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We use the NRQCD factorization formalism to calculate the relativistic corrections to the fragmentation function for a gluon fragmenting into a spin-triplet S-wave heavy quarkonium. We make use of the gauge-invariant formulation of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Geoffrey T. Bodwin , Jungil Lee

We compute relativistic corrections to the gluon fragmentation functions to ${}^3P_J^{[1,8]}$ Fock states of heavy quarkonium within non-relativistic QCD factorization framework. We find that, at $\mathcal{O}(v^2)$ sub-leading order, the…

High Energy Physics - Phenomenology · Physics 2026-02-20 Zhi-Guo He , Bernd A. Kniehl , Peng Zhang

We calculate the NLO corrections for the gluon fragmentation functions to a heavy quark-antiquark pair in ${^{1}\hspace{-0.6mm}S_{0}^{[1]}}$ or ${^{1}\hspace{-0.6mm}S_{0}^{[8]}}$ state within NRQCD factorization. We use integration-by-parts…

High Energy Physics - Phenomenology · Physics 2019-05-22 Peng Zhang , Chen-Yu Wang , Xiao Liu , Yan-Qing Ma , Ce Meng , Kuang-Ta Chao

The universal fragmentation functions of gluon into the flavored quarkonia $B_c$ and (polarized) $B_c^*$ are computed within NRQCD factorization framework, at the lowest order in velocity expansion and strong coupling constant. It is…

High Energy Physics - Phenomenology · Physics 2022-10-12 Feng Feng , Yu Jia , Deshan Yang

In the paper, we calculate the fragmentation functions for $c \to \eta_c$ and $b \to \eta_b$ up to next-to-leading-order (NLO) QCD accuracy. The ultraviolet divergences in the real corrections are removed through operator renormalization…

High Energy Physics - Phenomenology · Physics 2021-07-07 Xu-Chang Zheng , Xing-Gang Wu , Xu-Dong Huang

On the basis of perturbative QCD and the relativistic quark model we calculate relativistic corrections to the double $\eta_c$ meson production in proton-proton interactions at LHC energies. Relativistic terms in the production amplitude…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. P. Martynenko , A. M. Trunin

We present the first calculation at next-to-leading order (NLO) in $\alpha_s$ of a fragmentation function into quarkonium whose form at leading order is a nontrivial function of $z$, namely the fragmentation function for a gluon into a…

High Energy Physics - Phenomenology · Physics 2015-05-20 Pierre Artoisenet , Eric Braaten

The gluon fragmentation function of $g \to h_c$ at leading order of strong coupling constant $\alpha_s$ and typical velocity $v$ is calculated in the framework of NRQCD, of which the contributions from both color-singlet and -octet…

High Energy Physics - Phenomenology · Physics 2009-12-01 Gang Hao , YaBing Zuo , Cong-Feng Qiao

In this paper, we compute the relativistic corrections to the fragmentation functions (FFs) of a heavy quark to $B_c$ and $B_c^*$ within the framework of non-relativistic QCD (NRQCD) factorization. The non-singlet and singlet DGLAP…

High Energy Physics - Phenomenology · Physics 2019-09-04 Deshan Yang , Wenjie Zhang

Fragmentation is the dominant production mechanism for heavy hadronic bound states with large transverse momentum. We numerically calculate the initial $g\rightarrow H(Q\bar{Q})$ fragmentation functions (FFs) using the nonrelativistic QCD…

High Energy Physics - Phenomenology · Physics 2016-10-19 S. Mohammad Moosavi Nejad , Delpasand Mahdi

In this work, we present a thorough analysis of $\eta_c(1S,2S)$ quarkonia hadroproduction in $k_\perp$-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for…

High Energy Physics - Phenomenology · Physics 2020-03-18 Izabela Babiarz , Roman Pasechnik , Wolfgang Schäfer , Antoni Szczurek

Within the NRQCD factorization framework, we compute the next-to-leading-order QCD corrections to the gluon fragmentation into the ${}^1S_0^{(1,8)}$ Fock components of a quarkonium, at the lowest order in velocity expansion. We follow the…

High Energy Physics - Phenomenology · Physics 2023-02-15 Feng Feng , Yu Jia

We present a calculation of the leading order QCD fragmentation functions for gluons to split into spin-triplet D-wave quarkonia. We apply them to evaluate the gluon fragmentation contributions to inclusive ^3D_J quarkonium production at…

High Energy Physics - Phenomenology · Physics 2019-08-17 Cong-feng Qiao , Feng Yuan , Kuang-Ta Chao

We present the calculation at next-to-leading order (NLO) in alpha_s of the fragmentation function of a gluon into heavy quarkonium in the color-octet spin-singlet S-wave channel. To calculate the real NLO corrections, we adapt a…

High Energy Physics - Phenomenology · Physics 2019-02-20 Pierre Artoisenet , Eric Braaten

Following the operator definition of the fragmentation function developed by Collins and Soper, we compute the gluon-to-$h_c$ fragmentation function at the lowest order in the velocity expansion in NRQCD factorization approach. Utilizing…

High Energy Physics - Phenomenology · Physics 2020-07-29 Feng Feng , Saadi Ishaq , Yu Jia , Jia-Yue Zhang

We calculate the fragmentation functions for a gluon into $P$-wave $B_c$ mesons within the nonrelativistic QCD factorization framework, incorporating color-singlet and color-octet contributions. Ultraviolet divergences arising from…

High Energy Physics - Phenomenology · Physics 2026-02-03 Xu-Chang Zheng , Xing-Gang Wu

The next-to-leading order (NLO) ($\mathcal{O}(\alpha_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use…

High Energy Physics - Phenomenology · Physics 2020-11-11 Peng Zhang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

In the hadronic decays of Z, gluon emission leads to the appearance of the longitudinal component of the fragmentation function, F_L. Measurement of F_L and the transverse component, F_T, could thus provide an insight into the gluon…

High Energy Physics - Phenomenology · Physics 2009-01-07 T. Sjostrand , O. Smirnova , Ch. Zacharatou Jarlskog

The dominant production mechanism for heavy quark-antiquark bound states in very high energy processes is fragmentation, the splitting of a high energy parton into a quarkonium state and other partons. We show that the fragmentation…

High Energy Physics - Phenomenology · Physics 2014-11-17 Eric Braaten , Tzu Chiang Yuan

The inclusive hadronic production of $\eta_Q$($\eta_c$ or $\eta_b$) pair is proposed to extract the transverse momentum dependent(TMD) gluon distribution functions. We use nonrelativistic QCD(NRQCD) for the production of $\eta_Q$. Under…

High Energy Physics - Phenomenology · Physics 2014-12-03 Guang-Peng Zhang
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