Application of gluon to heavy quarkonium fragmentation functions

Qi, Wei; Qiao, C. F.; Wang, Jianxiong

doi:10.1103/physrevd.75.074012

Cited by 13 publications

(16 citation statements)

References 19 publications

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“…Our polarized SDC d O T (z, 2m Q , µ 0 ) seems to be not compatible with the result extracted from physical cross section in Ref. [29]. Other results calculated in this paper are new.…”

Section: Numerical Results and Discussioncontrasting

confidence: 86%

Analytical calculation for the gluon fragmentation into spin-tripletS-wave quarkonium

Zhang

Chen

et al. 2017

Phys. Rev. D

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Fragmentation is the dominant mechanism for hadron production with high transverse momentum. For spin-triplet S-wave heavy quarkonium production, contribution of gluon fragmenting to color-singlet channel has been numerically calculated since 1993. However, there is still no analytic expression available up to now because of its complexity. In this paper, we calculate both polarization-summed and polarized fragmentation functions of gluon fragmenting to a heavy quarkantiquark pair with quantum number 3 S[1] 1 . Our calculations are performed in two different frameworks. One is the widely used nonrelativistic QCD factorization, and the other is the newly proposed soft gluon factorization. In either case, we calculate at both leading order and next-to-leading order in velocity expansion. All of our final results are presented in terms of compact analytic expressions.

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“…Our polarized SDC d O T (z, 2m Q , µ 0 ) seems to be not compatible with the result extracted from physical cross section in Ref. [29]. Other results calculated in this paper are new.…”

Section: Numerical Results and Discussioncontrasting

confidence: 86%

Analytical calculation for the gluon fragmentation into spin-tripletS-wave quarkonium

Zhang

Chen

et al. 2017

Phys. Rev. D

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“…Our result depends on the transverse momentum of the gluon and is in good agreement with the result presented in Ref. [11] when one use the normal definition of the fragmentation parameter, i.e. z = E H /E g .…”

Section: Pos(eps-hep2015)446supporting

confidence: 92%

“…In Ref. [11], using the covariant and non-covariant definitions of the parameter z authors analyzed the uncertainties induced by different definitions of the momentum fraction z in the application of gluon to heavy quarkonium FF. Here, we review the different definitions of the fragmentation parameter defined in the various Lorentz boost invariant forms, i.e.…”

Section: Gluon Ffs Considering Mass Effectsmentioning

confidence: 99%

Gluon and heavy quark perturbative QCD fragmentation functions considering the effects of heavy quarkonium mass

Nejad¹

2016

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015)

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Fragmentation is the dominant production mechanism for heavy-quark-antiquark bound states with large transverse momentum. We analytically calculate the initial scale fragmentation functions (FFs) for a gluon to split into S-wave heavy quarkonium state using the perturbative QCD. Our analytical expression of FF depends on the transverse momentum k T of the gluon, and contains most of the kinematical and dynamical properties of the process. The analyses of this paper differ in that we present an analytical form of the transverse momentum dependent FF, using a different approach (Suzuki's model) in comparison with the numerical results presented in other references where the Braaten's model have been used. These k T dependent FFs are necessary to calculate the differential cross sections dσ /dk T , for which there are experimental data. We also incorporate, for the first time, hadron mass effects in our calculations to improve the FF at the small z regions, where z is the fragmentation parameter. These effects modify the relations between partonic and hadronic variables and reduce the available phase space and are responsible for the low-z threshold.

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“…In reality, the scaling variable z refers to the energy fraction of the fragmenting heavy quark which is taken away by the produced meson and takes the values as 0 ≤ z ≤ 1. In [20], authors studied the theoretical uncertainties due to the freedom in the choice of fragmentation parameter in the presence of heavy quark and meson masses. In fact, hadron mass modifies the relations between partonic and hadronic variables and is responsible for the low-z threshold, although this additional effect is not expected to be truly sizable numerically, its study is nevertheless necessary in order to fully exploit the enormous statistics of the LHC data.…”

Section: Calculation Of Fragmentation Function At Nlo Perturbative Qcdmentioning

confidence: 99%

Heavy-quark fragmentation functions at next-to-leading perturbative QCD

Nejad

Yarahmadi

2016

Eur. Phys. J. A

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It is well-known that the dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation. This mechanism is described by the fragmentation functions (FFs) which are the universal and process-independent functions. Here, we review the perturbative FFs formalism as an appropriate tool for studying these hadronization processes and detail the extension of this formalism at next-to-leading order (NLO). Using the Suzuki's model, we calculate the perturbative QCD FF for a heavy quark to fragment into a S-wave heavy meson at NLO. As an example, we study the LO and NLO FFs for a charm quark to split into the S-wave D-meson and compare our analytic results both with experimental data and well-known phenomenological models.

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Application of gluon to heavy quarkonium fragmentation functions

Cited by 13 publications

References 19 publications

Analytical calculation for the gluon fragmentation into spin-tripletS-wave quarkonium

Analytical calculation for the gluon fragmentation into spin-tripletS-wave quarkonium

Gluon and heavy quark perturbative QCD fragmentation functions considering the effects of heavy quarkonium mass

Heavy-quark fragmentation functions at next-to-leading perturbative QCD

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