Z$, $W$ and Higgs bosons have reached an impressive accuracy of $\mathcal{O}({\alpha }_s^4)$. Precise experimental measurements of the $Z$ and $\tau$ hadronic widths have made possible the accurate determination of the strong coupling at two very different energy scales, providing a highly significant experimental verification of asymptotic freedom. A detailed discussion of the theoretical description of these processes and their current phenomenological status is presented. The most precise determinations of ${\alpha }_s$ from other sources are also briefly reviewed and compared with the fully-inclusive results.

50 pages, 18 figures. References added. Version published in Progress in Particle and Nuclear Physics

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• Muon g-2 Theory: the Hadronic Part
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• Corrections of order ${\alpha }_s^3$ to $R_{had}$ in pQCD with light gluinos
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• Precise predictions for dijet production at the LHC
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
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• Measurement of the $\mathrm{t}\overline{\mathrm{t}}$ production cross section, the top quark mass, and the strong coupling constant using dilepton events in pp collisions at $\sqrt{s}=$ 13 TeV
• Five-loop renormalisation of QCD in covariant gauges
• The strong coupling from the revised ALEPH data for hadronic $\tau$ decays
• Complete QCD Corrections to Hadronic $Z$--Decays in Order ${\alpha }_s^4$
• An updated determination of α_s from tau decays
• The large top quark mass expansion for Higgs boson decays into bottom quarks and into gluons
• Higher-order electroweak corrections to the partial widths and branching ratios of the Z boson
• Determination of the QCD Coupling from ALEPH $\tau$ Decay Data
• Determination of m_s and |V_us| from hadronic tau decays
• Two-Loop Gluon-Condensate Contributions To Heavy-Quark Current Correlators: Exact Results And Approximations
• Precision Thrust Cumulant Moments at N^3LL
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
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• The back-to-back region in e^+e^- energy--energy correlation
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• NNLL Resummation for Jet Broadening
• On Higgs decays to hadrons and the R-ratio at N^4LO
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• Nonfactorizable QCD and Electroweak Corrections to the Hadronic Z Boson Decay Rate
• Towards the five-loop Beta function for a general gauge group
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• Single-jet inclusive rates with exact color at $\mathcal{O}({\alpha }_s^4)$
• Precise determination of the strong coupling constant at NNLO in QCD from the three-jet rate in electron--positron annihilation at LEP
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• Perturbative expansion of tau hadronic spectral function moments and alpha_s extractions
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• Perturbative Quark Mass Corrections to the Tau Hadronic Width
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• All-Orders Renormalon Resummations for some QCD Observables
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• QCD Parameters Correlations from Heavy Quarkonia
• Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass
• Mass Corrections to the Vector Current Correlator
• The Strange Quark Mass From Flavor Breaking in Hadronic Tau Decays
• Precision determination of the strong coupling constant within a global PDF analysis
• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• Strange Quark Mass from Tau Lepton Decays with O(alpha_s^3) Accuracy
• The light-quark contribution to the leading HVP term of the muon $g-2$ from twisted-mass fermions
• QCD Analysis of Hadronic $\tau$ Decays Revisited
• Determination of the QCD coupling from the static energy and the free energy
• Current correlators to all orders in the quark masses
• The complete NLO corrections to dijet hadroproduction
• Perturbative expansion of the QCD Adler function improved by renormalization-group summation and analytic continuation in the Borel plane
• A Study of Ultraviolet Renormalon Ambiguities in the Determination of $\as$ from $\tau$ Decay
• Mass Corrections to the Tau Decay Rate
• Determination of the Chiral Couplings L_10 and C_87 from Semileptonic Tau Decays
• Possible duality violations in tau decay and their impact on the determination of alpha_s
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• Determination of αS using OPAL hadronic event shapes at sqrt(s) = 91 - 209 GeV and resummed NNLO calculations
• Resummation for (boosted) top-quark pair production at NNLO+NNLL' in QCD
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• Higgs Decay to Gluons at NNLO
• The alpha_s^3 correction to Gamma (Z^0 -> hadrons)
• Renormalon Singularities of the QCD Vacuum Polarization Function to Leading Order in $1/N_f$
• Virtual Top-Quark Effects on the H->bb-bar Decay at Next-to-Leading Order in QCD
• Uncertainties on ${\alpha }_S$ in the MMHT2014 global PDF analysis and implications for SM predictions
• The ${\alpha }_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit
• Complete QCD Corrections of Order O(α_s^3) to the Hadronic Higgs Decay
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• Higher-order QCD corrections to hadronic $\tau$ decays from Padé approximants
• Expansion functions in perturbative QCD and the determination of ${\alpha }_s(M_{\tau }^2)$
• Moments of event shapes in electron-positron annihilation at NNLO
• Precise determination of ${\alpha }_S(M_Z)$ from a global fit of energy-energy correlation to NNLO+NNLL predictions
• PDF dependence of Higgs cross sections at the Tevatron and LHC: response to recent criticism
• Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)
• Measurement of the strong coupling alpha_S from the three-jet rate in e+e- - annihilation using JADE data
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Pinched weights and Duality Violation in QCD Sum Rules: a critical analysis
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• Extraction of alpha_s from radiative Upsilon(1S) decays
• Matching NLLA+NNLO for event shape distributions
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• Quadratic Mass Corrections of Order ${\alpha }_s^3{m}_q^2/s$ to the Decay Rate of Z- and W- Bosons
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Contour-improved versus fixed-order perturbation theory in hadronic tau decays
• Higgs Decay to Top Quarks at O(α_s^2)
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Chiral condensates from tau decay: a critical reappraisal
• Corrections of Order $\mathcal{O}(G_F{\alpha }_s{m}_t^2)$ to the Higgs Decay Rate $\Gamma (H\to b\bar{b})$
• Two-Loop $O({\alpha }_s{G}_F{m}_t^2)$ Correction to the $H\to b\bar{b}$ Decay Rate
• Determination of ${\alpha }_s(M_{\tau }^2)$ from Improved Fixed Order Perturbation Theory
• A resolution of the inclusive flavor-breaking $\tau$ $|V_{us}|$ puzzle
• $Gamma(H\to b\bar{b})$ to order $\alpha {\alpha }_s$
• The strong coupling from $e^{+}{e}^{-}\to$ hadrons below charm
• The effect on PDFs and ${\alpha }_S(M_Z^2)$ due to changes in flavour scheme and higher twist contributions
• Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
• Singlet Polarization Functions at O(α_s^2)
• Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order
• Expansions of $\tau$ hadronic spectral function moments in a nonpower QCD perturbation theory with tamed large order behavior
• On the longitudinal contributions to hadronic tau decay
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Test of the Running of ${\alpha }_s$ in $\tau$ Decays
• Anomalous dimensions of quark masses in the three-loop approximation
• RS-invariant all-orders renormalon resummations for some QCD observables
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Low-energy constants and condensates from the tau hadronic spectral functions
• Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings
• Low-energy constants and condensates from ALEPH hadronic $\tau$ decay data
• Jet algorithms in electron-positron annihilation: Perturbative higher order predictions
• Determination of the strong coupling constant ${\alpha }_s(m_Z)$ from measurements of the total cross section for top-antitop quark production
• Determination of QCD condensates from tau-decay data
• Conformal mapping of the Borel plane: going beyond perturbative QCD
• V_us From Hadronin Tau Decays
• Non factorizable $O(\alpha {\alpha }_s)$ corrections to the process $Z\to b\bar{b}$
• Renormalon-inspired resummations for vector and scalar correlators- estimating the uncertainty in {alpha}_{s}({m}_τ^{2}) and and α({M}_{Z}^{2})
• High precision determination of ${\alpha }_s$ from a global fit of jet rates
• Calculations for deep inelastic scattering using fast interpolation grid techniques at NNLO in QCD and the extraction of ${\alpha }_s$ from HERA data
• Chiral sum rules and vacuum condensates from tau-lepton decay data
• QCD Description of Hadronic Tau Decays
• Leading fermionic three-loop corrections to electroweak precision observables
• Strong coupling constant and quark masses from lattice QCD
• Corrections of Order $\alpha {\alpha }_s$ to W Boson Decays
• ${\alpha }_s$ and ${\mathrm{V}}_{\mathrm{cs}}$ determination, and CKM unitarity test, from W decays at NNLO
• Updated determination of ${\alpha }_s(m_{\tau }^2)$ from tau decays
• Precise ${\alpha }_s$ determination from charmonium sum rules
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• The uncertainty in ${\alpha }_s(M_Z^2)$ determined from hadronic tau decay measurements
• Understanding perturbative results for decays of τleptons into hadrons

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• QCD Running Couplings and Effective Charges
• Unveiling Hidden Physics at the LHC
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• Determination of perturbative QCD coupling from ALEPH $\tau$ decay data using pinched Borel-Laplace and Finite Energy Sum Rules
• Violations of Quark-Hadron Duality in Low-Energy Determinations of ${\alpha }_s$
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• Resurgence of the QCD Adler function
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Renormalization group improved $m_s$ and $|V_{us}|$ determination from hadronic $\tau$ decays
• Isovector Meson Masses from QCD Sum Rules
• Workshop on Tau Lepton Physics: $30^{\mathbf{th}}$ Anniversary
• A new determination of higher-order QCD corrections to hadronic $\tau$ decays
• Perturbative QCD fitting of KEDR and BESIII $e^{+}{e}^{-}$ data for R(s) and ${\alpha }_s$ determination