New clustering algorithm for multi - jet cross-sections in e+ e- annihilation

Catani, S.; Dokshitzer, Yuri L.; Olsson, M.; Turnock, G.; Webber, B.R.

doi:10.1016/0370-2693(91)90196-W

New clustering algorithm for multi - jet cross-sections in e+ e- annihilation

S. Catani
(
- Cambridge U. and
- INFN, Florence
)
,
Yuri L. Dokshitzer
(
- St. Petersburg, INP and
- Lund U.
)
,
M. Olsson
(
- Lund U.
)
,
G. Turnock
(
- Cambridge U.
)
,
B.R. Webber
(
- Cambridge U.
)

Jul, 1991

7 pages

Published in:

Phys.Lett.B 269 (1991) 432-438

Published: 1991

DOI:

10.1016/0370-2693(91)90196-W

Report number:

CAVENDISH-HEP-91-5

View in:

ADS Abstract Service

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Abstract: (Elsevier)

Cross sections for e + e − → n - jets , as functions of the jet resolution parameter y cut , are computed according to a new clustering algorithm. The jet multiplicity n is defined in such a way that jets i and j with energies E i and E j at relative angle angle θ ij are resolved if y ij = 2(1− cos θ ij ) min (E i 2 , E j 2 ) s>y cut , where s is the centre-of-mass energy squared. Using this algorithm, large higher-order corrections at small values of y cut can easily be evaluated. Our calculations include resummation of leading and next-to-leading logarithms of y cut to all orders in QCD perturbation theory. This enables us to predict the jet cross sections at small y cut for arbitrary n . Simple analytical results for n ⩽5 are presented.

electron positron: annihilation
annihilation: electron positron
jet: electroproduction
electroproduction: jet
jet: multiplicity
jet: resolution
track data analysis
correction: higher-order
quantum chromodynamics: perturbation theory
cross section: formula

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