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method IV

Sometimes people employed similar approximation as method III, but ignoring the off-diagonal part as;
eqnarray209
This approximation gives the same total cross sections as those of a method III, however might give some deviation in differential distributions.

Obtained results are listed in Table-1 and Figs.9-10. The total cross section shows a very good agreement with exact one. However some distributions show clear deviations from exact ones.

 table222
Table 1: Total cross sections with fixed CM-energy of 240GeV without the proton structure-function and with HMRS(E) structure function. Method II is multiplied by a branching ratio of 1/9. Numbers in parentheses are statistical errors on a last digit.

 figure237
Figure 1:   Feynman diagrams of six body final state. Restrictions of a model are described in the text.

 figure241
Figure 2:   Feynman diagrams of six body final state. Restrictions of a model are described in the text. (cont'd)

 figure245
Figure 3:   Feynman diagrams of six body final state. Restrictions of a model are described in the text. (cont'd)

 figure249
Figure 4:   Feynman diagrams of six body final state. Restrictions of a model are described in the text. (cont'd)

 figure253
Figure 5:   Feynman diagram of a neutralino production via a scalar charm in tex2html_wrap_inline486 collision followed by its cascade decays.

 figure257
Figure 6:   Feynman diagram of a neutralino production via a scalar charm in tex2html_wrap_inline486 collision.

 figure261
Figure 7:   Comparison between full amplitude and isotropic (cascade) decay. Solid histograms come from full amplitude (method-I) and dashed from isotropic decay (method-II). Particle 3=s, Particle 4=tex2html_wrap_inline686, Particle 5=tex2html_wrap_inline688, Particle 6=tex2html_wrap_inline690, Particle 7=tex2html_wrap_inline692, Particle 8=c.

 figure267
Figure 8:   Comparison between full amplitude and isotropic (cascade) decay. Solid histograms come from full amplitude (method-I) and dashed from isotropic decay (method-II). Particle 3=s, Particle 4=tex2html_wrap_inline686, Particle 5=tex2html_wrap_inline688, Particle 6=tex2html_wrap_inline690, Particle 7=tex2html_wrap_inline692, Particle 8=c. Last figure is an angular distribution of muon in W-boson rest frame with respect to a direction of a W momentum in a lab-frame.

 figure273
Figure 9:   Comparison between full amplitude and amplitude-based cascade decay. Solid histograms come from full amplitude (method-I), dashed from method-III and dotted from method-IV. Particle 3=s, Particle 4=tex2html_wrap_inline686, Particle 5=tex2html_wrap_inline688, Particle 6=tex2html_wrap_inline690, Particle 7=tex2html_wrap_inline692, Particle 8=c.

 figure279
Figure 10:   Comparison between full amplitude and amplitude-based cascade decay. Solid histograms come from full amplitude (method-I), dashed from method-III and dotted from method-IV. Particle 3=s, Particle 4=tex2html_wrap_inline686, Particle 5=tex2html_wrap_inline688, Particle 6=tex2html_wrap_inline690, Particle 7=tex2html_wrap_inline692, Particle 8=c. Last figure is an angular distribution of muon in W-boson rest frame with respect to a direction of a W momentum in a lab-frame.


next up previous
Next: About this document Up: Calculation Previous: method III


1998年07月06日 (月) 12時50分17秒 JST