Recursive prescription for logarithmic jet rate coefficients

Abstract

We derive a recursion relation for the analytic leading logarithmic coefficients of a final state gluon cascade. We demonstrate the potential of our method by analytically computing the rate coefficients for the emission of up to 80 gluons in both the exclusive-kT (Durham) and generalized inclusive-kT class of jet algorithms. There is a particularly simple form for the ratios of resolved coefficients. We suggest potential applications including the efficient generation of shower histories.

Comments: 18 pages + 1 appendix + 3 references, Published version with extended discussion and added references. Mathematica notebook implementing the recursive algorithm included with the submission