Year: 2013
Type: article
Abstract: When high-energy single-hadron production takes place inside an identified jet, there are important correlations between the fragmentation and phase-space cuts. For example, when one-hadron yields are measured in on-resonance $B$-factory data, a cut on the thrust event shape $T$ is required to remove the large $b$-quark contribution. This leads to a dijet final-state restriction for the light-quark fragmentation process. Here, we complete our analysis of unpolarized fragmentation of (light) quarks and gluons to a light hadron $h$ with energy fraction $z$ in ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\mathrm{\text{dijet}}+h$ at the center-of-mass energy $Q=10.58\text{ }\text{ }\mathrm{GeV}$. In addition to the next-to-next-to-leading order resummation of the logarithms of $1\ensuremath{-}T$, we include the next-to-leading order nonsingular $\mathcal{O}(1\ensuremath{-}T)$ contribution to the cross section, the resummation of threshold logarithms of $1\ensuremath{-}z$, and the leading nonperturbative contribution to the soft function. Our results for the correlations between fragmentation and the thrust cut are presented in a way that can be directly tested against $B$-factory data. These correlations are also observed in Pythia but are surprisingly smaller at next-to-leading order.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W2012185837