Perturbative thresholds in the physical region

Theoretical physics
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Abstract

We consider unstable-particle scattering in the context of 3-body processes. We show that all partial-wave cross-sections are finite and positive, and the total cross-section is proportional to the transverse size of space in the region of on-shell particle exchange. We comment on the role of loop corrections.

Keywords

Loop Correction Feynman Rule Physical Region Feynman Graph Unstable Particle 
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References

  1. 1.
    R. Peierls, Phys. Rev. Let. 6, (1961), 641CrossRefADSGoogle Scholar
  2. 2.
    I. Ginzburg, Nucl. Phys. Proc. Suppl. 51A, (1996), 85; see also hep-ph/9509314CrossRefADSGoogle Scholar
  3. 3.
    A. Bouzas, W. Y. Cheng, G. Gelmini, Phys. Rev. D55, (1997), 4663; see also hep-ph/9602278ADSGoogle Scholar
  4. 4.
    R. Suart, “Unstable Particles,” in Proceedings of the Ringberg Workshop on Perspectives for Electroweak Interactions in e+e Collisions, B. Kniehl editor, World Scientific, 1995Google Scholar
  5. 5.
    J. Bjorken, S. Drell, “Relativistic Quantum Fields,” McGraw-Hill, New York, (1965)MATHGoogle Scholar
  6. 6.
    S. Coleman, R. Norton, Nuov. Cim. 38, (1965), 438CrossRefGoogle Scholar
  7. 7.
    C. Itzykson, J.-B. Zuber, “Quantum Field Theory,” McGraw-Hill, New York, (1980)Google Scholar
  8. 8.
    A. Erdélyi et al., “Higher Trascendental Functions,” McGraw-Hill, New York, 1953Google Scholar
  9. 9.
    M. Abramowitz, I. Stegun, “Handbook of Mathematical Functions,” Dover, New York, 9th editionGoogle Scholar
  10. 10.
    K. Melnikov, V. Serbo, Nucl. Phys. B483, (1997), 67CrossRefADSGoogle Scholar
  11. 11.
    R. Wheeden, A. Zygmund, “Measure and Integral. An Introduction to Real Analysis,” M. Dekker, New York, (1977)MATHGoogle Scholar
  12. 12.
    M. Veltman, Physica 29, (1963), 186MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  1. 1.Departamento de Física AplicadaCINVESTAV-IPNMéridaMéxico

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