Inclusive prompt production at the LHC

A. G. Shuvaev; V. A. Khoze; A. D. Martin; M. G. Ryskin

doi:10.1140/epjc/s10052-015-3840-8

EPJ

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2015) 75: 616
https://doi.org/10.1140/epjc/s10052-015-3840-8

Regular Article - Theoretical Physics

Inclusive prompt $\chi _{c,b}(1^{++})$ production at the LHC

A. G. Shuvaev¹, V. A. Khoze¹^,2, A. D. Martin²^* and M. G. Ryskin¹^,2

¹ Petersburg Nuclear Physics Institute, NRC Kurchatov Institute, Gatchina, St. Petersburg, 188300, Russia
² Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE, UK

^* e-mail: a.d.martin@durham.ac.uk

Received: 7 July 2015
Accepted: 11 December 2015
Published online: 28 December 2015

Abstract

We study the prompt production of the $\chi _c(1^+)$ and $\chi _b(1^+)$ mesons at high energies. Unlike $\chi (0^+,2^+)$ production, $\chi (1^+)$ mesons cannot be created at LO via the fusion of two on-mass-shell gluons, that is, $gg\rightarrow \chi _{c,b}(1^+)$ are not allowed. However, the available experimental data show that the cross sections for $\chi _c(1^+)$ and $\chi _c(2^+)$ are comparable. We therefore investigate four other $\chi (1^+)$ production mechanisms: namely, (i) the standard NLO process $gg\rightarrow \chi _{c,b}(1^+)+g$ , (ii) via gluon virtuality, (iii) via gluon reggeisation and, finally, (iv) the possibility to form $\chi _{c,b}(1^+)$ by the fusion of three gluons, where one extra gluon comes from another parton cascade, as in the Double Parton Scattering processes.