English

Recursive prescription for logarithmic jet rate coefficients

High Energy Physics - Phenomenology 2015-06-16 v2

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.

Cite

@article{arxiv.1305.6319,
  title  = {Recursive prescription for logarithmic jet rate coefficients},
  author = {Erik Gerwick},
  journal= {arXiv preprint arXiv:1305.6319},
  year   = {2015}
}

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

R2 v1 2026-06-22T00:23:25.260Z