Particle jets interpretation
 

In an article titled 'Four jet event shapes in electron-positron annihilation' J.M. Campbell, M.A. Cullen and E.W.N. Glover1 summed up as follows:

Taking together the size of the NLO corrections, the renormalisation scale dependence and poor agreement with data it appears that the inclusion of even higher order corrections and/or power corrections will be necessary to extract any useful information from these observations.

The CLF model offers a different method of interpreting the observations that does not require any corrections. The width of each jet is measured and a constant is used to reduce the scale to that of the wavelength (diameter) table so that the observations can be matched to the wavelength table without further adjustment. (The observations will only match in one position).

Using Figure 3 from the article by Campbell et al, we produce the following graph and table:

   
 

CLF model

 Experimental observations
fraction of λ particle jet    
remainder B1-(A2*B1) width PDG mass PDG ref.
a b      
       
0.1 2.817941013 2.75    
0.090909091 2.561764557      
0.083333333 2.348284177      
0.076923077 2.167646933   2.1676469 13
0.071428571 2.012815009      
0.066666667 1.878627342      
0.0625 1.761213133      
0.058823529 1.65761236   1.6576124 17
0.055555556 1.565522785 1.6 1.5655228 18
0.052631579 1.483126849      
0.05 1.408970506      
0.047619048 1.341876673      
0.045454545 1.280882278      
0.043478261 1.225191745 1.21 1.2251917 23
0.041666667 1.174142089      
0.04 1.127176405      
0.038461538 1.083823466 1.07    
0.037037037 1.043681856   1.0436819 27
0.035714286 1.006407504   1.0064075 28
0.034482759 0.971703797      
0.033333333 0.939313671      
0.032258065 0.90901323      
0.03125 0.880606566      
0.03030303 0.853921519   0.8539215 33
0.029411765 0.82880618      
0.028571429 0.805126004 0.81 0.805126 35
0.027777778 0.782761392      
0.027027027 0.761605679   0.7616057 37
0.026315789 0.741563424 0.75 0.7415634 38
0.025641026 0.722548978   0.722549 39
0.025 0.704485253   0.7044853 40
0.024390244 0.687302686   0.6873027 41
0.023809524 0.670938336   0.6709383 42
0.023255814 0.655335119   0.6553351 43
0.022727273 0.640441139 0.64 0.6404411 44
0.022222222 0.626209114   0.6262091 45
0.02173913 0.612595872   0.6125959 46
0.021276596 0.599561918      
0.020833333 0.587071044      
0.020408163 0.575090003      
0.02 0.563588203      
0.019607843 0.552537453 0.55 0.5525375 51

 

  

It will be noted that one of the jet particles has not been observed by the PDG experimenters.

The measurements of the particle widths could probably be improved by those who conducted the experiment, but, we are limited to enlarging Figure 3.

This illustrate the ability of the CLF model to provide an interpretation for Quantum theory predictions that cannot be made by Quantum theory alone.

1arXiv:hep-ph/9809429v2 17 Nov 1998

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