Inclusive Cross-Sections and Angular Distributions in Reggeon Field Theory

Jun, 1975
59 pages
Published in:
  • Phys.Rev.D 12 (1975) 9, 2798
  • Published: Nov 1, 1975
Report number:
  • FERMILAB-PUB-75-049-THY,
  • FERMILAB-PUB-75-049-T

Citations per year

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Abstract:
We use the Reggeon field-theory rules for inclusive reactions to study those processes in the triple-Regge region. We first show that at asymptotic energies the dominant Reggeon graphs have a single Pomeron connected to external fast particles. We construct the sum of these dominant graphs by obtaining the infrared forms of the Pomeron propagator and triple-Pomeron vertex. This is done by an expanded set of renormalization-group equations which allow one to determine the separate dependencies on all momenta and energies. As a by-product we obtain the momentum-transfer dependence of dσdt in 2→2 processes. The inclusive cross section is discussed in detail as to its dependence on momentum transfer and missing mass, and we verify that there is no violation of s-channel unitarity when Pomerons interact among themselves. We also estimate the energy at which our asymptotic forms start to become valid.
  • FIELD THEORY: INFRARED PROBLEM
  • REGGE POLES: REGGEON FIELD THEORY
  • INCLUSIVE REACTION
  • ANGULAR DISTRIBUTION
  • POMERON: PROPAGATOR
  • RENORMALIZATION GROUP
  • INCLUSIVE REACTION: TRIPLE-REGGE LIMIT
  • DIFFERENTIAL CROSS SECTION
  • MOMENTUM TRANSFER
  • DEPENDENCE: MISSING-MASS