Energy dependence of direct-quarkonium production in $pp$ collisions from fixed-target to LHC energies: complete one-loop analysis

Feng, Yu; Lansberg, Jean-Philippe; Wang, Jian-Xiong

doi:10.1140/epjc/s10052-015-3527-1

Energy dependence of direct-quarkonium production in $pp$ collisions from fixed-target to LHC energies: complete one-loop analysis

Yu Feng
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)
,
Jean-Philippe Lansberg
(
- Orsay, IPN
)
,
Jian-Xiong Wang
(
- Beijing, Inst. High Energy Phys. and
- TPCSF, Beijing
)

Apr 1, 2015

15 pages

Published in:

Eur.Phys.J.C 75 (2015) 7, 313

Published: Jul 8, 2015

e-Print:

1504.00317 [hep-ph]

DOI:

10.1140/epjc/s10052-015-3527-1

View in:

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Abstract: (Springer)

We compute the energy dependence of the

P_T

-integrated cross section of directly produced quarkonia in pp collisions at next-to-leading order (NLO), namely up to

\alpha _S^3

, within nonrelativistic QCD (NRQCD), treating the

P_T

-integrated and the

P_T

-differential cross sections as two different observables. The colour-octet NRQCD parameters needed to predict the

P_T

-integrated yield can thus be extracted from the fits of the

P_T

-differential cross sections at mid and large

P_T

. For the first time, the total cross section is evaluated in NRQCD at full NLO accuracy using the recent NLO fits of the

P_T

-differential yields. Both the normalisation and the energy dependence of the

J/\psi

,

\psi '

and

\Upsilon (1S)

we obtained disagree with the data except when using the fit results of Butenschoen and Kniehl. If one disregards the colour-octet contribution, the existing data in the TeV range are well described by the

\alpha _S^3

contribution in the colour-singlet model – which, at

\alpha _S^4

, however, shows an unphysical energy dependence. A similar observation is made for

\eta _{c,b}

. All this underlines the necessity for a resummation of initial-state radiations in both channels, which is, however, beyond the scope of this article. In any case, past claims that colour-octet transitions are dominantly responsible for low-

P_T

quarkonium production are not supported by our results.

Note:

15 pages, 22 Figures, LaTeX uses svepjc3.clo, svglov3.clo, svjour3.cls (included)

CERN LHC Coll
p p: scattering
quantum chromodynamics: nonrelativistic
quantum chromodynamics: correction
quarkonium: direct production
quarkonium: suppression
cross section: energy dependence: calculated
cross section: correction
correction: higher-order
higher-order: 1

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