Handbook of Perturbative QCD

The elements, theoretical basis, and experimental status of perturbative quantum chromodynamics are presented. Relevant field-theoretic methods are introduced at a non-specialist level, along with a review of the basic ideas and methods of the parton model. This is followed by an account of the fundamental theorems of quantum chromodynamics, which generalize the parton model. Summaries of the theoretical and experimental status of the important hard-scattering processes are then given, including electron-positron annihilation, deeply inelastic scattering, and hard hadron-hadron scattering, as induced both by electroweak interactions and by quantum chromodynamics directly. In addition, a discussion is presented of the global fitting approach to the determination of parton distributions in nucleons.

Contents

  1. Introduction
  2. Field Theory Background
    1. Lagrangian
    2. Feynman rules and Green functions
    3. From Green functions to experiment
      1. The S matrix and cross sections
      2. UV divergences, renormalization, and schemes
      3. The renormalization scale and experiment
    4. Asymptotic freedom
      1. Forces in QCD and QED
      2. The renormalization group and the effective coupling
    5. Quark masses
    6. Infrared safety
  3. The Parton Model: Fundamental Cross Sections
    1. Overview; heuristic justification
    2. Lepton-hadron cross sections
      1. Deeply inelastic scattering kinematics
      2. Cross sections and parton distributions
    3. e+e- annihilation
      1. Total cross section
      2. Single-hadron inclusive annihilation
      3. Jet cross sections
    4. Drell-Yan production
    5. O(alphaalphas ) processes
    6. The parton model and experiment
      1. Deep-inelastic scattering
        1. Scaling
        2. Quarks as partons
        3. The charge ratio
        4. Quark number sum rules
      2. Electron-positron annihilation into hadrons
        1. Total cross section and scaling
        2. Two-jet final states as evidence for underlying partons
        3. Angular distribution and spin of the parton
      3. Lepton-pair production (Drell-Yan process)
        1. Scaling
        2. Color factor
        3. Cross-section ratios
        4. Angular distribution of the leptons
      4. Other hard processes
  4. Perturbative QCD: Fundamental Theorems
    1. Infrared safety in e+e- annihilation
      1. Total cross section
      2. Other infrared-safe quantities in e+e- annihilation
    2. Factorization theorems in deeply inelastic scattering
      1. Factorization for structure functions
      2. Factorization schemes
      3. Evolution
    3. Other factorization theorems
      1. Drell-Yan
      2. Single-particle inclusive cross sections
    4. Operator definitions of parton distribution and fragmentation functions
      1. Quark distribution functions
      2. Gluon distribution functions
      3. Fragmentation functions
  5. e+e- Annihilation
    1. Total cross section
    2. e+e- total cross section at one loop
    3. Energy-energy correlation
    4. Jets
    5. Calculations
  6. Deeply Inelastic Scattering (DIS)
    1. Use of perturbative corrections in DIS
    2. One-loop corrections in DIS
      1. MS-bar scheme
      2. DIS scheme
    3. Two-loop corrections
    4. Computation of one-loop DIS correction
    5. Review of DIS experiments
      1. Historical perspective
      2. The experiments
      3. Outstanding issues in DIS
    6. Experimental status of parton distributions
      1. General features
        1. Quark densities from nu-H scattering
        2. Valence quark densities in the proton
        3. Valence quark densities in an isoscalar target
        4. Antiquark densities in an isoscalar target
        5. Strange-quark content of an isoscalar nucleon sea
      2. Evolution
        1. Measurements of R(x,Q2 ) versus QCD
        2. Evolution of nonsinglet structure function
        3. Determination of LambdaQCD
        4. Evolution of singlet structure function
    7. Status of DIS sum rules
      1. Introduction
      2. Gross-Llewellyn Smith sum rule
      3. Adler sum rule
      4. Gottfried sum rule
      5. Bjorken sum rule
  7. Electroweak-Induced Hard Hadron-Hadron Cross Sections
    1. Hard-scattering corrections in the Drell-Yan cross section; O(alphas ) corrections
    2. Drell-Yan at two loops
    3. Drell-Yan cross sections: Experimental review
      1. Massive photon production
        1. General experimental techniques
        2. New quarks
        3. Nucleon distributions
        4. Pion distributions
        5. Scaling
        6. The K factor
      2. W and Z production
        1. General experimental techniques
        2. Running of alphas
    4. Direct photons: Theory
    5. Direct-photon production: Experiment
      1. Reconstruction
      2. Conversion
      3. Profiles
      4. Isolation
      5. Experiments
  8. QCD-Induced Hard Hadron-Hadron Cross Sections
    1. Jet production in hadron collisions
      1. Cone definition
      2. Calculations
      3. Rapidity gaps in jet cross sections
    2. Jets in hadron-hadron collisions: Experiment
    3. QCD corrections: Heavy quarks
  9. Global Analysis of Parton Distributions
    1. Evolution of parton distributions
    2. Global analysis
    3. Survey of recent parton distributions

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