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Particles and Fields

Eur. Phys. J. C 21, 649-657 (2001)
DOI: 10.1007/s100520100747

Factorial correlators: angular scaling within QCD jets

R. Peschanski1 and B. Ziaja2, 3

1  CEA, Service de Physique Théorique, CE-Saclay, 91191 Gif-sur-Yvette Cedex, France
2  Department of Theoretical Physics, H. Niewodniczanski Institute of Nuclear Physics, 31-342 Cracow, Poland
3  High Energy Physics, Uppsala University, P.O. Box 535, 75121 Uppsala, Sweden

(Received: 12 January 2001 / Published online: 7 September 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Factorial correlators measure the amount of dynamical correlation in the multiplicity between two separated phase-space windows. We present the analytical derivation of factorial correlators for a QCD jet described at the double logarithmic (DL) accuracy. We obtain a new angular scaling property for properly normalized correlators between two solid-angle cells or two rings around the jet axis. Normalized QCD factorial correlators scale with the angular distance and are independent of the window size. Scaling violations are expected beyond the DL approximation, in particular from the subjet structure. Experimental tests are feasible, and thus would be welcome.

© Società Italiana di Fisica, Springer-Verlag 2001