Bottomonium Production at the Tevatron and the LHC

TL;DR

This paper investigates bottomonium production at the Tevatron and LHC using Monte Carlo simulations with the colour-octet mechanism, extracting relevant NRQCD matrix elements and predicting future production rates.

Contribution

It introduces a Monte Carlo framework for bottomonium production, extracting NRQCD matrix elements and clarifying the role of feeddown from $oldsymbol{ ext{χ}_bJ}$ states.

Findings

Small contribution from $ ext{χ}_bJ$ feeddown in $ ext{Υ}(1S)$ production

NRQCD matrix elements for $ ext{Υ}(1S)$ extracted from data

Predictions for $ ext{Υ}(1S)$ production at LHC energies

Abstract

Inclusive bottomonium hadroproduction at the Tevatron is firstly examined in a Monte Carlo framework with the colour-octet mechanism implemented in the event generation. We extract some NRQCD colour-octet matrix elements relevant for $\Upsilon(1S)$ hadroproduction. Remarkably we find a quite small contribution (compatible with zero) from feeddown of $\chi_{bJ}$ states produced through the colour-octet mechanism: $\Upsilon(1S)$ indirect production via $\chi_{bJ}$ decays should be mainly ascribed to the colour-singlet model. Finally we extrapolate to LHC energies to predict prompt $\Upsilon(1S)$ production rates.