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Fermion-Fermion Scattering in a Yang-Mills Theory at High-Energy: Sixth Order Perturbation Theory

1975
53 pages
Published in:
  • Phys.Rev.D 12 (1975) 3257
DOI:
Report number:
  • ITP-SB-75-21
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197619871998200920180246810
Abstract: (APS)
We study the high-energy behavior of the elastic scattering of two isospin-½ ferminos interacting through the Yang-Mills field. The Higgs mechanism is invoked so that there is no infrared divergence. In the sixth order, the amplitude for isovector exchange is found to behave as sln2s multiplied by a function of t, while the amplitude for isoscalar exchange behaves as slns multiplied by another function of t. These results are qualitatively different from the answers previously given in the literature. In particular, there is no contribution to the leading terms from large transverse momentum transfers; this is the reason why we obtain one less factor of lns in sixth order.
  • FERMION FERMION: ELASTIC SCATTERING
  • ELASTIC SCATTERING: FERMION FERMION
  • ELASTIC SCATTERING: HIGH ENERGY BEHAVIOR
  • FIELD THEORETICAL MODEL: YANG-MILLS
  • PERTURBATION THEORY: HIGHER-ORDER
  • MODEL: HIGGS
  • EXCHANGE: ISOVECTOR
  • FEYNMAN GRAPH
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