Transverse momentum spectra of charged hadrons in jets at the Tevatron

TL;DR

This paper analyzes the transverse momentum spectra of charged hadrons within jets at the Tevatron, incorporating higher-order corrections and comparing results with experimental data, revealing strong agreement and providing new theoretical insights.

Contribution

It introduces corrected calculations of the hadronic kt-spectrum inside jets, extending the MLLA framework beyond the limiting spectrum approximation and providing a new integral representation for the plateau.

Findings

Results agree well with CDF measurements after normalization.

Higher-order corrections improve the theoretical description.

New integral form for the hump-backed plateau is proposed.

Abstract

The hadronic $\kt$-spectrum inside a high energy jet is determined including corrections of relative magnitude $\cO{\sqrt{\alpha_s}}$ with respect to the Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum approximation (assuming an infrared cut-off $Q_0 =\lqcd$) and beyond ($Q_0\ne\lqcd$). The results in the limiting spectrum approximation are found to be, after normalization, in impressive agreement with measurements by the CDF collaboration. A new integral representation for the "hump-backed" plateau is also reported.