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We review recent progress in the development of an approach valid to any order which unifies the fixed-order DGLAP evolution of fragmentation functions at large x with soft-gluon logarithmic resummation at small x. At leading order, this…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. A. Kniehl

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

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 2015-06-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

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 define a general scheme for the evolution of fragmentation functions which resums soft gluon logarithms in a manner consistent with fixed order evolution. We present an explicit example of our approach in which double logarithms are…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Albino

We study the splitting functions for the evolution of fragmentation distributions and the coefficient functions for single-hadron production in semi-inclusive electron-positron annihilation in massless perturbative QCD for small values of…

High Energy Physics - Phenomenology · Physics 2015-06-05 C. -H. Kom , A. Vogt , K. Yeats

The in-medium modification of the scale dependence of the fragmentation function in dense matter, brought about by higher twist corrections to the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations, is derived. A…

Nuclear Theory · Physics 2009-03-12 A. Majumder

Within the framework of generalized factorization of higher-twist contributions, including modification to splitting functions of both quark and gluon, we get and numerically resolve the medium-modified DGLAP (mDGLAP) evolution equations.…

Nuclear Theory · Physics 2011-09-30 Wei-Tian Deng , Ning-Bo Chang , Xin-Nian Wang

We present a QCD study of fragmentation processes for light and heavy quarks in the semi-inclusive region of large x. Large logarithmic terms, due to soft-gluon radiation, are evaluated and resummed to all perturbative orders in the QCD…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Cacciari , S. Catani

In this short review paper, we discuss some of the recent advances in the field of parton fragmentation processes into hadrons as well as their possible modifications in QCD media. Hadron production data in e+e-, deep inelastic scattering…

High Energy Physics - Phenomenology · Physics 2009-07-22 Francois Arleo

We are investigating the behavior of the fragmentation function of a gluon, denoted as $ D_{g}(x,\mu^2)$, where $\mu$ represents the observable scale. This function is derived from the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP)…

High Energy Physics - Phenomenology · Physics 2025-09-25 H. S. Nakhaei , G. R. Boroun

We study how the rapidity evolution of gluon transverse momentum dependent distribution changes from nonlinear evolution at small $x\ll 1$ to linear double-logarithmic evolution at moderate $x\sim 1$.

High Energy Physics - Phenomenology · Physics 2015-06-23 I. Balitsky , A. Tarasov

We give a detailed account of the phenomenology of all-order resummations of logarithmically enhanced contributions at small momentum fraction of the observed hadron in semi-inclusive electron-positron annihilation and the time-like scale…

High Energy Physics - Phenomenology · Physics 2017-03-15 Daniele P. Anderle , Tom Kaufmann , Felix Ringer , Marco Stratmann

Medium-induced gluon radiation is usually identified as the dominant dynamical mechanism underling the {\it jet quenching} phenomenon observed in heavy-ion collisions. In its actual implementation, multiple medium-induced gluon emissions…

High Energy Physics - Phenomenology · Physics 2010-03-25 N. Armesto , L. Cunqueiro , C. A. Salgado , W. -C. Xiang

It is the central goal of our studies to describe parton fragmentation in the hot and dense medium of a quark gluon plasma (QGP). Under the assumption that the medium is not static and homogeneous, knowledge about the temporal evolution of…

High Energy Physics - Phenomenology · Physics 2015-10-20 Rohrmoser Martin , Gossiaux Pol-Bernard , Gousset Thierry , Aichelin Jörg

Dihadron fragmentation functions and their evolution are studied in the process of $e^+e^-$ annihilation. Under the collinear factorization approximation and facilitated by the cut-vertex technique, the two hadron inclusive cross section at…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Majumder , Xin-Nian Wang

We perform fits of $\Lambda_{\rm QCD}$ and the gluon fragmentation function $D(x,Q)$ at initial scale $Q_0 \gg\Lambda_{\rm QCD}$ to charged light hadron momentum spectra data by evolving in the Modified Leading Logarithm Approximation.…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We consider soft-gluon evolution at the amplitude level. Our evolution includes Coulomb exchanges and applies to generic hard-scattering processes involving any number of coloured partons. We emphasise the special role played by a…

High Energy Physics - Phenomenology · Physics 2018-02-26 René Ángeles Martínez , Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer , Michael H. Seymour

We analyze the general nonlinear evolution equations for multi gluon correlators derived in hep-ph/9709432 by restricting ourselves to a double logarithmic region. In this region our evolution equation becomes local in transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

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
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