Inclusive cross sections and angular distributions in Reggeon field theory
- 1 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 12 (9) , 2798-2814
- https://doi.org/10.1103/physrevd.12.2798
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 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 -channel unitarity when Pomerons interact among themselves. We also estimate the energy at which our asymptotic forms start to become valid.
Keywords
This publication has 18 references indexed in Scilit:
- Reggeon diagram technique for inclusive processes in the triple-Regge limitPhysical Review D, 1975
- Renormalization point invariance, twisted fans, and critical exponents at finite ϵ in the reggeon calculus.Physics Letters B, 1975
- The origin of a high-energy scale in the Pomeron calculusPhysics Letters B, 1975
- Reggeon calculus rules for the triple Regge regionPhysics Letters B, 1975
- Construction of the Reggeon calculus indimensionsPhysical Review D, 1974
- Higher order ϵ-terms in the renormalization group approach to Reggeon field theoryPhysics Letters B, 1974
- Higher order terms in the ϵ expansion of the pomeron propagatorPhysics Letters B, 1974
- Structure of the Pomeranchuk singularity in Reggeon field theoryPhysical Review D, 1974
- Some General Consequences of Regge Theory for Pomeranchukon-Pole CouplingsPhysical Review D, 1972
- Moving Branch Points inPlane and Regge-Pole Unitarity ConditionsPhysical Review B, 1965