Signature, factorization, and unitarity in multi-Regge theory: the five- point function

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Nucl. Phys., B, v. B67, no. 1, pp. 189-231

DOI:https://doi.org/10.1016/0550-3213(73)90325-8· OSTI ID:4362632

White, A R

The multi-Regge theory of the five-point function from the Sommerfield- Watson approach is developed and the use that can be made of t-channel unitarity is emphasized. Signature is included systematically so that signature phase factors come out naturally and discontinuities can be taken in a straightfortward way. A general method is given for defining Froissart-Gribov continuations. Using the unitarity relations they satisfy factorization of the individual helicity amplitudes contributing to Regge pole residues is proved. This is sufficient to prove factorization of the full amplitude and its discontinuities in multi-Regge limits as well as the factorization of discontinuities in helicity- pole limits. Reggeon scattering amplitudes are defined which are continuations of t-channel helicity amplitudes to complex helicity. It is shown that the t- channel unitarity relation for these amplitudes contains an extra term, besides the usual phase-space integral, which vanishes when the trajectory function goes through integer points. A generalized crossing relation is given which relates s- and t-channel reggeon amplitudes. (auth)

• Research Organization: CERN, Geneva
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014009
• OSTI ID: 4362632
• Journal Information: Nucl. Phys., B, v. B67, no. 1, pp. 189-231, Journal Name: Nucl. Phys., B, v. B67, no. 1, pp. 189-231; ISSN NUPBB
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*REGGE POLES-- SOMMERFELD-WATSON THEORY
FACTORIZATION
HELICITY
MULTIPLE PRODUCTION
N64500* --Physics (High Energy)--Scattering Theory
PHASE SPACE
SCATTERING AMPLITUDES
UNITARITY