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Related papers: Order $\alpha_s(Q^2)$ QCD corrections to the polar…

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The $Q^2$ evolution of polarised parton fragmentation functions is discussed using Altarelli-Parisi evolution equations. The first moments of both polarised quark and gluon fragmentation functions are shown to behave in a similar fashion at…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Ravindran

We discuss the polarised fragmentation functions of quarks and gluons in Perturbative Quantum Chromodynamics. The Altarelli-Parisi evolution equations governing these fragmentation functions are presented. We find that the first moment of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Ravindran

We present the higher order QCD corrections to the fragmentation functions and the corresponding cross sections.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

We analyze the second order QCD corrections to the fragmentation functions F_^H_k(x,Q^2) (k=T,L,A) which are measured in e^+~e^- annihilation From these fragmentation functions one can derive the integrated transverse (sigma_T),…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

We present the calculation of the order $\alpha_s^2$ corrections to the coefficient functions contributing to the longitudinal ($F_L(x,Q^2)$) and transverse fragmentation functions ($F_T(x,Q^2)$) measured in electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. J. Rijken , W. L. van Neerven

We discuss the effect of QED corrections in the evolution of polarized parton distributions. We solve the corresponding evolution equations exactly to ${\cal O}(\alpha )$ and ${\cal O}(\alpha_s^2)$ in Mellin $N$-space, extending the…

High Energy Physics - Phenomenology · Physics 2024-10-30 Daniel de Florian , Lucas Palma Conte

The order \alpha_s^2 contributions to the coefficient functions corresponding to the asymmetric fragmentation function $F_A(x,Q^2)$ in $e^+e^-$ annihilation are calculated. From this calculation we infer that the order $(\alpha_s/4\pi)^2$…

High Energy Physics - Phenomenology · Physics 2011-08-11 P. J. Rijken , W. L. van Neerven

We determine the two-loop 'time-like' Altarelli-Parisi splitting functions, appearing in the next-to-leading order Q^2-evolution equations for fragmentation functions, via analytic continuation of the corresponding 'space-like' splitting…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Stratmann , W. Vogelsang

Misprints in the C_F^2 part of the splitting function \Delta P_{gq}^(1) Eq. (3.29) are corrected. Due to a minus sign error between the C_F^2- 1/2 C_A C_F piece and the remaining part of Eq. (A.4), Eq. (3.46) is changed. Finally…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. J. Rijken , W. L. van Neerven

The functions of the gluon fragmentation into $^3P_J$ quarkonium are calculated to order $\alpha_s^2$. With the recent progress in analysing quarkonium systems in QCD we show explicitly how the socalled divergence in the limit of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. P. Ma

Using a simple quark-diquark model, we extract a set of unpolarized and polarized fragmentation functions for the $\Lambda$ based on the available unpolarized $\Lambda$ production data in $e^+ e ^- $ annihilation. It is found that there is…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jian-Jun Yang

We study the inclusive production of $\Lambda$ ($\bar \Lambda$) in several high energy collision processes ($e^+e^-, e^{\pm}p, \nu (\bar \nu)p, pp$), in view of an accurate determination of the unpolarized and polarized fragmentation…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacques Soffer

We estimate the non-perturbative power-suppressed corrections to heavy flavour fragmentation and correlation functions in e^+e^- annihilation, using a model based on the analysis of one-loop Feynman graphs containing a massive gluon. This…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Nason , B. R. Webber

We analyse power corrections to longitudinal and transverse fragmentation processes in e^+ e^- annihilation, based on the assumption of ultraviolet dominance of power corrections. Under this assumption, we determine the dependence of power…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Beneke , V. M. Braun , L. Magnea

We analyze experimental data for the production of Lambda baryons in e^+e^- annihilation in terms of scale dependent, QCD evolved, Lambda fragmentation functions. Apart from the vast majority of the data for which the polarization of an…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. de Florian , M. Stratmann , W. Vogelsang

The revised version contains two additional references i.e. [13], [14] w.r.t. to the original paper. Furthermore Eq. (33) in [11] at the end of the paragraph below (3.17) must be Eq. (33) in [10]. Misprints in the list of references are…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Ravindran , W. L. van Neerven

We present new sets of fragmentation functions in next-to-leading order QCD that are determined from e+e- annihilation data of inclusive particle production. In addition to the O(alpha_s) unpolarized cross section the longitudinal cross…

High Energy Physics - Phenomenology · Physics 2007-05-23 Janko Binnewies

We consider for the first time the QED corrections to the evolution of (un)polarized quark and gluon transverse-momentum-dependent distribution and fragmentation functions (TMDs in general). By extending their operator definition to…

High Energy Physics - Phenomenology · Physics 2018-11-21 Alessandro Bacchetta , Miguel G. Echevarria

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 calculate next to leading order QCD corrections to semi-inclusive polarized deep inelastic scattering and $e^+e^-$ annihilation cross sections for processes where the polarization of the identified final-state hadron can also be…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. de Florian , R. Sassot
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