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Related papers: Resummation effects in the bottom-quark fragmentat…

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We present nonperturbative fragmentation functions (FFs) for bottom-flavored ($B$) hadrons both at next-to-leading (NLO) and, for the first time, at next-to-next-to-leading order (NNLO) in the $\overline{\mathrm{MS}}$ factorization scheme…

High Energy Physics - Phenomenology · Physics 2019-06-12 Maral Salajegheh , S. Mohammad Moosavi Nejad , Hamzeh Khanpour , Bernd A. Kniehl , Maryam Soleymaninia

The fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^*$ meson are derived up to QCD next-to-leading order (NLO). They are further computed numerically and presented in figures precisely. In order to reach a higher…

High Energy Physics - Phenomenology · Physics 2020-01-01 Xu-Chang Zheng , Chao-Hsi Chang , Tai-Fu Feng , Xing-Gang Wu

We have derived the coefficients of the highest three 1/x-enhanced small-x logarithms of all timelike splitting functions and the coefficient functions for the transverse fragmentation function in one-particle inclusive e^+e^- annihilation…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Vogt

We compute the fragmentation functions for the production of a Higgs boson at $\mathcal{O}(y_t^2\alpha_s)$. As part of this calculation, the relevant splitting functions are also derived at the same perturbative order. Our results can be…

High Energy Physics - Phenomenology · Physics 2021-09-15 Colomba Brancaccio , Michał Czakon , Terry Generet , Michael Krämer

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

The most important part of the order $\alpha_s^2$ corrections to the charm component of the charged-current structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ have been calculated. This calculation is based on the asymptotic form of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Buza , W. L. van Neerven

Next-to-leading order corrections to fragmentation functions in a light-cone gauge are discussed. This gauge simplifies the calculation by eliminating many Feynman diagrams at the expense of introducing spurious poles in loop integrals. As…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jungil Lee

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

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

In the framework of perturbative QCD in the fourth order over the $\alpha_s$ coupling constant for the production of two pairs of quarks and in the model of weak binding of the quarks into meson, the analysis of the hadronic production of…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Berezhnoy , V. V. Kiselev , A. K. Likhoded

In this contribution, we make use of the QCD perturbative fragmentation function formalism to describe the one-particle inclusive fragmentation of a heavy quark produced in $e^+e^-$ annihilation at $\mathcal{O}(\alpha_S^2)$. We perform the…

High Energy Physics - Phenomenology · Physics 2023-06-06 Leonardo Bonino , Matteo Cacciari , Giovanni Stagnitto

We review the status of the calculation of the time-like splitting functions for the evolution of fragmentation functions to the next-to-next-to-leading order in perturbative QCD. By employing relations between space-like and time-like…

High Energy Physics - Phenomenology · Physics 2008-07-03 S. Moch , A. Vogt

An approach which unifies the Double Logarithmic Approximation at small x and the leading order DGLAP evolution of fragmentation functions at large x is presented. This approach reproduces exactly the Modified Leading Logarithm…

High Energy Physics - Phenomenology · Physics 2011-04-11 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We present the order $\alpha_s^2$ contributions to the coefficient functions corresponding to the longitudinal fragmentation function $F_L(x,Q^2)$. A comparison with the leading order $\alpha_s$ result for $F_L(x,Q^2)$ shows that the…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. J. Rijken , W. L. van Neerven

We present MAPFF1.0_Lambda, the first global analysis at next-to-next-to-leading order in perturbative QCD of the collinear unpolarised fragmentation functions of Lambda hyperons. The fit is based on data from single-inclusive…

High Energy Physics - Phenomenology · Physics 2026-05-08 Valerio Bertone , Alessia Bongallino , Amedeo Chiefa , Miguel G. Echevarria , Gunar Schnell

The leading and next-to-leading threshold logarithms of the QCD corrections to electroproduction of heavy quarks in single-particle inclusive kinematics are resummed to all orders in perturbation theory. The resummed cross-section is used…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sven Moch

We study bottom-quark fragmentation in e+e- annihilation, top and Higgs decay H -> b bbar, using Monte Carlo event generators, as well as calculations, based on the formalism of perturbative fragmentation functions, which resum soft- and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gennaro Corcella , Volker Drollinger

We present the first global analysis of fragmentation functions (FFs) for light charged hadrons ($\pi^{\pm}$, $K^{\pm}$) at full next-to-next-to-leading order in Quantum Chromodynamics (QCD), incorporating world data from both…

High Energy Physics - Phenomenology · Physics 2025-07-28 Jun Gao , XiaoMin Shen , Hongxi Xing , Yuxiang Zhao , Bin Zhou

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 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