COHERENT STATES IN GAUGE THEORIES AND APPLN IN COLLIDER PHY

The idea of coherent states was suggested in QED in the middle of 1960's and in QCD at the end of the 1970's to introduce a realistic definition of initial and final states, where the number of quanta is not determined, unlike the usual approach in perturbation theory. In addition to simply solving conceptual infrared divergences of the S-Matrix, it allows a description of the properties of the QED and QCD radiation to all orders in perturbation theory.

In lepton colliders, it gives a precise determination of the line-shape production of the J/ψ, the Z and the Higgs bosons, while in QCD it allows a realistic description of quark and gluon jets, of the transverse momentum distribution of W, Z and H produced in hadron collisions, and other related quantities.

The book consists of a collection of the articles published by the author and his collaborators in about fifty years, with an introduction highlighting the main results of each article and the various links between them.

• A Note on the Infra-Red Divergence (M Greco and G Rossi)
• Radiative Corrections for Colliding Beam Resonances (M Greco, G Pancheri-Srivastava and Y Srivastava)
• Radiative Corrections to e⁺e^– → μ⁺μ^– Around the Z₀ (M Greco, G Pancheri-Srivastava and Y Srivastava)
• Coherent States and Structure Functions in QED (F Aversa and M Greco)
• On the Study of the Higgs properties at a Muon Collider (M Greco)
• ISR Effects for Resonant Higgs Production at Future Lepton Colliders (M Greco, Tao Han and Zhen Liu)
• Coherent State Approach to the Infra-Red Behaviour of Non-Abelian Gauge Theories (M Greco, F Palumbo, G Pancheri-Srivastava and Y Srivastava)
• Mass Singularities and Coherent States in Gauge Theories (G Curci and M Greco)
• Large Infra-Red Corrections in QCD Processes (G Curci and M Greco)
• Coherent Quark-Gluon Jets (G Curci, M Greco and Y Srivastava)
• QCD Jets from Coherent States (G Curci, M Greco and Y Srivastava)
• Observation of QCD Effects in Transverse Momenta of e⁺e^– Jets (C Berger et al.)
• Vector Boson Production at Colliders: A Theoretical Reappraisal (G Altarelli, R K Ellis, M Greco and G Martinelli)

• Curated collection of articles with applications to past and future colliders