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We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/psi at relative order v^4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process…

High Energy Physics - Phenomenology · Physics 2013-01-17 Geoffrey T. Bodwin , U-Rae Kim , Jungil Lee

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

Within the framework of nonrelativistic quantum chromodynamics (NRQCD) factorization, we compute the $\mathcal{O}(v^{4})$ relativistic corrections to the fragmentation of a heavy quark into the color-singlet $^{1}S_{0}^{[1]}$ and…

High Energy Physics - Phenomenology · Physics 2025-12-24 Sai Cui , Yi-Jie Li , Guang-Zhi Xu , Kui-Yong Liu

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 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 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 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

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

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

Within the framework of nonrelativistic QCD (NRQCD) factorization,and based on the Collins--Soper operator definition of fragmentation functions, we present a systematic calculation of the fragmentation functions for a heavy quark…

High Energy Physics - Phenomenology · Physics 2026-02-06 Sai Cui , Sheng-Juan Jiang , Guang-Zhi Xu , Kui-Yong Liu

We study heavy quarkonium production associated with gluons in $\rm e^+e^-$ annihilation as an illustration of the perturbative QCD (pQCD) factorization approach, which incorporates the first nonleading power in the energy of the produced…

High Energy Physics - Phenomenology · Physics 2020-09-11 Kyle Lee , George Sterman

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…

High Energy Physics - Phenomenology · Physics 2017-11-29 Peng Zhang , Yan-Qing Ma , Qian Chen , Kuang-Ta Chao

Within NRQCD factorization framework, in this work we compute, at the lowest order in velocity expansion, the next-to-leading-order (NLO) perturbative corrections to the short-distance coefficients associated with heavy quark fragmentation…

High Energy Physics - Phenomenology · Physics 2021-07-28 Feng Feng , Yu Jia , Wen-Long Sang

The short-distance coefficients for the color-octet 3S1 term in the fragmentation function for a gluon to split into heavy quarkonium states is calculated to order alpha_s^2. The gauge-invariant definition of the fragmentation function by…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eric Braaten , Jungil Lee

We address quarkonium formation at moderate to large transverse momenta, where the single-parton collinear fragmentation prevails over the short-distance emission, directly from the hard sub-scattering, of the constituent heavy-quark pair.…

High Energy Physics - Phenomenology · Physics 2024-05-15 Francesco Giovanni Celiberto

We show that when the factorized cross section for heavy quarkonium production includes next-to-leading power (NLP) contributions associated with the production of the heavy quark pair at short distances, it naturally reproduces all high…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yan-Qing Ma , Jian-Wei Qiu , George Sterman , Hong Zhang

We calculate the four-loop massless QCD corrections with three closed quark lines to quark and gluon form factors. We apply a novel integration by parts algorithm based on modular arithmetic and compute all relevant master integrals for…

High Energy Physics - Phenomenology · Physics 2017-03-01 Andreas von Manteuffel , Robert M. Schabinger

Numerical simulations of the quarkonium spin splittings are done in the framework of lattice nonrelativistic quantum chromodynamics (NRQCD). At leading order in the velocity expansion the spin splittings are of $O(M_Q v^4)$, where $M_Q$ is…

High Energy Physics - Lattice · Physics 2016-09-01 Howard D. Trottier

We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet $^3S_1^{[8]}$ channel, based on the NRQCD factorization approach. The spurious…

High Energy Physics - Phenomenology · Physics 2024-01-02 Miguel G. Echevarria , Samuel F. Romera , Ignazio Scimemi

Hadronic annihilation rate of $1^{+-}$ heavy quarkonium is given to next-to-leading order in $\alpha_s$ and leading order in $v^2$ using a recently developed factorization formalism which is based on NRQCD. The result includes both the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Han-Wen Huang , Kuang-Ta Chao
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