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We present a general discussion of collider processes with not-completely inclusive production of heavy flavors. We review the Perturbative Fragmentation Functions formalism as the appropriate tool for studying such processes and detail the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander Mitov

This talk summarizes the results of a phenomenological analysis of heavy quark fragmentation data published by the CLEO and BELLE collaborations at \sqrt{s} = 10.6 GeV and by the LEP collaborations at \sqrt{s} = 91.2 GeV. Several…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matteo Cacciari , Paolo Nason , Carlo Oleari

It has recently been noticed that heavy quark ($Q$) and gluon ($g$) fragmentation to heavy quarkonium states ($Q\bar{Q}$) can be calculated in perturbative QCD. This technique allows for the inclusion of a subset of higher order corrections…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael A. Doncheski

In the framework based on the quasipotential method and relativistic quark model a new covariant expression for the heavy quark fragmentation amplitude to fragment into the pseudoscalar and vector S-wave heavy mesons is obtained. It…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. P. Martynenko

We present a determination of the b-quark mass accurate through O(\alpha_s^2) in perturbation theory and including partial contributions at O(\alpha_s^3). Nonperturbative input comes from the calculation of the Upsilon and B_s energies in…

High Energy Physics - Lattice · Physics 2013-04-29 A. J. Lee , C. J. Monahan , R. R. Horgan , C. T. H. Davies , R. J. Dowdall , J. Koponen

We present an uncertainty-aware description of leading-power fragmentation for all-charm pentaquark states ($S$-wave $|cccc\bar{c}\rangle$) at hadron colliders. We construct a multimodal set of collinear fragmentation functions, PQ5Q1.1,…

High Energy Physics - Phenomenology · Physics 2026-05-05 Francesco Giovanni Celiberto

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

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

I present new results on the quark distribution in an on-shell heavy quark in perturbative QCD and explore its all-order relations with heavy-quark fragmentation. I first compute the momentum distribution function to all orders in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Einan Gardi

Fragmentation of heavy quarks into heavy-flavoured hadrons receives both perturbative and non-perturbative contributions. We consider perturbative QCD corrections to heavy quark production in $e^+e^-$ collisions to next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2024-06-12 Leonardo Bonino , Matteo Cacciari , Giovanni Stagnitto

We describe a new approach to heavy-quark fragmentation which is based on a resummed perturbative calculation and parametrization of power corrections, concentrating on the z -> 1 limit, where the heavy meson carries a large fraction of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Einan Gardi , Matteo Cacciari

In this paper, we compute the first set of ${\cal O}(\alpha_s^2)$ corrections to semi-inclusive deep inelastic scattering structure functions. We start by studying the impact of the contribution of the partonic subprocesses that open at…

High Energy Physics - Phenomenology · Physics 2017-03-01 Daniele Anderle , Daniel de Florian , Yamila Rotstein Habarnau

The next-to-next-to-leading order (NNLO) corrections in massless perturbative QCD are derived for the parton distributions of the photon and the deep inelastic structure functions F_1^gamma and F_2^gamma. We present the full photonic…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Moch , J. A. M. Vermaseren , A. Vogt

Initial conditions are required to solve medium modified DGLAP (mDGLAP) evolution equations for modified fragmentation functions due to multiple scatterings and parton energy loss. Such initial conditions should in principle include energy…

Nuclear Theory · Physics 2014-03-26 Ning-Bo Chang , Wei-Tian Deng , Xin-Nian Wang

In the paper, we derive the next-to-leading order (NLO) fragmentation function for a heavy quark, either charm or bottom, into a heavy quarkonium $J/\Psi$ or $\Upsilon$. The ultra-violet divergences in the real corrections are removed…

High Energy Physics - Phenomenology · Physics 2019-07-17 Xu-Chang Zheng , Chao-Hsi Chang , Xing-Gang Wu

We investigate the leading-power fragmentation of triply heavy $\Omega$ baryons in high-energy hadronic collisions. Extending our previous work on the $\Omega_{3c}$ sector, we release the full OMG3Q1.0 family of collinear fragmentation…

High Energy Physics - Phenomenology · Physics 2026-04-03 Francesco Giovanni Celiberto

Effects of heavy sea quarks on the low energy physics are described by an effective theory where the expansion parameter is the inverse quark mass, 1/$M$. At leading order in 1/$M$ (and neglecting light quark masses) the dependence of any…

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. B. Arbuzov , U. E. Voznaya

Semi-inclusive hadron-production processes are becoming important in high-energy hadron reactions. They are used for investigating properties of quark-hadron matters in heavy-ion collisions, for finding the origin of nucleon spin in…

High Energy Physics - Phenomenology · Physics 2015-05-28 M. Hirai , S. Kumano

We calculate the fragmentation function for a light quark to decay into a lepton pair to leading order in the QCD coupling constant. In the formal definition of the fragmentation function, a QED phase must be included in the eikonal factor…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Jungil Lee