Heavy quarkonium production at low<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>P</mml:mi><mml:mo>⊥</mml:mo></mml:msub></mml:math>in nonrelativistic QCD with soft gluon resummation

Sun, Peng; Yuan, C.–P.; Yuan, Feng

doi:10.1103/physrevd.88.054008

Cited by 57 publications

(46 citation statements)

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“…When combined with the results of [17], this resummation yields [16] a good description of the low-P T data. It should, however, be stressed that this study introduces three new parameters g 1,2,3 to parametrise the so-called W NP function used the CSS resummation procedure.…”

Section: Complete Nlo Results Within Nrqcdmentioning

confidence: 99%

“…As we discussed in the introduction, a first resummation study has recently been performed within NRQCD [16]. When combined with the results of [17], this resummation yields [16] a good description of the low-P T data.…”

Section: Complete Nlo Results Within Nrqcdmentioning

confidence: 99%

“…A first study of the impact of initial-state radiation (ISR) on the very low P T J/ψ's and ϒ's was recently carried out successfully in NRQCD [16] -yet at the cost of introducing additional nonperturbative parameters.…”

Section: Introductionmentioning

confidence: 99%

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

2015

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We compute the energy dependence of the P Tintegrated cross section of directly produced quarkonia in pp collisions at next-to-leading order (NLO), namely up to α 3 S , 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/ψ, ψ and ϒ(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 α 3 S contribution in the coloursinglet model -which, at α 4 S , however, shows an unphysical energy dependence. A similar observation is made for η 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.

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Section: Complete Nlo Results Within Nrqcdmentioning

confidence: 99%

Section: Complete Nlo Results Within Nrqcdmentioning

confidence: 99%

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

2015

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“…As found in Ref. [34], all the parameters are determined by assuming that the color octet heavy quark pair is dominant channel of the quarkonium production at low transverse momentum. In the same spirit, we can use the same parameters for the CEM.…”

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confidence: 99%

“…[34]. Since we only employ the collinear gluon distribution for the large x gluon from the incident proton, Eq.…”

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confidence: 99%

Forward heavy quarkonium productions at the LHC

Watanabe¹,

Xiao²

2015

Phys. Rev. D

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We investigate the low transverse momentum heavy quarkonium (J/ψ, Υ) productions in the forward rapidity region of pp and pA collisions at the LHC as an important probe to the transverse momentum tomography of the gluons in hadrons in the Color Glass Condensate (CGC) framework. By implementing the Sudakov resummation consistently in the CGC formalism, we achieve an excellent agreement between the improved CGC calculations and the LHC data. We show that both the small-x and the Sudakov effects are essential for a complete description of heavy quarkonium productions in the low transverse momentum region. This provides a solid foundation to study the small-x gluon saturation in a big nucleus with the future pA programs at the LHC.PACS numbers: 24.85.+p, 14.40.Pq, 12.38.Bx Introduction-Due to the rich and complex dynamics of strong interaction and its close connection to various interesting phenomena, heavy quarkonium production in high energy collisions has been one of the most intriguing subjects in the study of strong interaction physics. In particular, as the objective of this paper, it has been shown that the low-p ⊥ spectrum of forward rapidity heavy quarkoniums produced in high energy pp (pA) collisions carries important information of the gluon saturation at small-x. The concept of gluon saturation [1,2] comes from the anticipation of gluon recombination when its density becomes extremely high in high energy collisions. The associated dynamics is one of the challenging physics topics in current and future nuclear science program around the world [3].There have been intensive theoretical studies on heavy quarkonium productions in the small-x saturation framework, i.e., the Color-Glass-Condensate (CGC) formalism. They have shown that the typical transverse momentum of produced quarkonium is around the saturation momentum Q s (x g ) [4][5][6][7][8][9][10][11][12] . As a function of the longitudinal momentum fraction of target hadron x g , the saturation momentum increases when x g decreases, and it characterizes the typical transverse momentum that small-x gluons carry in a hadron. It can also be derived from the boundary which separates the dilute regime from the dense saturated regime where gluons evolve non-linearly. The non-linear evolution equation at small-x (or high energy) is known as the Balitsky-Kovchegov (BK) equation [13,14], which has been implemented numerically in CGC formalism.The physical picture of quarkonium productions in the CGC framework is as follows. Either before or after interacting with the dense gluons in the target hadron, a large x gluon from projectile proton fluctuates into a pair of heavy quarks, which eventually forms a bound state of quarkonium with transverse momentum p ⊥ . In the low p ⊥ region, the main contribution of the transverse momentum broadening is due to gluon saturation effects. At forward rapidity y, the kinematics indicates that x g from the target side is much smaller than the one in the projectile. This is the ideal region for the study of small-x physics. ...

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An effective field theory approach to quarkonium at small transverse momentum

Fleming

Makris

Mehen

2020

J. High Energ. Phys.

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In this work we apply effective field theory (EFT) to observables in quarkonium production and decay that are sensitive to soft gluon radiation, in particular measurements that are sensitive to small transverse momentum. Within the EFT framework we study χ Q decay to light quarks followed by the fragmentation of those quarks to light hadrons. We derive a factorization theorem that involves transverse momentum distribution (TMD) fragmentation functions and new quarkonium TMD shape functions. We derive renormalization group equations, both in rapidity and virtuality, which are used to evolve the different terms in the factorization theorem to resum large logarithms. This theoretical framework will provide a systematic treatment of quarkonium production and decay processes in TMD sensitive measurements.

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Heavy quarkonium production at lowP⊥in nonrelativistic QCD with soft gluon resummation

Cited by 57 publications

References 47 publications

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

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

Forward heavy quarkonium productions at the LHC

An effective field theory approach to quarkonium at small transverse momentum

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