Ambiguities of jet algorithms are reinterpreted as instability wrt small variations of input. Optimal stability occurs for observables possessing property of calorimetric continuity (C-continuity) predetermined by kinematical structure of calorimetric detectors. The so-called C-correlators form a basic class of such observables and fit naturally into QFT framework, allowing systematic theoretical studies. A few rules generate other C-continuous observables. The resulting C-algebra correctly quantifies any feature of multijet structure such as the "number of jets" and mass spectra of "multijet substates." The new observables are physically equivalent to traditional ones but can be computed from final states bypassing jet algorithms which reemerge as a tool of approximate computation of C-observables from data with all ambiguities under analytical control and an optimal recombination criterion minimizing approximation errors. * Permanent address. 5411 Int. J. Mod. Phys. A 1997.12:5411-5529. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 05/16/15. For personal use only.
Regularization 15.29Appendix. General theory of abstract measures 16References 17 b This fact is likely to ignite an ideological discussion. As a preemptive measure, I've made an attempt to clarify certain implicit assumptions behind the conventional point of view on jet counting. This resulted in "philosophical" arguments that are somewhat lengthy and which a pragmatist may not approve of. The subject of hadronic jets, however, is fraught with prejudice (as I discovered in many conversations with both theorists and experimentalists), and it is hard to discuss unarticulated attitudes in brief. I may add that all "philosophical" arguments of this paper are more or less direct answers to the questions raised and attitudes exhibited, by many physicists with whom I discussed these matters. Int. J. Mod. Phys. A 1997.12:5411-5529. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 05/16/15. For personal use only. c For instance, one may need to find -very much by trial and error -an observable with respect to which to perform cuts so as to suppress background. 12,13 d Cf. Ref. 2 as well as the fact that the first modern recombination algorithm was invented in the context of Monte Carlo event generators. 14 e Which are, no doubt, lowly subjects that have nothing to do with The Profound Physics. f The quotations are from the report of Referee A on the first version of Ref. 15. Int. J. Mod. Phys. A 1997.12:5411-5529. Downloaded from www.worldscientific.com by YALE UNIVERSITY on 05/16/15. For personal use only.