A comment on the LLA method, the kT jet algorithm and the BFKL theory

TL;DR

This paper critiques the limitations of the LLA method in high-energy physics, highlighting its insensitivity to certain terms and questioning its adequacy in justifying algorithms like kT jet and the BFKL theory.

Contribution

It provides a critical analysis of the LLA method's shortcomings and its implications for the validity of related theoretical constructs in particle physics.

Findings

LLA method may not capture correct asymptotic behaviors.

Inclusion of beta-terms can alter growth predictions from power to logarithmic.

Questions the sufficiency of LLA in justifying the kT jet algorithm.

Abstract

The leading logarithmic approximation method fails to yield the correct asymptotic behavior in some realistic situations: inclusion of the beta-terms to which the LLA method is insensitive may change a power growth to merely logarithmic. The results of [hep-ph/0101058] indicate that the problem of large-s behavior of total cross sections belongs to this class. Similarly, a reference to the LLA method cannot be sufficient to justify constructions such as the kT jet algorithm.